In the last module consisting of about 5 lectures, we have laid the foundation or mathematical foundation for getting into the electromagnetic theory. We will now begin with a discussion of electrostatics as the name suggests that this is phenomena associated with charges which are not in motion. So, we will be talking about electric field and consequently a potential which arises from such a field. We begin with the basic principle of electrostatics which is a charge q, it attracts or repels other charges depending upon the sign of the charge and the force between charges is given by what is known as Coulomb's law. So, if you look at this diagram you will realize that there is a charge q 1 I have kept at the position r 1 and there is a charge q 2 at the position r 2. The origin is absolutely arbitrary because the form of the law does not depend upon choice of the position. The force between q 1 and q 2 is proportional to the product of the charges q 1 into q 2 and is inversely proportional to the square of the distance namely r between them. The direction of the force is along the line joining the two charges it is and there is of course a multiplicative constant which is in SI units it is usually written as 1 over 4 pi epsilon 0 where epsilon 0 is known as the permittivity of the free space. I am assuming that these charges are interacting in vacuum that is with no medium they are being there. What happens when there is a medium in which these charges are located is something which we will be talking about much later in these lectures. Now, if f 1 2 is the force on the charge 2 due to the charge 1 then by Newton's third law the force 1 due to charge 2 is just the negative of that that is the famous action reaction principle and you have f 1 2 is equal to minus f 2 1. So, let us summarize what are the properties of the Coulomb's law force number 1 to note is that the force is inversely proportional to distance and it is well second thing is that if you look at the form then it is clear that the force is repulsive if it is between like charges and is attractive if the charges happen to be dissimilar that is one is positive the other one is negative. The another characteristic of this charge is it is a 1 over r square force which is essentially a long range force. Long range forces are those whose range go is essentially infinite that is the force really never becomes 0 accepting at infinite distance. The other point to note is that the force is central force the characteristic of the central force is that it is a force whose magnitude depends only on the distance between the two charges. And the second thing is its direction its direction is along the line joining the two charges. Along the line joining the two charges can imply that it is attractive or repulsive depending upon the mutual signs of these two charges. The constant of proportionality which in standard international or SI units is written as 1 over 4 pi epsilon 0 the 1 over 4 pi epsilon 0 to a great deal of precision is 8.9874 into 10 to 9. But for all practical purpose we can take it as 9 into 10 to 9 Newton meter square per coulomb square. And the epsilon 0 itself is the 8.854 into 10 to minus 12 coulomb square by Newton meter square. Now, before we begin the process of electrostatics let us look at this force little more in detail. It turns out that in the nature we have basically four types of forces there they go by the name four fundamental forces of nature. The weakest of the force is what keeps our solar system the planets all the planets the sun everything at their place. And it is because of the gravitational force this is an attractive force like electromagnetic force. However, it is of infinite range it is a long range force. However, its strength is very small. Now, in a relatively speaking they there is a force which is known as the strong force I will come to a discussion of that little while later. But assuming that strong force is has a unit 1 then the gravitational force has a magnitude which is 10 to the power minus 39 times that of the force which binds the nucleons the nucleons together inside a nucleus. So, it is an extremely weak force. The next weaker force again in this course we will have not much to do with it is what is known as a weak nuclear force. This is a force which is responsible for beta decay and it has a range which is fairly small 10 to the power minus 18 meters and it is called weak nuclear force. And its strength if gravitational force has a strength of 10 to minus 39 the weak nuclear force has a strength of 10 to minus 6. So, therefore, it is stronger than gravitational force, but you know it is still a weak force. The third force is the one with which we are involved in this course which is the electromagnetic force of course in this part this module we will be talking mostly about electrostatics what is electromagnetic about it we will come back much later. So, electromagnetic force has a relative strength of 1 over 137 1 over 137 is a number which is the magnitude of the fine structure constant E square over C h cross h cross being the Planck's constant. So, the electromagnetic force has a strength relative strength of E square over C h cross C is the speed of light h cross is a Planck's constant and this number to a great deal of accuracy is 1 over 137 is the electronic charge. So, it is something like 10 to minus 2 of the order 10 to minus 2, but the strongest of them all is what is known as a strong nuclear force. You all know that inside a nucleus there are protons and neutrons, neutrons are neutral objects whereas protons are positively charged objects. Now, in a nucleus these are bound together in spite of the fact that the protons all have similar charges and the electrostatic or electromagnetic force between them is repulsive and neutron has no charge at all. So, and the gravitational force is the only other force that could come in for neutral objects and it is extremely weak force, but nevertheless the nucleus is bound together. Now, nucleus is bound together by a very special force and its name is strong force, strong nuclear force. It exists between neutrons, protons, protons, protons and neutron, neutron. It is an extremely short range force. Its range is of the order of 10 to the power minus 15 meters which is also called a Fermi which is also called a Fermi and that is typical nuclear dimension. Now, this force is I am taking its strength as equal to 1. So, compared to this force strong nuclear force the electromagnetic force is about 1 by 100 I mean 2 orders of magnitude smaller. Now, second thing is that there is a problem that we come across which I will be briefly touching upon little later and it appears that if you go from the classical theory to the quantum theory which is known as the quantum field theory knowledge of it is not important for our purpose, but it turns out that the force between two objects any two objects is mediated by a third particle which is normally known as the carrier that is the crude explanation of that is that supposing you are looking at the interaction between let us say two charged bodies. Then the picture is these two charged bodies are continuously exchanging particles and thereby remaining in touch with each other. And the fact that the force is propagated from or force exists between two objects is because of the fact that they continuously exchange particles and these particles are known as bosons the incidentally boson the name is after the famous Indian scientist Satya Narnath Bose and so these bosons are exchanged. Now, for reasons that I cannot go into in this course that if a force if the force between two objects is of finite range. Now, we already talked about strong force and the weak nuclear force if it is of finite range then the exchanged particles have masses that is their particles which have mass. On the other hand if the force is of long range namely of infinite range as it is for the gravitational force and the electromagnetic force then the particles which they exchange happen to be massless. For our purpose the electromagnetic force is a long range force. So, therefore, between two charged objects there is always an exchange of a massless particle or a massless boson. The name of this massless boson is a photon photons are actually quantum of light, but again we will be probably talking about it in another course. So, and the photon is a neutral object without any mass. So, basically our picture our picture of the force between two objects is that they are continuously exchanging photons and normally photons are represented by the letters in letter gamma. So, continuously they are exchanging photons. Another problem that I would like to point out in this context is that the existence of this inverse square law force a long range force that is perfectly as long as as long as the charges are static. The however supposing the charge one of the charge let us say moves. Now imagine these two charges are located at great distance how does the force between them instantaneously change. Now this thing is called action at a distance in physics action at a distance means that the force if one of the object changes its position let us say. The force on the second one because the distance has changed it changes instantaneously. Now this is very difficult to understand because according to special theory of relativity propounded by Einstein no signal no information can ever travel with a speed greater than the speed of light in vacuum which is 3 into 10 to 8 meter per second. So, therefore how does it work that as when a object moves this information is essentially instantaneously transmitted to the object on which it is exerting a force. Now it is in this context that one introduces the concept of a field associated with a charged object. We have discussed in detail the fields scalar and the vector fields, but think of it very crudely in the following manner. Imagine it is a crude picture let us say that I am talking about two objects with each of which I associate a medium and this medium let us say is tightly bound to these two objects. Now when I move one of the particles it deforms that medium it deforms that medium because the charged body object is tightly bound to this medium which we are talking about. I am not talking about a material medium at this moment I am just this is just to fix your ideas. Therefore this deformation can propagate and ultimately be communicated to other objects on which this one is exerting a force. Now instead of talking about a medium we say that with every object a field is associated this field is the electromagnetic field and when an object moves the field associated with that object changes and this information this information or deformation of the field if you like progresses with the speed of light. The electromagnetic theory is completely consistent with the special theory of relativity. So, let us proceed and define the electric field. Now this is something which we have discussed earlier and the field that is associated with a charged object is a vector field. In this case we are talking about an electric field. Now in order to fix our ideas about what is an electric field consider a small charge a minute charge I will call it test charge. I have a charge let us suppose this charge is q I do not care how big or small that charges and around surrounding this I have my electric field of this charge q. Now what I do is I put a small charge let us call it q test at a distance let us say r. Now this charge as I told you is infinity similarly small this is this is the required. It is required because there is a field due to the charge q and if you bring in a test charge this test charge will have its own field which will result in changing the field of this charge q itself and this process will go on. Now if you bring in a infinity similarly small charge we assume that its field is not strong enough to significantly change the electric field due to this charge q. Now then we define the field due to charge q as the ratio of the force that is felt by this test charge q in the divided by the magnitude of the test charge in the limit of this test charge going to 0 the magnitude of the test charge going to 0. So the electric field of the source charge which I called as q there is the force exerted on a unit test charge the formal definition is E is equal to limit q test going to 0 of force F on the q test divided by the q test. Now obviously such a definition does not depend upon the magnitude of the test charge q itself q t itself. Now so if according to this definition if the electric field at the point p happens to be E then if you put a charge now this electric field is due to some source or sources I am not specifying now what has given rise to this electric field. Now suppose you put a charge q at this point p then a charge q at that point will experience a force given by q times E. Now let us suppose let us suppose the electric field is generated by a charge q 1 which is at the position r 1 then the electric field at the point p remember that the if there is a charge q at p the force between q 1 and q 2 is given by q 1 q 2 divided by the distance square the square of this distance. And for the electric field I divide by the charge I am test charge I am putting at p.  Now I come to what is known as a superposition principle. Now superposition principle is that if the source of the electric field is due to multiple charges many charges. So, I think I have got a charge q 1 at r 1 q 2 at r 2 etcetera. Then so this picture for instance talks about only 2 charges but this I can generalize it to any number of charges I have a charge q 1 at the position r 1 q 2 at the position r 2 and I am still looking at what is the field at the point p. Now notice that electric field is a vector so therefore, the charge the q 1 gives rise to a force the field which is directed like this along the line joining p and q 1 and it has some magnitude. Similarly, the force the charge q 2 at p gives right in the electric field which is directed like this you do a vector addition. So, the resultant field at p due to q 1 at r 1 and q 2 at r 2 is the vector some of the forces exerted on a test charge on a unit test charge kept at the point p. Now if I generalize it to multiple charges then this becomes e the electric field at the point p is equal to 1 over 4 pi epsilon 0 sum over i q i which is the i th charge located at the position r i vector r which is vector r is the position vector of the point p with respect to our origin minus r i by r minus r i q. Now this is known as the super position principle. Now we assume that the super position principle is valid for the electric field that is the effect of multiple charges is simply the linear sum of the effects due to individual charges. Fair enough so we have talked about what happens to the electric field due to a single point charge or multiple charges located at discrete points in space. Now I can generalize it to include continuous charge distribution. So, let us look at what is meant by continuous charge distribution. . Supposing I take a curve and in this arbitrarily shaped curve there is a charge which is uniformly distributed. The uniformly distributed charge is has a charge density linear charge density lambda. In principle this lambda could depend upon the position on that curve, but we have assumed that the charges are uniformly distributed. So, if you take a charge element or length element delta l along that curve then the amount of charge in that line element delta l is delta q which is equal to lambda times the length delta l. So, one defines the charge density lambda linear charge density lambda as limit of delta l going to 0 delta q by delta l. Now, remember that in principle this lambda could vary from point to point, but I have taken for simplicity that lambda is a constant this is not implied by this definition. Now let us look at how does one express the electric field electric field due to a linear charge distribution. We have talked about superposition principle. Superposition principle says that if I have many charges then the electric field at a point due to collection of charges is equal to the sum of the electric field due to the constituent charges. Now if I have a continuous charge distribution the summation goes over to an integration. So, what I have is this if you refer to this picture this is some arbitrarily chosen origin the result does not depend upon origin. So, take for example, a small length element delta l this is the curve delta l along the curve the amount of charge in this is given by this length element I am calling it delta l prime and the prime will be my index on the curve.  Now I am interested in calculating the electric field at a point p located at the position r. So, I connect this is the vector r i which means this gives me the vector position of point p with respect to the i th element length element and then I simply add up or in this case I do an integration add a 1 over 4 pi epsilon 0 lambda times d l prime lambda times d l prime is the amount of charge there that replaces thus q i in our earlier expression. And the strength of the field which is vector r minus r prime which is just the r i prime vector divided by r minus r i r prime cube and the integration is over the entire length there. Now remember that even if you take a small enough even if you take a small enough length there are literally very large number of charges there because the discrete charges that I have in a material are actually electrons which give rise to the electric field. But however whatever I am talking about should not be done at the atomic level because there are very few electrons and this continuous limit that I am talking about is obviously not applicable there. Now I can extend this I can extend this to a distribution of charge on a surface which is in two dimension. So, here I have given you shown you an irregular surface there is an irregular surface and there is a charge distributed there once again how do I define a surface charge density which I will indicate by sigma. So, what I do is I look at a small area element that small area element I will call it as d s i prime again because prime is the index which I am using for coordinates on the surface. So, if the amount of charge in that area element happens to be delta q then I define a surface charge density sigma as the limit of delta q by delta s as the surface element delta s goes to 0. So, the total charge would be integration of sigma d s over the entire surface. Now to find the electric field due to such a surface at a point p which is located at the position vector r is exactly we proceed the same way. Suppose this element d s i is located at this position here position some r prime. Now what I am interested is this vector and. So, therefore, the field at this point is given by there is a small error in the expression for the electric field given in this slide. So, let me write it down the electric field at the position r is given by 1 over 4 pi epsilon 0 integral over the surface. Now sigma which in principle could depend upon the position r prime d s prime. So, that is your charge element and the electric field we know varies as inverse square.  So, this is the surface charge distribution. What about the volume charges? Now once again the volume charges are this. So, this is a rho d v I take a small volume element d v and the once again I am interested in calculating the field at the point p. So, therefore, the amount of charge that is contained in this is rho d v prime d v prime is the volume element there.  So, that gives me the electric field due to what I call as the volume charge distribution. The volume charge density rho is defined as limit of delta v going to 0 delta q by delta v where delta q is the amount of charge that is contained in that volume element. So, the total charge q is you have to integrate over that entire volume is integral of rho d v. Let me illustrate some of this with couple of examples of calculating the electric field. I have taken a line charge of length l and I have sort of placed it such that the origin is taken at the center. It is a simple line and I am interested in calculating what is the field electric field at the point x y point p which whose coordinates are x y the line is along the x direction and of course, the y axis is perpendicular to it. . So, let us look at this how does one do this? Consider a charge element at a distance x prime and or having a length d x prime. Now, what I do is this that this red arrow indicates the direction of the force at the point p the electric field at the point p due to the charges contained in this element d x prime which is of course, lambda times d x prime. Now, what is this distance r prime?  So, x and y are fixed whereas, this x prime will change depending upon where I am taking this length element d x prime. Now, and the vector r prime is given by x minus x prime i plus y j. So, therefore, the field at the point x y due to such an element d x prime which is located at x prime 0 0 is the y coordinate is simply given by our familiar expression which is 1 over 4 pi epsilon 0. The amount of charge that is contained in d x prime namely lambda d x prime at distance cube remember the square of the distance was x minus x prime whole square plus y square. So, distance cube is x minus x prime whole square plus y square raise to the power 3 by 2 times the position vector here that is x minus x prime i plus y j. Now, so what I have done here is to write down the x and the y component of this electric field that is simply writing this term and this term separate. Now, for an arbitrary position x y this integration cannot be done in a closed form and one normally you can however, go to computer and sort of plot what are the e x and e y. However, let us look at a particularly important case let us look at an infinite charge. Now, if I have an infinite charge the instead of the wire being located from minus l by 2 to plus l by 2 it is from minus infinity to plus infinity in this limit these integrals which we talked about here look at the e x prime integral e x the e x. So, if it is from minus l by 2 to plus l by 2 this is a difficult integral. Now, suppose it is from minus infinity to plus infinity I can reduce this integration very simply by replacing x minus x prime with some other variable let us say z then the integral that I get is this that suppose I say x minus x prime is equal to z then d x prime is minus d z. So, this integral becomes integral z d z z square plus y square to the power 3 by 2 from minus infinity to plus infinity and this integral is 0 because this is an odd integral and. However, so therefore, the x component vanishes the y component. However, does not vanish remember that the y component was the. So, go back a little bit y component is given by this if you have the same substitution x minus x prime equal to z you get y d z by z square plus y square this is what I have written down here to the power 3 by 2 this integral you can do this integral you can do very easily. So, by substituting z is equal to y tan theta. So, e y is equal to lambda by 4 pi epsilon 0 integral from minus infinity to plus infinity y d z. So, y is of course, a fixed coordinate. So, I cannot change it d z. So, therefore, if z is equal to y tan theta d z becomes y sec square theta d theta. So, let us write down d z is another y. So, that gives me y square sec square theta d theta divided by I have got z square plus y square and z is y tan theta. So, I get y square into 1 plus tan square theta inside. So, what I get is y cube 1 plus tan square theta is sec square theta. So, I get sec cube theta. So, therefore, what I get here is lambda by 4 pi epsilon 0 and I got a 1 over y there an integral of 1 over sec cube theta which is cos theta d theta. Now, notice that I said z is equal to y tan theta. So, if z is going from minus infinity to plus infinity then my tan theta must go from minus pi by 2 to plus pi by 2 an integral of cos theta d theta sin theta which if I put the limit I get 2 from this integration. So, I will be left with lambda over 2 pi epsilon 0 y. This is the electric field due to a an infinite line charge. As a second example let us look at the field on the axis of a charged ring. This is the ring of radius r the ring of radius r this distance I am looking at the field along the axis which I have taken as the x axis. The point p is at a distance x which is a fixed distance from the origin and this is where I am interested in calculating the field. Now, let us look at what happened this incidentally is cuts the x y plane perpendicular to that. So, if I now take again as we did earlier a length element here ignore the width that is shown that is shown for clarity. If I take a length element here then this is at a distance r and the field at the point p is along this the direction is shown by this red arrow. This distance is equal to for any element is equal to square root of x square plus r square and let us suppose this is at an angle theta this element is at an angle theta with respect to the geometry that has been shown. Now, this is the direction of the electric field due to this charge element and I can resolve it into an x component and a y component. Now, notice the direction of the field d e is along the line joining the element to the point p and the magnitude is 1 over 4 pi epsilon 0 lambda d l which is the charge x square plus r square. Now, remember all the elements because this is a circle which is perpendicular to the x y plane I mean which is cutting the x y plane perpendicular to the x axis x axis is the axis of that ring. So, all the elements are located at the same distance from the point p and that distance is square root of x square plus y square. So, what I get now is the x. So, this is the direction and if this angle is theta if this angle is theta then the x component of the field is d e cosine theta and the y component of the field is d e sin theta. So, this is what I have written down lambda d l by x square plus r square this is this is a constant because x is a fixed number r is the radius cosine theta. So, now if you look at what is cosine theta? So, cosine theta is nothing but x divided by this distance again. So, therefore, what I get is 1 over 4 pi epsilon 0 x by x square plus r square to the power 3 by 2 lambda d l. Now, all these numbers here are constant they do not depend upon what is the position of d l. So, if you now have to integrate I am talking about x component at the moment if you now integrate all those being constant come out and you have to integrate over the length d l which is obviously equal to 2 pi r the circumference. So, the x component that you get of the electric field is q by 4 pi epsilon 0 x by x square plus r square to the power 3 by 2. What happened to the y component? Look at this that while the x component added up while the x component added up the y component will cancel because from symmetrically placed element supposing I look at this section the force will be directed like this. If it is directed like this the x component will still be along the x axis, but the y component will be in the reverse direction. So, the y component of the electric field cancels by symmetry and the field is directed along the axis. So, therefore, the electric field due to a charged ring on its axis is given by q by 4 pi epsilon 0 x divided by x square plus r square to the power 3 by 2. There is an interesting consequence thereof supposing the distance at which you are interested in measuring the field is much larger than the radius what would you expect? See if you go far far away a small ring looks to you like a point charge. So, we must get back in this limit the electric field due to point charge and you can see what actually happens. Say if x is much larger than r then I can neglect this r square in the denominator and x square to the power 3 by 2 will give me x cube and I am left with x by x cube which is simply equal to 1 over x square which is nothing but my Coulomb's law. So, we have been talking about the electric field due to point charge to begin with. A distribution of point charges at discrete points we talked about superposition principle. Let us recall back the vector field concept which we had discussed a few lectures back. Supposing I have a point charge positive charge look at this picture. Now, your field electric field due to a positive charge remember my test charge is always taken as positive. So, a test charge will be repelled in this field and the closer the test charge comes to the source charge which is positive here stronger will be the electric field. Now, clearly since it is a point charge I expect a perfect symmetry between the forces. So, this is the way the electric lines of force the vector field looks like for a positive charge. Reverse is the situation for the negative charge because they should all point towards the charge. What happens if I have a positive charge and a negative charge the lines of force must start the forces directed such that the lines of force are those where if you put a test charge there it experiences a force along the tangent and it must get away from a positive charge go towards a negative charge. So, that was the force lines of force due to a positive and a negative charge and if I have two positive charges it will repel and. So, therefore, you notice that the now two lines of force can never intersect because at the point of intersection then the field will be ill defined. So, what we have done today what we have done today is to discuss the concept of an electric field next time we will be discussing the nature of the electric field and talk about concept such as potential and consequences thereof.


Khan has a question about Word. We've not handled Microsoft Word in a while. So a Microsoft Word document has content and a signature part in it, and when the user uploads this doc to SharePoint, then the signature part disappears when viewing the document from SharePoint. Please help to fix this issue. Yeah, there's probably a couple of things in that. First of all, is it a docx format? So is it a current file format? Because otherwise it's not web compatible. And then some of those extra web parts like headers and footers and building blocks and things like that aren't visible in the web. So they mean how to download the file and edit it from there. Those are my two thoughts. Yeah, I'd back that up. I do see. I mean, anything that's got a header and footer, it will always drop off when it goes to online. It can also come down sometimes to fonts as well, because we've got different fonts like that whole sans-serif font, certain fonts might actually drop off if they've got fancy fonts. Sometimes if it's a picture too, if they've got a like a picture, a graphics kind of thing rather than actual type text, we have building blocks. Look, sometimes they work sometimes because it's kind of sits into the macro side of things. As you said, yeah, there's can be a combination of things going on. Also, if you change the formatting. So if you go in and are formatting things and changing the level of content, or you change things around and you reformat it using the standard format template components, then that can also suddenly wipe it out. I've found that to happen. One other idea of something that it could be, if you have it actually not as a signature block, but have it for some reason, labeled as something other than that. If it doesn't know that it's a signature, so it will not treat it the same. So I know that sounds weird and I'm not describing it right. But again, I'm thinking of where I've had problems with a disappearing signature in the past. Fields as well. Sometimes if it's set up as a merged field from somewhere could be another component too. Trying to think where else I've seen. I mean, as Sherry said, you can always just go file, open it and take it down to your full desktop version and see if everything's in there and investigate it through that. So you might see what is it first as to why it's actually disappearing on you. That's always fun to do too, just because it might just suddenly appear there and why does it look different than when it's in SharePoint than when it's opened up locally. I don't know. Sometimes it happens. There might be ways to mitigate that too if they're uploading it to SharePoint and it's a library that consistently holds these types of documents. It might be better to set the default setting for the library to open it natively instead of in the web first. That way people don't get confused because if you don't, the default is to open in a browser, and then pieces and parts are missing. So maybe it's a change. Well, I think we're all skirting around the real solution of this is that, excuse me, but I never had this problem with faxes. I think the solution might be an e-fax. Tell it. Tell it. I had the tie-prider with the carbon copy all the way back where we didn't even have liquid paper back in the day. So I mean, we could. If you mess it up, you have to start over again. Yeah. Laugh if you will, but I still have a USB connected 56k fax motor in my bag that I can plug in. You just never know when you'll need that. I just, I know what it's like. You'd be surprised how many people these days you want something from a doctor's office send fax. You get it in the legal community, send the fax. Anything like that. I'm telling you, when World War III happens, fax will become suddenly essential to send around to communicate in a secret way, you know.  That's right, and my Zoom will be there as well. Zoom and fax. Well, what can I say? They tell you the cockroaches will eventually inherit the earth. I guarantee you, they'll be sending faxes to each other. That's right. Get those opposable thumbs working, guys. Absolutely. Wow. OK. A fax and a Zoom reference. That's good. That's classic. That's that's good.


Now the Max Frick they go and Cabera out in front, certainly looking very, very handy indeed, they all bunch up the Lambert now coming charging through in the second place. Certainly superb ride for him, Max Frick now coming through in the third place, but Robert Lambert's got speed to burn in second place. Now a big move from Robert Lambert and he's going to watch out now, he doesn't get caught on the outside of Cabera maybe. Two points will be better than putting in too much effort to get past him because Max Frick is just hanging around behind him, he will wait for any mistake from Lambert. Absolutely right, and it's Thompson's at the back, there's a disappointment for Denmark but out in front with a left to go, Robert Cabera out in front. Robert Lambert certainly pushing on there in second place, look at him now beginning to run the outside line. One last chance for Lambert round the outside of Cabera, can he do it? He's coming on strong and wants a ride from...


Hi everybody, happy Tuesday. I'm Joe for jaspyscasebreaks.com with a quick little 2016 Donners Optic Football Hanger Box Break, random team break number eight, in which we are given away four NFL mixer spots, which should be a lot of fun. But we're going to do the break itself first. Big thanks to everyone here for getting in on the action. There are the teams right there, the break first, three times for names and teams. One, two, and three. After three, we got Lonnie down to Townsend. Three times for the teams, one, two, and three. We got Ravens down to Dolphins, and a different dice roll for the giveaway at the end of this break. This should be pretty quick. No trade windows in these filler breaks. And always be sure to check the break schedule, folks. That'll give you, usually, especially if I'm on air. I do my best to keep the filler info updated, like what we need to fill, what fillers we need to do to unlock a particular break. So check that on the break schedule, that's in the chat. All right. Big thanks, everyone, here. The rest of those teams right here, blah, blah, blah, blah, blah. Swort by Colm B. Let's print. Let's rip. There it is. 2016 edition right here. Aaron Rodgers on the front. All right. Let's see what we have here. New England-ish of Tom Brady. Ooh, and a rated rookie Dak Prescott. That's pretty nice. All right. So the Tom Brady hollow goes to Sean Maddock and the Patriots. You might see him back in the Super Bowl with the buccaneers. And here's a rated rookie Dak Prescott. That's pretty nice. That goes to Daniel Katz and Dallas. Not bad. Hopefully he comes back healthy. All right. Let's flip back to this list right here. Now, let's grab everyone's names from Fouad down to Oliver. Put them into this blank list right here. Let's roll it and randomize that list five into two. Lucky seven times. It's going to be top four after seven. Good luck. One, two, three, four, five, six, and seven in final time. Now from five on down to 32, sad times, you're not in the mixer. But here's the good news. The good news is that we have to do a few more of these filler breaks. So there are other opportunities if you want to try again on jaspyscasebreaks.com. Congrats to the top four. It's going to be Ben Colby, Townsend, and Brett Rogers. There you go. The four of you in that NFL mixer where you're chasing Aima Holmes, in addition to any of all the good stuff in the mixer itself. I'm Joe. I'll see you next time for the next one. Bye-bye.


Everybody this is Jared Carter senior HBCU digest radio joining you for the final sign-off and the final Appearance of mine or formal appearance of mine as the editor of the HBCU digest or education newsflash In case you haven't heard over the last week Didn't I recently joined the family at Howard University? Well, I'll be serving as the director of operation strategy and communications and part Of my time and tenure at Howard were require And only appropriate to appropriately so that I no longer serve as the face of an independent news operation And so I just wanted to drop a video To to let folks know who haven't heard that this is what's happening To specifically talk to everybody who's invested in and finds valuable the HBCU digest and education newsflash Over the better part of a decade And to thank some folks for the success that the digest has enjoyed and by way of that How my family has been able to benefit I'm gonna try to do this in one take without crying And I failed at that over the last couple days So we're gonna try to make it this time Part of part of the question that I've getting or I've gotten over the last couple days is why are you leaving? Why are you going to an institution when you've dedicated so much time to covering these institutions? And the reality is is that even five years in to the digest I realized that it wasn't responsible And it wasn't the best fit for the sector to have one person Serving as the primary beat writer so to speak of a hundred plus institutions two year and four year schools All throughout the United States different cultures different political spectrums Different areas that impacted these schools and really powerful Positive and negative ways and even though I attempted to do it. I never thought that it was it was fair Just for one person to do it even though I came up with the idea I never thought that it was it was reasonable or sustainable to do it that way So you need to know that this wasn't a snap decision Over the last month over the last year, you know the last five years This is something I've been thinking about for a while and to that point the first three people that I want to thank Imani Jackson Audemar net and dr. Crystal de Gregory These are three sisters Who wrote for the digest who believed in it? They landed their expertise their intelligence their charisma And their impact to the digest and helped it grow in immeasurable ways And without them the digest wouldn't have been able to to really Impact issues in the way that it needed to do so over these last ten years and they're foundational to that So I'm grateful to those two sisters for all of their hard work And their intentionality in supporting the digest in the various terms that they did The reason that the digest is able or was able to be successful Over the ten years I think is in large part because the HBCU community really quickly saw That I was trying to be serious That I wanted to cover HBCU's in more ways than just culture and marching band and nurturing environments And I wanted to talk about workforce development. I wanted to talk about finance and construction and federal policy and compliance and all the things that Comprised higher ed but from the historically black Context and I think that the way That I was able to do that is because first and foremost people invested in it And so I want to specifically think there's so many people that I have to think but I want to specifically think several people Tammy Thomas formerly of Boat State University, Yuri Milligan formerly of Hampton University, Sharon Saunders formerly of Florida A&M and Bennett, Yana Hernandez and North Carolina Central, Alanda Thomas, Famu Howard, Jackson State David Horwitt from Jackson State, Kansas Johnson at Prairie View A&M, Kelly Sharp, Tennessee State, Keisha Pickett at Bethune Cookman, Archie Tucker Alabama A&M, Stan Donaldson in Norfolk State, Edwina Hanby at Fisk, George Johnson from Oakwood and now at Claffey University, Melinda Spaulding in Texas Southern, Matt White at Hampton These are just some people who specifically from a public relations and marketing perspective believed in the digest continually And I don't mean that just through advertising. I mean that Through providing press releases and making people available for interviews. That's the currency with which the digest was able to operate That's the reason You know, I was able to interview on the record more HBC presidents than anybody in history And it's the reason I was able to break so much important news on research on policy on fundraising all of these things It's because of those those folks who oversaw the PR and the marketing function of the institutions and without them The digest wouldn't have existed even 10 years So I'm grateful to every one of them Along those lines the presidents of these institutions Have availed themselves to have really tough conversations to have honest conversations both on and off the record They were able to help me to think like a president And to write like a president and to to to approach this craft with a certain sobriety And a seriousness That even when I started when I was 29 They didn't they didn't allow, you know, my arrogance and brashness To get in the way of what they saw would be positive for the culture And so I'm grateful to folks like Harold Martin Chancellor North Carolina and T Paulette Diller at Shaw Ronald Mason formerly a Jackson state in southern now UDC Andrew Hugenie Alabama and M Michael Sorrell at Paul Quinn in Christopher Brown II formerly of all corn in Kentucky State McCulloch Dull at Virginia State Ryzen Cochartus Florida Memorial and now Benedict George G. French formula of miles now Clark Atlanta Roderick's mother's Atlanta Smith Quinn Ross at Alabama State Thomas Hudson at Jackson State Herman Felton formerly of Wilberforce now Wiley Do I warm act formulae at Harris Stoke? And now at Claflin Azak Phaezon Now Edward Waters David Thomas at Morehouse James Hildre And my Harry medical Jamon Adams gas in Norfolk State Glenda Glover at Tennessee State Bay and New Kirk at Fist Leslie Pollard at Oakwood Ernest McNeely at Allen formerly of Stillman these presidents Made it a priority for the HBCU digest to be a part of Their news coverage and the way that they wanted the word to get out about their schools And he had very honest conversations with me About things they often didn't want to talk about And so I'm so grateful that presidents Saw that what the digest was trying to do and really Turned the tide on HBCU coverage by making themselves available To me and to the digest and by way of that to the HBCU community I'm just in debt But because of the way they believed in me, so thank you brothers and sisters for that Also critical to the digest success in the way that I Tried to think about policy and read through, you know countless hours of policy documents and coverage local coverage all over the country A lot of folks don't know on our on a daily basis. I would read 30 40 newspapers Even those that didn't have HBCU coverage in them just to try to get an understanding of how states and counties and regions were looking at higher education and Their way that I was raised to do that is because of some really impactful former presidents Who were serving or begun serving when I started to digest or during the course of my work with the digest Are now not In official presidential capacities, but still very much Giants in the culture.  Obviously because of the sitting presidents too But the former presidents were really on my behind And really took time to help me understand nuance about things like accreditation Interface with lawmakers And just really schooled me to think of our sector even in a more dynamic way Also can't forget on my romangum You know Just so much that they poured into me And at the risk of not melting down and crying like I have over the last couple of days Just leave it there that those are dynamic people Really working and and save this culture from itself a lot of times I'm also grateful to a Lot of the content creators With whom I came up Eric Moore was a at onydan.com Was a great influence on any dance sports. A lot of people don't know that started out as HBCU sports blog calm And in January of 2010 shifted to HBCU digest calm and along the way Met some really great brothers Steven gate there of HBCU game day Tyler me Tali car Also of HBCU game day William Foster at HBCU money These were the peers that I always tried to keep pace with because they were they were so good and are so good at What they do in covering HBCU athletics and finance and so I Just thank you. Thank you brothers for the example And and for the competition and I hope I was able to keep pace Because you guys are out of this world and doing the service of great and doing the sector a great justice And then there are some folks who were just Kind of God tier in my life in changing the direction of the digest Just in powerful ways Jelani Zarif Who helped me come up with HBCU voices of STEM excellence, which was a a Interview series where we highlighted brothers and sisters at PhD levels of research across all different kinds of sciences that really broke the mold And it will continue to break the mold. Hopefully my brother Jelani will continue on his hopes Hopefully after I'm gone And that is something that was groundbreaking. It's particularly to showcase black women In in natural applied and medical science. That was just something that has never been seen before From a first-person perspective of these brothers and sisters explaining How did they get from somewhere like Jackson, Mississippi to Johns Hopkins University or how do you become the first? you know black woman astrophysicist On a PhD astrophysicist from Norfolk state. These are the kind of stories that we told And Jelani was was key and is key to that So thank you brother for your your kind words nick Perkins You guys know this brother. He's from Fayetteville State and Howard University He's not an owner of flood records, but before that he was Perkins management service company ink And he was one of the first investors in the HBCU digest and There would be no digest. There would be no HBCU awards without him And so nick, uh, you know that you're one of About six or seven cues On the earth that I just adore. Um, and I appreciate you brother And you know that and I try to tell you every time I think about it Um, and I hope you know that so thank you, uh, Johnny Taylor Uh the former president and CEO of Durga Marshall College one Just an extraordinary uh advocate on behalf of the HBCU even when I I got in trouble He would be the first to try to bail me out of it with people I mean as high up as the White House and as low down as as you know A dean at a campus He schooled me You know, he protected me in a lot of ways And he's always supported me. So attorney Taylor brother. Um, I love you and I appreciate you, man. Um Bill Harvey at Hampton president Hampton Um for his wise words, this is another part of that that that omega sci-fi contingency um For which I'm grateful. Um Just thank you for everything.  I don't I don't know how else to put it And then Earl S Richardson, uh, the president emeritus of Morgan State University Who was my president um as a student and as an employee at Morgan Just just an absolute Genius and savant At leadership and advocacy and so much of what I know I learned from him While I was a student And I'm forever his student. And so Doc brother, um, thank you. I love you and I you don't know. Uh, how much you mean Uh to me and my family um And then obviously, you know, my my um immediate family my parents Herman and Evelyn Uh, Bobby and Iris Harris my my I can't even call them in-laws. They're like my second set of parents my second mom and dad My brothers and my sisters Uh, Jason and Jamila, uh, Steve and Erica Um for all their support and cheerleading. Um Thank you, um immense amount of gratitude for you and then obviously, um My peach cobbler family Erin Baltimore. Thank you Uh for all of your support And then, um my wife and babies, uh, Dr. Lakita Carter, uh, Jared Jr. Landon Colton and Elise all of this And everything to follow. Um, it's for you guys and so Thank you, uh For allowing me to do this The way I wanted to do it I know there was a bunch of times where we were eating dinner. Um And uh, you know, I had a laptop with me trying to write stories. Um, there were a lot of late nights when I got started Kita that You wanted to throw the laptop out the window and you didn't um And you constantly would tell me how much you believed in me. Um And how much you cheered on what I was doing And that meant a lot when I didn't believe that what I was doing made a difference And so And I'm grateful to you and the little ones, uh for the constant drive in my life The constant love in my life Um, even when I thought I didn't deserve it um You guys made me a believer in myself and I believe that uh I was worthy of love In that way and in other ways. So thank you. Um Um So before I melt down people Ask what the future is Um, and right now I don't know and the last set of folks that uh, I want to thank uh, and to charge formally Are the folks uh from Dodgers at the dark.  Thank you um And I hope that you guys uh with me in some respects, um Without me in most respects we'll figure out a way to responsibly do this Most of all tiffany brockington um My sister Um, and i'm so proud of you Uh for what not only what you've done with the digest but what you've done In your career The tenacity with which you face Working with me And talking to me on a daily basis I appreciate you And i'm excited to see uh with the digest at the dark Project, uh, we'll do next um You have you guys in this video have heard me name a lot of black women And that is the final thing that I will say about the digest and where it should go It's one thing, uh, you know for me or anybody else to have an idea like this And it's another thing for the idea to effectively Work for the community It is only Fitting and appropriate that whatever direction the digest takes next um That it is intimately and holistically involving of black women Uh black women not just from the perspective that they need to be heard And that they lead our communities in so many ways Uh, but the numbers just make sense There are no hbcu's there are no hbcu communities. There is no hbcu philanthropy without black women And so to that point if there is to be a future of the hbcu digest and education newsflash It should be a black women or some black women in charge of it And so I am hopeful uh that I can play a role in more black women Uh being a part of the digest and being a part of the future direction and to Everyone who has ever invested a dollar In this project as a subscriber as an advertiser In any way I am Completely grateful for you um There are so many things to which or in which you can invest your resources your hard earned money And that you would choose The digest to be among those things Means more to me than you will ever know Um, and I hope that you continue your investment Even though I can't be a part of it I will always be a part of it In working to direct your investment To responsible writers and content creators and ideas that promote the survival and the growth of hbcu's So if you are watching this Please stay As a subscriber as an investor as a believer as a commenter Everything please stay Because the best is yet to come I may have started it I may have even done a good job at it But the better days are ahead And I hope you'll stick around to see him Um to everyone Thank you. Thank you. Thank you None of this Was me it was all you It was always about you And will always be about our success together um And for everybody who's glad to see me go You should know That Whoever replaces me Is going to be more thorough than I am so you shouldn't rest easy You shouldn't rest easy Because the work is just getting started Thank you again To doctors Wayne a frederick and tashney de brog at howard. Thank you for an amazing opportunity Um, I won't let you down Howard university community. I won't let you down I'm excited to join you And for the rest of the hbcu community um I'm looking forward to the fight with you In a different way But I'm looking forward to Being in the fight with you Thank you


Officials held the coming online of two powerful new supercomputers at the US Army Research Laboratory at Aberdeen Proving Ground, Maryland as they cut the ribbon January 31st in front of employees and guests. And the first thing I want to do is extend my thanks to the DSRC staff, both the government and the contract staff and HPE, the system builder, for getting the systems installed, tested and operational for the user community. The systems, dubbed Hellfire and Centennial, are upgrades for the lab's DOD Supercomputing Resource Center and are part of a modernization program to bring new capabilities to Army researchers. Centennial and Hellfire were required as part of an acquisition we call TI-16 technology insertion 2016. They represent the first systems required with an increased focus on full system scale performance. These massive room size computers deliver lightning fast processing speeds and the power necessary to run complex simulations and computations. The DOD High Performance Computing Modernization Program typically invests in supercomputing upgrades every two years. Officials earn a constant state of planning for the complex system upgrades. Brainerd said they prepare for the improvements more than a year before a new system is expected. The lab's military deputy, Colonel Kevin Ellison, and the senior enlisted advisor, Sergeant Major Keith Taylor, represented leadership at the ceremony and open house event at the Supercomputing Resource Center. The center has an outreach program to inform and educate users across the DOD about the capabilities and resources available with Army supercomputers. The Centennial system augments the center's Excalibur supercomputer and extends the total unclassified high performance computing capability to 8.2 petaflops. A petaflop is a measure of a computer's processing speed. One petaflop is a thousand trillion operations per second. From Aberdeen Proving Ground, Maryland, David McNally, ARL TV.


What's going on everybody it's Stas here welcome back to another video so in today's video we're going to be doing an overall market update taking a look at the Dow Jones the S&P 500 and the Nasdaq we're also going to be doing a trading update talking about what I personally did today in terms of my trades did I buy any stocks did I sell any stocks hint hint I bought some stocks guys well one stock today and you'll see what I bought here in a couple of minutes as I break it down here in this video I also want to share with you guys a couple of other stocks and ETFs that I'm watching right now and looking to trade here in the month of September in 2019 Apple stock ticker symbol AAPL being one of those stocks because I'm sure a lot of you guys know by now that this stock has been doing quite well over these past two days because we actually got news on what the new iPhone looks like it's available for pre-order right now the iPhone 11 the iPhone 11 pro and the iPhone 11 pro max I kind of want to jump in the safari tap very quickly with you guys take a look at these phones and kind of give you guys my opinion on apple stock here going forward so if you guys find value in this video if you enjoy the content find it helpful feel free to go down below and hit that like button it really supports me and supports the channel in general and consider subscribing if you want to see further content involving the stock market trading investing personal finance this is the channel for you so without further ado guys with about two minutes left in the markets let's get into it the s&p 500 here with again two minutes left is up $17 and 50 cents up 0.6 percent very strong day here for the s&p 500 today guys the dow Jones industrial average very strong day even better than the s&p up 190 points up 0.7 percent the nasdaq is up 63 points here up 0.82 doing the best out of the three major indexes that we track and that I talk about on this channel and you guys can see the nasdaq is doing the best because tech in general and apple in general is doing quite well right now right apples up 3% today it was up very I think it was up very very good amount yesterday too I think it was up like two three percent yesterday as well you know amazon's up a dollar that's really nothing for amazon facebook's up almost two bucks google's up 11 bucks you know these are definitely driving the nasdaq as of right now so going over here to the s&p 500 guys let's just break down some technicals because I did talk about scenarios yesterday and yesterday's video that could potentially play out today and one of those scenarios was that we were going to continue this uptrend and potentially test 2990 which was the resistance that we were trading under in yesterday's video in yesterday's session but today you guys can see that we clearly gapped up above 2990 and now we're making a push to the three thousand dollar level yet again for the s&p 500 and let me zoom in here to let's say the 90 day two hour charts you can see exactly where we're retreating over these past couple of days and what did I talk about in yesterday's video just a quick recap so the the trading range we're in right now that we're in is between 2950 and 2990 or at this point the trading range that we were in right and in yesterday's video there goes the markets I mentioned that we were either going to gap up potentially break out of this which would be very bullish which we did end up doing or we were going to sell off and maybe test 2960 again or maybe even test the support here which is a very critical support at around 2950 and you guys can clearly see that we didn't end up doing that right so the fact that we gapped up today we closed above 2990 and we can just we can see that we just closed above three thousand dollars that's very bullish for the s&p 500 guys that's extremely bullish so the fact that we closed above three thousand dollars right now let me show you guys that this is going to be the new level of support that we're going to need to hold now let me show you guys a bit closer on what I'm talking about here so 2990 this was the resistance right a resistance from July in the beginning of July in 2019 we broke above it right making it a new support once we broke below it it became a resistance and then we popped up to all-time highs again making it a support and then once we broke below it again we sold off in the month of August right it became a resistance again and now since we broke out of it this is a level that we're going to need to hold as a support roughly 2990 to about three thousand dollars and if we do end up holding this level as a support maybe consolidating for a couple of days this could be really the the launching pad up to the all-time highs on the s&p which are at three thousand twenty seven dollars and 98 cents right those are the all-time highs here on the s&p but one thing to notice um is that the rsi is a bit overbought really overbought at this point it's at about 72 and we all know at this point the closer and closer it gets to 70 the more and more overbought it gets and especially if it breaks above 70 that's very overbought so we might experience a bit of a pullback but this is perfect guys because if we do get the pullback that'll bring the rsi to a healthy spot and that'll give us the opportunity to retest 2990 as a new support and from there are we going to pop and if we pop from there break 3000 again this is going to be in my opinion again like i mentioned a couple of seconds ago the launching pad to the all-time high at three thousand twenty seven in my personal opinion but let's say we failed to hold 3000 we failed to hold 2990 we start to break down a bit rsi comes down let's say in the middle here whatever it may be we may be selling off a bit to either retest you know 2975 maybe 2960 maybe even 2950 guys which i know it's a bit um it's kind of a waste to go from where we are now it's about a 1.5 drop from where we are right now but again anything can happen and i'm watching the action here in the price pre-market and of course the futures right the es mini s and p futures in the mornings to see you know what direction could we potentially be headed for that day or regapping up or regapping down is it a big gap up of half a percent or more is it a big gap down of half a percent or more this is going to give me insights on where we could potentially be headed so as of now with the data we have with the price action we have very bullish on the s and p right again we broke 3000 that's a very good sign but watch out for the pullback we might be getting it here in the next couple of days maybe even tomorrow right so the dow Jones industrial average you guys can see it's very similar to the s and p right we're overbought on the rsi despite all this jazz here with all these trend lines you guys can see that we broke above 26600 very very strong resistance right we actually pulled down and retested it as a support and we popped right and we actually ended up breaking above the next resistance which was at around 26900 which is what we were talking about in yesterday's video so that's a very good sign that we actually broke that today so at this point you know what i want to see in the dow is a pull down and a retest at 26900 maybe even 27 000 flat to see if it's going to hold that level as a new support and just like the s and p you know if the s and p pulls down the rsi is going to come to a healthier spot same exact thing with the dow right if the dow pulls down the rsi is going to come down if we level out here this could be a launching pad up to the all-time highs at about 27 398 and as of right now guys we're literally right there in terms of all-time highs we're about 260 ish points away from all-time highs so let's say tomorrow we miraculously have a fantastic green day that's going to pump the dow straight to all-time highs and maybe even the s and p 500 as well so those are just the brief technicals here for the dow that i'm looking at nothing crazy you know if we're zooming in a bit to the 20 day one hour i know it's a lot of jazz here don't focus on this just focus on this green line here which is the 50 s and a notice how we pulled down yesterday we bounced on the 26600 level that i talked about or rather the 26700 that general area we held it as a support and then we broke out of 26900 like i mentioned right we may be pulling down now to also retest that 50 s and a here on the hourly chart and if we hold that that could be again a launching pad to these all-time highs but if we break the 50 s and a that's going to be a pretty bearish sign in my opinion and we may be selling off even further from there so overall right now these technicals are not really that hard to understand we're uptrending we're seeing higher highs higher lows moving averages are acting as supports on pretty much all of these time frames that i'm seeing but one thing is again the RSI is overbought so just keep an eye on that we might be seeing a little bit of a of a retracement here in these next couple of days so you guys can see the NASDAQ actually swung up to nearly a 1% close here which is very very good at the beginning of this video it was up 0.8% so the markets in general if we're just looking at the daily very quickly we can see very nice upswing here at the close and let's see if it's for the DAO as well of course it is and the s and p 500 same thing as well so very bullish close it kind of reminds me of yesterday's close that we kind of pulled down before the close and then power hour we ran up very similar situation today power hour we ran we ran up on pretty much all of these indexes right and the NASDAQ let's go to the 184 hour very quickly so we can break this down the NASDAQ's right now at a resistance this resistance we failed to break out of it in the beginning of this month between the fifth and i'd say maybe the ninth of this month in september in 2019 we pulled down and what i was mentioning in yesterday's video is that despite us getting rejected by this resistance we pulled down and we successfully held a higher or low on top of this 50 SMA on this four hour chart as well as on top of this old resistance as a new support at around 77 60 this is literally what we talked about in yesterday's video guys and it ended up playing out perfectly we popped above this old resistance as a new support as well as that 50 SMA and it seems like now we are retesting that level of resistance that we failed to get above in the beginning of this month as well as a couple of months ago back in the month of april end of april into the month of may in 2019 when we failed to break out of that level so in my opinion guys let me just let me just quickly bring this out for you guys so you can see here in my opinion if we break out of this level we hold it as a new support i think it's very possible that we continue this bull run up to 8 000 points here on the nasdaq futures and potentially even retest this all-time high at 8051 and in my opinion if apple runs up to 230 maybe 235 i saw a bunch of analysts actually i think it was morgan stanley one of them they raised their price target on apple to 245 250 i think one was at 260 even you know if if this drags up apples um stock price if the iphone released as well if we get you know the first earnings report which probably won't be the next one it might be the one after that that does include iphone sales you know if that does very well the nasdaq can definitely pump up into the 8 000 level maybe even above that here in terms of what we're looking at right here so those are just a couple of things to keep an eye on to just keep in your mind honestly from a technical perspective um in terms of the s and p the dow and the nasdaq so let me know down below in the comment section what do you guys think about the markets right now i'd love to know what do you think about apple stock let me know down below in the comment section i'm really interested in seeing and hearing what you guys have to think about that so let's just get into the trading portion of today's video guys um atnt is what i ended up taking a position in today and this is one that i ended up calling out in yesterday's video as well due to the positive catalyst that it did end up that it did end up having right and let me tell you guys what this catalyst was if you guys ended up missing yesterday's video or if you didn't really uh pay attention to atnt stock in general and i totally understand because atnt it's really not the most talked about stock out there it's not a hot stock out there so news around to atnt you might miss it unless you are unless you're invested in it which i personally am i kind of catch everything everything's on my radar in terms of the stocks that i'm invested in right but anyway we got news that a hedge fund ended up putting a 3.8 billion dollar stake i believe that's the number in atnt and they think the stock is extremely undervalued with the price target of 60 per share and whenever a big name hedge fund comes out guys publicly they put money into a stock this not all the time but sometimes it pumps optimism into that stock and it shoots the stock's price up and it causes short term maybe even long term but definitely in the short term it causes a bullish uh what's the word here bullish sentiment in the stock right and we can see atnt went from 36 per share up to 40 per share pre-market when we got that news then all of a sudden it sold off all the way down to about 36.60 right we ended up holding that 50 SMA support here at around 36.60 we didn't break that support which would have been bad we held it which it's been a support over these past couple of weeks so that's a very good sign then we ended up popping up after market and pre-market in the next day which was the 10th of September which was yesterday and then we ended up gapping up this morning as well right which is which ended up being the reason why I got into this stock and no joke I drew these trend lines in yesterday's video or before I filmed yesterday's video and it literally played out exactly not exactly to these trend lines but kind of the way I was thinking it was going to play out right we got the pull down we held we got another kind of mini pull down here before we ended up popping up in the overall trajectory ended up pointing up right and you can see what I'm saying here on a closer basis we gap down we ended up gapping up this morning and then we saw a pull down heading into the market open which is actually where I was watching AT&T for this swing trade entry right I wanted to see if the price was going to end up breaking moving averages which would have been bearish which would have been a sign for me not to get in or was it going to hold the moving averages was it going to hold either the 180 or the 50 and it ended up holding both and was it going to pop up which it ended up doing so once it did break up here guys you know from 38 dollars we were holding this level for about 30 minutes or something 30 minutes to an hour right pretty strong support at around 38 and then once we gapped up once we started to see the EMA crossing above the 50 SMA here on the 5 day 5 minute and we started to see that very kind of like a bullish flag here this is when I ended up getting into the position with a small really portion of what my total position is going to be here and this is kind of my swing trading strategy it's nothing magical it's nothing that you know it took me years and years to develop it's very simple right you scale into your positions it's either 10 percent 20 percent 30 percent of your goal position at once whatever it may be right me personally I'm going 20 25 percent a lot of the time into my positions and I add to them as they continue to go up so initially I put in some money here about 20 to 25 percent of my position at around 38 15 and now I've built a pretty nice buffer for myself because we did end up closing the day as you guys can see let me just quickly clear this that doesn't matter actually but we can see that we ended up closing the day at 38 dollars and 75 cents a 3 percent day in the green today right and we ended up holding the 50 SMA heading into the close which gives me incentive to hold this into the close to be completely honest with you guys and maybe even add more money tomorrow based on how these technicals are moving but I feel totally comfortable holding AT&T here as a swing trade and that's what I'm really doing at this point guys excuse me I'm in at 38 15 right now I'm up 1.2 percent in my position and first target sell at this point if we zoom out a bit three year one week you guys can see some resistances are coming up on AT&T we have that one at around 39 to 40 dollars which is where we gapped up a couple of days ago which is going to be the first level of resistance where I might shave off some profits right that's going to be right around here we have another one coming up at the low 40 level like 40 dollars and 80 cents 40 75 roughly there and we have another resistance at around 42 dollars and 50 cents which is this high roughly on this three year one week chart so there are some levels coming up here where AT&T might get rejected at and honestly we may not even get to those levels right just because this catalyst came out that's positive it's not 100 percent that the stock's going to fly up it's just an incentive for me to get in on this positive momentum and once I see it if I see it start to break trend that's where I'd take my profits or cut my losses right but as of now I just want to ride this momentum I want to ride this trend and that's what I'm just honestly doing guys so AT&T is what I'm in right now I'm sure a lot of you guys are wondering what are you doing with ATV stocks because you got into ATV yesterday and ATV did well this morning I had high hopes for it this morning but you guys can see we ended up closing pretty poorly today actually down a dollar 12 at the close down about 2 percent so like I said in yesterday's video guys ATV I want to give this one some wiggle room so I'm sticking to that I'm in at about 55 dollars and 10 cents in at about 55.15 something like that so I'm down in my position right now I'm down let's see on a percentage basis how much I'm down it's literally not even half a percent I bet I'm actually haven't even calculated it so you'll see my live reaction which probably won't be too amusing but I'm down about let's say close to half a percent like I guessed right about a half a percent down right now and I do want to give it a two percent stop loss that's what I'm currently working with so tomorrow is going to be a deciding factor in my opinion for ATV you know if we end up selling off even further I might just take a brief loss before looking for a reentry but then again like I said guys I want to give it some wiggle room so I'm kind of in this position where I want to be strict with my stop losses but again I kind of want to maybe see how it rides out for this next week but ideally you know ATV I want to end up holding this one like I said yesterday you know into the high 60 or not high 60s that would be ideal right high 50s like 59 60 that's the ideal point in time where I would sell ATV or rather the ideal price that I'd sell ATV right and that's going to be us getting closer to this resistance from really the October month of 2018 when we gap down all the way from 62 all the way down to about 54 so I'm looking at this as a level to sell but again we're fiddling with this resistance now ideally I'd like to see a break before I add more money and again I'm going to let this one ride most likely unless something dramatic happens drastic happens where it drops all the way down to 52 tomorrow which would be pretty bad honestly that would be bad because I'd be down like six percent five percent at that point at that point I'd probably cut my losses but um yeah that's just how it's going right now guys and and kind of I'm feeling a little bit more comfortable on ATV because I do have that AT&T position which I'm green on right now so it's kind of offsetting the loss I'm actually in the green if we're just looking at both positions because again I'm up like one percent on AT&T down about point five percent on ATV with the same amount of money in both so that's kind of what I'm doing right now guys ATV AT&T um no day trace today I was looking to hop into you guys but on the five day five minute like I mentioned in our chat today we failed to break out of the 180S may resistance right here I was looking for an entry point we popped up briefly but then but then we got rejected hardcore from there um you know if we were to do something like that I would have entered there for potential momentum breakout play we didn't get it and uh that's just honestly opening up a further opportunity in my opinion for you guys here over these next couple of days right if you're looking at the 20 day one hour chart you guys can see we're holding 20 bucks although we are breaking below the 50S may um it's kind of in a weird spot right if we hold 20 break out like this tomorrow that could be a gap fill up to 23 bucks if we break this level you know we start to go down to the 19s we may be going down to 18 dollars per share which hey that might open up an even better opportunity um especially as these winter months are rolling around when natural gas is typically bullish so I'm watching you guys guys just keep an eye on that that's kind of like a mini breakdown on this stock but I want to get into the Apple iPhones very quickly because that is what's pushing up the stock right now in the services business as well we have Apple Arcade I believe it's called it's coming in at 4.99 per month we have Apple TV rolling out here soon we have Apple News all of these services and uh really just the iPhone is is just pumping up the sales right now not the sales of the stock of Apple right and just taking a look at these iPhones very quickly like I said in the beginning of the video we have the iPhone 11 Pro the iPhone 11 Pro Max and we have the iPhone 11 right and the interesting thing about these is the price point look at these price points guys starting at $700 iPhone 11 that's pretty good right the price of the iPhone Pro Max the 11 Pro Max is at about 10 uh 100 here at about $1,100 that's pretty good and the iPhone 11 Pro is at around $1,000 so in terms of the previous iPhone release I feel like these prices are right in line and obviously the features have gone up a bit we see the cameras here there's three cameras on the pro and the pro max but there's only two here on the iPhone 11 and if we're going down to see what these cameras are because when I first saw this I was like wait a second why is there three cameras here why is there three lenses that's really weird well you guys can see this one is a triple 12 megapixel ultra wide we have a wide and we have a telephoto camera with night mode so all of these are different right and the iPhone pro max has the same thing the iPhone 11 only has two which is the dual uh 12 megapixel ultra wide and wide cameras with night mode right and just going down here he says the uh the battery lasts four hours longer which if you guys have had iPhones you know the battery is great for the first year two years then all of a sudden out of nowhere coincidentally the battery starts to die in half a day right I'm on I still have my iPhone 8 here um I think it's the 8 plus whatever it may be the battery was great the first year two years I've had it but now I feel like I have to charge it every couple of hours because the battery is going like this I swear Apple has like a system where they just like switch it on and your battery dies like five times quicker just so you get the the new iPhone I'm sure it's not like that but that's kind of what runs through my head sometimes I'm thinking like wow this phone just starts dying out of nowhere so quickly it's kind of funny but anyway 64 gigs 256 512 nothing crazy there and uh that's really just the main specs I wanted to go over splash water and dust resistant up to four meters two meters for the iPhone 11 and yeah guys that's a lot of the the main specs here on the iPhone without boring you the main thing again is those three phones or the three cameras rather in my personal opinion which I think it's pretty cool right it's pretty cool especially if you're using your phone for for photography for maybe shooting youtube videos you know filming videos whatever it may be so going over to apple stock guys ticker symbol aapl you guys can see this stock has been doing quite well I think yesterday is when these phones got revealed and yesterday the stock was at $213 we've seen a $10 pop since then that's about a four to five percent move in the stock which is very very very good and on a technical basis here we're actually getting very bullish on apple guys very very bullish you guys can see you know if we just draw out some uh resistance levels here with the breakout today you know apple stock is at a point where we broke out of that 215 the 220 level of resistance now we're getting to a point where we're testing those highs that we haven't been at here in a while right we're getting closer to that 233 all-time high that we hit back in what month was this back in October September of 2018 about a year ago so this could be the point where we may be filling the gap up to 233 here on this positive news regarding the iphone not really positive but just the initial hype of the release of this iphone 11 right and in my opinion guys it's all about iphone's cycles in a sense when it comes to people buying iphone sometimes certain cycles like the iphone 8 for example i don't know if this is correct i don't know which one did poorly i'm forgetting off the top of my head now but some people buy an iphone 8 they skip the next one and then they buy the next cycle so it's pretty much like buying every other cycle because not everyone wants to buy a new phone every single year for a thousand dollars so this could be that cycle where a lot of people start buying the iphone again right start buying a new iphone if they didn't get the the previous model let's say they're still rocking the older one like me iphone 8 they may be like oh wow iphone 11 this is time for me to upgrade my phone am i going to do that no because i have a perfectly working iphone 8 i rather put that money in the stock market but the average consumer probably would upgrade their phone which that would boost up the sales heavily for the iphone's in general more revenues more profit for apple hence a higher stock price so at this point if this is the cycle that people start buying heavily this could end up popping up the stock which in my opinion is important to watch this stock for that reason over these next couple of weeks next couple of months as we start to see how these iphone's are selling we start to see the numbers in the reports right in the quarterly reports i don't know if it's going to be this quarter the next quarter whichever quarter it may be that does have the new iphone sales i'm interested in seeing that so on a technical basis again now we're trading between 215 and the all-time high at 233 so watch this level at 220 um you know 220 215 watch for a pullback and a potential retest on this 50 sma this could be a beautiful entry point on apple right for a swing trade for a day trade whatever it may be right this could just be a great great entry point and honestly guys we may be getting that pullback once this initial hype ends up phasing out we may get the rsi back down to a healthy area which would be another incentive to get in because right now the rsi it's a bit overbought it's kind of scary it's daunting looking at that rsi which is why i'm not really getting into apple quite yet i rather have my money in atvi at v right now and atnt ticker symbol t but if apple does get to that right point honestly guys i'm going to pull the trigger and uh hop into it so for this video guys that's pretty much it right the main stocks i wanted to get across to you guys today were apple atnt and at v because those are what i'm really watching heavily right now and two of those i have my money tied into it so you know i'm watching those heavily because i'm actively involved with them and you guys on on the etf side here you guys is very very um it's very volatile obviously and it's offering a good opportunity on this pullback if we get the confirmation of the support of the bounce and for the reversal to the upside you know that would be a very good um really uh a scenario to get into you guys if we do get all of those steps um before before uh getting into it right that that we need to see before getting into it so that's it for this video guys right if you enjoyed it feel free to go down below hit the like button consider subscribing if you want to see further content for me drop a comment let me know what you guys did today in the markets what are your thoughts on the apple phone um what are your thoughts on apple in general the markets in general i would love to know and quick um uh quick announcement here channel announcement for those of you guys that stuck till the end i actually ended up getting the camera today a couple of months ago i announced how i'm revamping my my home studio if you want to call it here with kind of a new setup to film videos and i got this canon m50 guys i spent six hundred dollars on this camera more like seven hundred dollars with the uh with the sd card and everything and i haven't spent this much on a camera ever right so i'm really looking to revamp the quality here um on this channel i have a tripod sitting right behind my computer right now so other than these screen videos of the charts like you guys have been seeing from now and then i want to have some more videos of me sitting down at my desk maybe with the cool background cool led lights whatever it may be to start filming some more topic videos broad videos stock market uh investing for beginners trading for beginners tip videos whatever it may be you know vlog style whatever it may be right i just want to revamp the quality of a lot of those sit down videos so yeah just figured out i'll let you guys know for sticking to the end here expect some videos coming very soon with this beautiful beautiful camera and guys the quality is insane right just quickly again on a side tangent i was filming on this iphone the quality compared to the iphone is insane this is so much better it makes the iphone look like a blackberry right a blackberry from 2008 it's pretty crazy so anyway i hope you guys enjoyed the video uh i'll catch you all in the next one i appreciate all you guys watching especially if you stayed till the end you guys are awesome so i'll catch you guys uh peace out


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What does a ball drop from height, a ball rolling down an inclined plane and a box which is being pushed to the right moving with an increasing velocity on a rough surface, what do these three have in common? Turns out each one of these they represent a motion with constant acceleration. For the first case, there is a constant acceleration which is acceleration due to gravity. There is a G which acts on the ball at all the points and as a result of which the speed with which the ball falls it increases. So at the beginning there is no speed but it increases somewhat over here then it increases some more then it increases even more as it keeps on falling. For this fun when the ball is rolling down an inclined plane, there is still gravity acting on the ball and we will learn how to resolve this vector of gravity into a horizontal and a vertical component and then we will see how there is still one constant acceleration which is acting on the ball and because of which it is then coming down it is then moving moving with an increasing velocity and for this case if the block is moving to the right with an increasing velocity and this is a rough surface we will see that there is there will be a frictional force that will act on the block on the left side there will be a frictional force that will act on the left side and then this person is pushing the box to the right with a force of F and we will see that if a block moves to the right with an increasing velocity which means there is an acceleration to the right there is an there is an acceleration to the right and we will see that whenever there is some net force acting on an object so whenever F is greater than the frictional force the block will move to the right with an increasing velocity or a constant acceleration in all of these three cases the acceleration is constant and turns out that's why we study motion with constant acceleration not just motion with constant velocity because in the case of free fall or a ball rolling down the inclined plane or a very usual situation of someone pushing the box on a rough surface and the speed of the box constantly increasing in all of these cases the only thing that is constant is the acceleration with which these objects are moving and motion with constant acceleration is even seen if there's a car moving moving on this road and it suddenly applies a break because of because it does not want to collide with some other car or does not want to get into an accident when it suddenly applies breaks it comes to a stop and then it leaves it leaves these skid marks it leaves these skid marks but unfortunately still if the car does get into a crash investigators can actually tell how fast the car was moving to begin with and this is again a case of motion with constant acceleration because when you apply the brake the frictional force between the road and the tire it's it acts in the opposite direction which provides a constant acceleration in the opposite direction so this is again a case of motion with constant acceleration and turns out there will be many more cases where the acceleration is constant where the velocity could be increasing or decreasing if depending on whether the acceleration is in the same direction of the velocity vector or in the opposite direction and we will try and analyze such cases we will come with kinematic equations that will help us predict many variables associated with the motion of an object