When solving the Laplace equation in a coordinate system with this geometry, the solution is most generally a sum over Bessel functions in r times complex exponentials in the other two coordinates.
If a conducting object with this geometry is placed in a uniform electric field of strength E, then its surface charge distribution will be 2 epsilonÂ­naught times E sin theta. When solving the Laplace equation in a coordinate system with this geometry, the solution is most generally a sum over Bessel functions in r times complex exponentials in the other two coordinates. To integrate in that 3D coordinate system, we multiplyour integrand by the determinant of the Jacobian matrix, which is just (*) r. When visualizing protein structure, alpha helices are often represented by these structures. For an infinite charge distribution with this geometry, the electric field outside the distribution decays as oneÂ­overÂ­r, instead of oneÂ­overÂ­r squared. The coordinate systemwith this geometry describes each point by the polar r and theta, and a height z. For 10 points, name this geometry, which describes surfaces that are equidistant from a given axis, with volume pi rÂ­squared times h.
If a conducting object with this geometry is placed in a uniform electric field of strength E, then its surface charge distribution will be 2 epsilonÂ­naught times E sin theta.
cylinder [accept cylindrical]