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A factory receives power at 480 Vrms @ 60 Hz. from the electric utility company. The factory’s electrical load can be simply represented by 2 loads. LOAD1 describes the manufacturing equipment on the assembly line. LOAD2 describes the power used in office rooms. From time to time, the assembly line shuts down thereby removing LOAD1 from the grid. SWITCH1 accounts for this effect in the equivalent circuit model shown above. Note that the 2 dependent sources represent a device called a “transformer” that steps the 480 Vrms down to 120 Vrms for use in the offices. (But don’t take my word for it; circuit analysis calculations will confirm this.)Given:Receiving End Voltage (with SWITCH1 closed): RV = 480 VrmsWiring parameters: RW = 0.005 Ω, LW = 0.52052 mHLOAD1 = 400 kVA @ pf = 0.7 laggingLOAD2 = 10 Kw @ Unity pf Find:

a) With SWITCH1 closed, find the value of C (in Farads) so that the total LOADt at the Receiving End has unity pf. Find the magnitude of the Sending End Voltage SV , and the magnitude of the “Office” load voltage, 2V.

b) With SWITCH1 open, using the value of C and SV found in part a), find the new values of the magnitudes of the Receiving End Voltage RV and Office Voltage 2V. Will this be a problem? Why or why not?

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