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Question: A three-phase synchronous generator is connected to a step-up transformer T1, which is connected to a 60km long transmission line. As the far end of the line, a step-down transformer bank T2 is connected. The secondary of T2 supplies two loads L1 & L2.The ratings for the various parts of the system are as follows:Generator 10 MVA, 12kV, X = 20%, star connectedT15 MVA, 12/69 kV, X = 10%T25 MVA, 69/4.16 kV, X=10%L12000 kVA at 0.8 pf laggingL21000 kVA at 0.75 pf laggingTransmission LineX = 0.5 W/km (R is negligible)[a.] Draw the per-phase equivalent circuit of the power system showing all reactance in per unit & show the base voltages used at various parts of the network. Use 10 MVA & 12 kV as base quantities in the generator circuit.[b.] If the voltage on the load bus bar must be maintained at 4.16 kV, find the required excitation on the generator.[c.] For this excitation, determine the short circuit current (in amperes) when a three-phase fault occurs on the secondary winding of transformer T2.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
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