An AC power generator produces 60.64 A (rms)at 2195 V.The voltage is stepped up to 104,222 V by an ideal transformer,and the energy transmitted through a long-distance power line with a total resistance of 100 Ω.What is the rms current in the long-distance line?
A) 2879 A
B) 1.28 A
C) 60.64 A
D) 8.80 A
E) 417.9 A

Question

An AC power generator produces 60.64 A (rms)at 2195 V.The voltage is stepped up to 104,222 V by an ideal transformer,and the energy transmitted through a long-distance power line with a total resistance of 100 Ω.What is the rms current in the long-distance line?
A) 2879 A
B) 1.28 A
C) 60.64 A
D) 8.80 A
E) ​417.9 A

Quizplus · Accepted Answer

The power is conserved in an ideal transformer, so the power on the primary side (P_primary = V_primary * I_primary) equals the power on the secondary side (P_secondary = V_secondary * I_secondary). Solving for I_secondary gives I_secondary = (V_primary * I_primary) / V_secondary = (2195 V * 60.64 A) / 104,222 V = 1.28 A.

An AC Power Generator Produces 60