31. Alternating Current
RMS Current and Voltage
3:35 minutes
Problem 32a
Textbook Question
Textbook QuestionCommercial electricity is generated and transmitted as three-phase electricity. Instead of a single emf, three separate wires carry currents for the emfs ε₁=ε₀ cos ωt, ε₂=ε₀ cos(ωt +120°), and ε₃=ε₀ cos(ωt−120°) over three parallel wires, each of which supplies one-third of the power. This is why the long-distance transmission lines you see in the countryside have three wires. Suppose the transmission lines into a city supply a total of 450 MW of electric power, a realistic value. a. What would be the rms current in each wire if the transmission voltage were ε₀=120 V rms?
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