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An AC generator has an output rms voltage of 80 V at a frequency of 58 Hz. If th

ID: 1505387 • Letter: A

Question

An AC generator has an output rms voltage of 80 V at a frequency of 58 Hz. If the generator is connected across a 30 mH inductor, find the following. (a) inductive reactance Incorrect: Your answer is incorrect. . Your response differs from the correct answer by more than 10%. Double check your calculations. (b) rms current Incorrect: Your answer is incorrect. . Your response differs from the correct answer by more than 100%. A (c) maximum current in the circuit Incorrect: Your answer is incorrect. . Your response differs from the correct answer by more than 100%. A

Explanation / Answer

f =58 Hz

a)
XL = 2*pi*f*L
= 2*pi*58*(30*10^-3)
= 10.933 ohm
Answer: 10.933 ohm

b)
Irms = Vrms/XL
= 80/10.933
= 7.32 A
Answer: 7.32 A

c)
Imax = sqrt(2) * Irms
= sqrt(2) * 7.32
= 10.35 A
Answer: 10.35 A

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