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The sinusoidal voltage output from the AC generator oscillates between 500 V and

ID: 1428741 • Letter: T

Question

The sinusoidal voltage output from the AC generator oscillates between 500 V and -500 V. The circuit for an ideal transformer is constructed with a generator, transformer and a 30 ? resistor . The generator makes 4 loops with the transformer and the resistor makes 8 loops with the transformer (the figure does not show these loops accurately). What is the maximum voltage across the resistor R ?

V=

What is the average power dissipated in R?

P =

R=30 generator Ideal Transformer Rgs 500 v generator voltage time -500 v

Explanation / Answer

Ns/Np = Vs/Vp

Vs = (Ns/Np)Vp

Vs = 1000 V (peak across R)

Pavg = Irms^2*R

Irms = Io/sqrt(2) = 1000/30*sqrt(2)

Pavg = [1000/30/sqr(2)]^2*30 W

Pavg = 16666.67 W

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