When a certain resistor is connected to anac generator with a maximum voltage of 15 V, the average powerdissipated in the resistor is 22 W. (a) What is the resistance of theresistor? (b) What is the rms current in the circuit? (c) We knowthat Pav = I2rmsR, and hence it seems that reducing the resistanceshould reduce the average power. On the other hand, we alsoknow that Pav = V2rms>R, which suggests that reducing R increasesPav. Which conclusion is correct? Explain.

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Chapter1: Units, Trigonometry. And Vectors
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When a certain resistor is connected to an
ac generator with a maximum voltage of 15 V, the average power
dissipated in the resistor is 22 W. (a) What is the resistance of the
resistor? (b) What is the rms current in the circuit? (c) We know
that Pav = I2
rmsR, and hence it seems that reducing the resistance
should reduce the average power. On the other hand, we also
know that Pav = V2
rms>R, which suggests that reducing R increases
Pav. Which conclusion is correct? Explain.

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