Electro Magnetic Induction And Alternating Currents Question 87

Question: A sinusoidal ac current flows through a resistor of resistance R. If the peak current is $ I_{p} $ , then the power dissipated is [MP PMT 1991]

Options:

A) $ I_{p}^{2}R\cos \theta $

B) $ \frac{1}{2}I_{p}^{2}R $

C) $ \frac{4}{\pi }I_{p}^{2}R $

D) $ \frac{1}{\pi }I_{p}^{2}R $

Show Answer

Answer:

Correct Answer: B

Solution:

Power $ =I^{2}R={{( \frac{I_{p}}{\sqrt{2}} )}^{2}}R=\frac{I_{p}^{2}R}{2} $



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