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} $