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CUET · PHYSICS · PYQ PAPER 2023

The average power associated with an ideal capacitor of capacitance \( 5 \ \mu\text{F} \) connected to an alternating emf \( E = 200 \sin 100\pi t \) is:

  1. A zero
  2. B 5 J
  3. C \( 5 \times 10^{-6} \text{ J} \)
  4. D \( \frac{5 \times 10^{-6}}{2\pi} \text{ J} \)
Verified Solution

Answer & Solution

Correct Answer

(A) zero

Step-by-step Solution

Detailed explanation

For an ideal capacitor in an AC circuit, the phase difference between voltage and current is \( \phi = \frac{\pi}{2} \). Average power \( P_{avg} = V_{rms} I_{rms} \cos\phi \). \( P_{avg} = V_{rms} I_{rms} \cos\left(\frac{\pi}{2}\right) = 0 \).
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