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CUET · PHYSICS · PYQ PAPER 2023

If a capacitor is connected in an ac circuit, what is the phase relationship between current and potential difference applied across the capacitor ?

  1. A The current leads the potential difference by \( \pi/2 \)
  2. B The current lags the potential difference by \( \pi/2 \)
  3. C The current and the potential difference are in the same phase
  4. D The current and the potential difference are in the opposite phase
Verified Solution

Answer & Solution

Correct Answer

(A) The current leads the potential difference by \( \pi/2 \)

Step-by-step Solution

Detailed explanation

In a purely capacitive AC circuit, the current reaches its maximum value one-fourth of a cycle before the voltage does. Mathematically, if the applied voltage is \(V=V_0 \sin (\omega t)\), the resulting current is \(I=I_0 \sin (\omega t+\pi / 2)\), confirming that current leads…