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CUET · PHYSICS · PYQ PAPER 2023

An inductor coil joined to a 12 V battery draws a steady current of 12 A. This coil is connected to a capacitor and ac source of rms voltage 12 V in series. What will be the rms current, if the current in the circuit is in phase with the emf?

  1. A 12A
  2. B 17 A
  3. C 8.6A
  4. D Zero
Verified Solution

Answer & Solution

Correct Answer

(A) 12A

Step-by-step Solution

Detailed explanation

\( R = \frac{V_{DC}}{I_{DC}} = \frac{12 \, \text{V}}{12 \, \text{A}} = 1 \, \Omega \) Current in phase with emf implies resonance: \( Z = R \) \( I_{rms} = \frac{V_{rms}}{Z} = \frac{12 \, \text{V}}{1 \, \Omega} = 12 \, \text{A} \)
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