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Physics · PYQ NEET UG 2020

हिन्दी

A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage, is \( \frac{\pi}{3} \). If instead C is removed from the circuit, the phase difference is again \( \frac{\pi}{3} \) between current and voltage. The power factor of the circuit is:

  1. \( 0.5 \)
  2. \( 1.0 \)
  3. \( -1.0 \)
  4. zero

Correct answer · Option 2

\( 1.0 \)

Explanation

Given \( \tan\phi = \frac{|X_L - X_C|}{R} \). Since \( X_C = X_L \) when respective components are removed giving identical phase shifts, \( X_L = X_C \), so impedance \( Z = R \). Thus, power factor \( \cos\phi = \frac{R}{Z} = 1.0 \).
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