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CUET · PHYSICS · PYQ PAPER 2023

A coil when given supply of 20 V D.C. draws a current of 4 A. When the same coil is given supply of 20 V A.C. with 80 Hz, draw a current of 2 A. The self Inductance of the coil is :

  1. A 0.8 \(\times 10^{-2}\) H
  2. B 1.2 \(\times 10^{-2}\) H
  3. C 1.7 \(\times 10^{-2}\) H
  4. D 3.2 \(\times 10^{-2}\) H
Verified Solution

Answer & Solution

Correct Answer

(C) 1.7 \(\times 10^{-2}\) H

Step-by-step Solution

Detailed explanation

\( R = \frac{V_{DC}}{I_{DC}} = \frac{20}{4} = 5 \, \Omega \) \( Z = \frac{V_{AC}}{I_{AC}} = \frac{20}{2} = 10 \, \Omega \) \( X_L = \sqrt{Z^2 - R^2} = \sqrt{10^2 - 5^2} = \sqrt{100 - 25} = \sqrt{75} = 5\sqrt{3} \, \Omega \)…
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