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AP EAMCET · PHYSICS · Alternating Current

A resistor of \(450 \Omega\) and an inductor are connected in series to an ac source of frequency \(\frac{75}{\pi} \mathrm{~Hz}\). If the power factor of the circuit is 0.6, then the inductance connected in the circuit is

  1. A 6 mH
  2. B 4 H
  3. C 4 mH
  4. D 6 H
Verified Solution

Answer & Solution

Correct Answer

(B) 4 H

Step-by-step Solution

Detailed explanation

\(Z = \frac{R}{\cos \phi} = \frac{450 \, \Omega}{0.6} = 750 \, \Omega\) \(X_L = \sqrt{Z^2 - R^2} = \sqrt{(750 \, \Omega)^2 - (450 \, \Omega)^2} = \sqrt{360000} \, \Omega = 600 \, \Omega\)…