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MHT CET · Physics · Alternating Current

In an a.c. circuit, a resistance ' \(R\) ' is connected in series with an inductance ' \(L\) '. If phase angle between voltage and current is \(45^{\circ}\), the value of inductive reactance will be \(\left(\tan 45^{\circ}=1\right)\)

  1. A R
  2. B \(\frac{\mathrm{R}}{2}\)
  3. C \(\frac{\mathrm{R}}{4}\)
  4. D \(\frac{\mathrm{R}}{\sqrt{2}}\)
Verified Solution

Answer & Solution

Correct Answer

(A) R

Step-by-step Solution

Detailed explanation

\(\tan \phi = \frac{X_L}{R}\) \(\tan 45^{\circ} = \frac{X_L}{R} \implies 1 = \frac{X_L}{R} \implies X_L = R\)