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TS EAMCET · Physics · Electromagnetic Induction

A coil is connected to an AC source with peak emf, \(8 \mathrm{~V}\) and frequency \(\frac{30}{\pi} \mathrm{Hz}\). The coil has resistance of \(8 \Omega\). If the average power dissipated by the coil is \(0.4 \mathrm{~W}\), then the inductance of the coil is

  1. A \(0.8 \mathrm{H}\)
  2. B \(2.0 \mathrm{H}\)
  3. C \(1.4 \mathrm{H}\)
  4. D \(0.4 \mathrm{H}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(0.4 \mathrm{H}\)

Step-by-step Solution

Detailed explanation

Given, peak emf, \(V_0=8 \mathrm{~V}\) Frequency of AC source, \(f=\frac{30}{\pi} \mathrm{Hz}\) and resistance, \(R=8 \Omega\) \(V_{m s}=\frac{8}{\sqrt{2}} \mathrm{~V} \quad\left(\because V_{m s}=\frac{V_0}{\sqrt{2}}\right)\)…
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