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JEE Mains · Physics · STD 12 -6. Electromagnetic induction

When current in a coil changes from \(5\,A\) to \(2\,A\) in \(0 .1\,s,\) average voltage of \(50\,V\) is produced. The self- inductance of the coil is.......\(H\)

  1. A \(6\)
  2. B \(0.67\)
  3. C \(3\)
  4. D \(1.67\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1.67\)

Step-by-step Solution

Detailed explanation

According to Faraday's law of electromagnetic induction, Induced \(emf\), \(e=\frac{L d i}{d t}\) \(50 = L\left( {\frac{{5 - 2}}{{0.1\,{\text{sec}}}}} \right)\) \(\Rightarrow L=\frac{50 \times 0.1}{3}=\frac{5}{3}=1.67\, \mathrm{H}\)
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