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

The current in an inductor is given by \(\mathrm{I}=(3 \mathrm{t}+8)\) where \(t\) is in second. The magnitude of induced emf produced in the inductor is \(12 \mathrm{mV}\). The selfinductance of the inductor _______ \(\mathrm{mH}\).

  1. A \(3\)
  2. B \(4\)
  3. C \(6\)
  4. D \(7\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(4\)

Step-by-step Solution

Detailed explanation

\(\mathrm{I}=3 \mathrm{t}+8\) \(\varepsilon=12 \mathrm{mV}\) \(|\varepsilon|=\mathrm{L}\left|\frac{\mathrm{dI}}{\mathrm{dt}}\right|\) \(12=\mathrm{L} \times 3\) \(\mathrm{~L}=4 \mathrm{mH}\)
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