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MHT CET · Physics · Electromagnetic Induction

When a current of \(1 \mathrm{~A}\) is passed through a coil of 100 turns, the flux associated with it is \(2.5 \times 10^{-5} \mathrm{~Wb} /\) turn. The self inductance of the coil in millihenry is

  1. A \(40\)
  2. B \(25\)
  3. C \(4\)
  4. D \(2.5\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(2.5\)

Step-by-step Solution

Detailed explanation

Given: \(N=100, I=1 \mathrm{~A}\), \(\phi=2.5 \times 10^{-5} \mathrm{~Wb} /\) turn
Self-inductance of coil,
\(\mathrm{L} =\frac{\mathrm{N} \phi}{\mathrm{I}}\)
\(\therefore \mathrm{L} =\frac{100 \times 2.5 \times 10^{-5}}{1}=2.5 \times 10^{-3} \mathrm{H}\) \(=2.5 \mathrm{mH}\)