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TS EAMCET · Physics · Electromagnetic Induction

In a pair of adjacent coils if the current in one coil changes from \(10 \mathrm{~A}\) to \(2 \mathrm{~A}\) in a time \(0.2 \mathrm{~s}\), an emf of \(120 \mathrm{~V}\) is induced in another coil. The mutual inductance of the pair of the coils is

  1. A \(2H\)
  2. B \(3H\)
  3. C \(6H\)
  4. D \(9H\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(3H\)

Step-by-step Solution

Detailed explanation

Emf is related to mutual inductance \(\begin{aligned} & \varepsilon=\mathrm{M} \frac{\mathrm{dI}}{\mathrm{dt}} \\ & \Rightarrow 120=\mathrm{M} \times \frac{10-2}{0.2} \end{aligned}\) Mutual inductance, \(\mathrm{M}=\frac{120 \times 0.2}{8}=3 \mathrm{H}\)
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