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MHT CET · Physics · Electromagnetic Induction

The mutual inductance of two coils is 45 mH . The self-inductance of the coils are \(\mathrm{L}_1=75 \mathrm{mH}\) and \(L_2=48 \mathrm{mH}\). The coefficient of coupling between the two coils is

  1. A 0.3
  2. B 0.4
  3. C 0.75
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(C) 0.75

Step-by-step Solution

Detailed explanation

Mutual inductance due to two coils,
\(\begin{aligned}
& M=K \sqrt{L_1 L_2} \\
\therefore \quad K & =\frac{M}{\sqrt{L_1 L_2}}=\frac{45}{\sqrt{75 \times 48}}=\frac{45}{60}=0.75
\end{aligned}\)