The mutual inductance of two coils is 45 mH . The self-inductance of the coils are $\mathrm{L}_1=75…

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. 0.3
  2. 0.4
  3. 0.75
  4. 1.0

Solution

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

Asked in: MHT CET 2024 (16 May Shift 1)

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