The mutual inductance (M) of the two coils is $3 \mathrm{H}$. The self inductances of the coils are $4…

The mutual inductance (M) of the two coils is $3 \mathrm{H}$. The self inductances of the coils are $4 \mathrm{H}$ and $9 \mathrm{H}$ respectively. The coefficient of coupling between the coils is
  1. 0.3
  2. 0.4
  3. 0.5
  4. 0.6

Solution

Coefficient of coupling, $\mathrm{K}=\frac{\mathrm{M}}{\sqrt{\mathrm{L}_1 \mathrm{~L}_2}}=\frac{3}{\sqrt{36}}=0.5$

Asked in: MHT CET 2023 (09 May Shift 2)

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