Two coils A and B are placed in a circuit. When current in the coil A changes by $0.8 \mathrm{~A}$ the…

Two coils A and B are placed in a circuit. When current in the coil A changes by $0.8 \mathrm{~A}$ the magnetic flux in coil $\mathrm{B}$ changes by $0.16 \mathrm{~Wb}$. The mutual inductance between the coils is
  1. $2 \mathrm{H}$
  2. $20 \mathrm{H}$
  3. $0.5 \mathrm{H}$
  4. $0.2 \mathrm{H}$

Solution

The magnetic flux in coil B is given by, $\Phi=M i_1$ where, $M$ is the coefficient of mutual inductance, $i_1$ is the current in coil A. $\Rightarrow M=\frac{\Phi}{i_1}=\frac{0.16 \mathrm{~Wb}}{0.8 \mathrm{~A}}=0.2 \mathrm{H}$

Asked in: MHT CET 2022 (06 Aug Shift 2)

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