Q118 / 150 · MHT CET 2024 (09 May Shift 2) · Physics

Two coils of self-inductance 25 mH and 9 mH are placed close together such that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is

A
34 mH
B
16 mH
Correct answer
C
15 mH
D
6 mH

Solution

If $\mathrm{L}_1$ and $\mathrm{L}_2$ are the inductances of the first and second coil respectively, then mutual inductance between the two coils is given by $\mathrm{M}=\sqrt{\mathrm{L}_1 \mathrm{~L}_2}=\sqrt{25 \times 9}=15 \mathrm{mH}$

Hence, the correct answer is option: 'C'.

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