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For the coupled coils shown in the figure, the value of mutual inductance is maximum, provided the coefficient of coupling (k) is:

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MPPGCL JE Electrical 28 April 2023 Shift 1 Official Paper
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Answer (Detailed Solution Below)

Option 2 : 1
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Detailed Solution

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Coefficient of coupling

The coupling coefficient can be defined as a magnetic flux produced between two different coils while managing the flux successfully.

\(k={M\over \sqrt{L_1L_2}}\)

where, k = Coefficient of coupling

M = Mutual inductance

Land L2 = Self-inductance of two coils

Explanation

The value of k lies between 0 and 1. The maximum value of k = 1.

\(1={M\over \sqrt{L_1L_2}}\)

\(M=\sqrt{\mathrm{L}_1 \times \mathrm{L}_2}\)

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