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Coupled circuits-1

Given two cou...

Question

Given two coupled inductors $L_{1}$ and $L_{2}$ , their mutual inductance $M$ satisfies

A

M = \sqrt{L_{1}^{2} + L_{2}^{2}}

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B

M > \frac{(L_{1} + L_{2})}{2}

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C

M > \sqrt{L_{1} L_{2}}

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D

M \leq \sqrt{L_{1} L_{2}}

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Solution

The correct option is D $M \leq \sqrt{L_{1} L_{2}}$
$M = K \sqrt{L_{1} L_{2}}$

where,
K=coefficient of coupling

$∵ 0 < K < 1$

$∴ M \leq \sqrt{L_{1} L_{2}}$

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