Network Analysis and Synthesis - ECE Questions and Answers

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In the series circuit shown in figure, for series resonance, the value of the coupling coefficient, K will be

0.25

0.5

0.1

Answer : Option A

Explanation :

Mutual inductance w_m = ωk L₁L₂

m = k. 2. 8j² = 4k. j

Z = 20 - j10 + j2 + j6 + 2.4kj - 2j + 8kj = 0 at resonance

-2 = -8k

k = 1/4 0.25 .

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