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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
1

Correct Answer: 0.25

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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