The mutual inductance of two coils is 45 mH. The self-inductance of the coils are L₁ = 75 mH and L₂ = 48 mH. The coefficient of coupling between the two coils is (a) 0.3 (b) 0.4 (c) 0.75 (d) 1.0

Answer: (c). k = (M)/(√(L₁L₂)) √(75 × 48) = 60 mH k = 45/60 = 0.75 So the answer is (c) 0.75.

The mutual inductance of two coils is 45 mH. The self-inductance of… | MHT CET 2024 (16 May, Shift 1)

Q29MHT CET 2024 · 16 MAY · SHIFT 1Easy

Mutual Inductance

The mutual inductance of two coils is 45 mH. The self-inductance of the coils are $L_1 = 75\text{ mH}$ and $L_2 = 48\text{ mH}$ . The coefficient of coupling between the two coils is

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Answer: (c)

$k = \dfrac{M}{\sqrt{L_1L_2}}$
$\sqrt{75 \times 48} = 60\text{ mH}$
$k = \dfrac{45}{60} = 0.75$
So the answer is (c) 0.75.

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