q. two coils with self inductances 1h and 4h have, Mechanical Engineering

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q. two coils with self inductances 1h and 4h have

Q. Two coils with self inductances 1H and 4H have a mutual inductance of 1H. The RMS value of current flowing in the two coils is 4A and 1A respectively. Find the coupling factor

Ans.

Given

Mutual inductance M = 1H

L₁ = 1 H

L₂ = 4 H

Given I₁ = 4 Amp

I₂ = 1 Amp

The total magnetic energy stored

W = 1/2L₁I₁² + 1/2L₂I₂² ±1/2MI₁I₂

W = {1/2 ×1 × 16 } + {1/2 × 4 × 1}± {1/2 × 1 × 4 × 1}

W = 12 or 8 watt

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Mechanical Engineering: q. two coils with self inductances 1h and 4h have

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