A current I = 1 0 sin 1 0 0 π t A . is passed in first coil, which induces a maximum e.m.f of 5 π volt in second coil. The mutual inductance between the coils is –

Question

A current I = 1 0 sin 1 0 0 π t A . is passed in first coil, which induces a maximum e.m.f of 5 π volt in second coil. The mutual inductance between the coils is –, 10 mH, 15 mH, 25 mH, 5 mH

MARKS App · Accepted Answer

Let I = I 0 sin ω t where I 0 = 1 0 , ω = 1 0 0 then ε = M dI dt = M d dt I 0 sin ω t = M I 0 ω cos ω t ∴ ε max = M I 0 ω 5 π = M × 1 0 × 1 0 0 π M = 5 mH

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