A current I = 10 sin 100 π t A is passed in first coil, which induces a maximum EMF of 5 π V in second coil. The mutual inductance between the coils is

Question

A current I = 10 sin 100 π t A is passed in first coil, which induces a maximum EMF of 5 π V in second coil. The mutual inductance between the coils is, 5 m H, 10 mH, 15 m H, 20 m H

MARKS App · Accepted Answer

Let current is I = I 0 s i n ω t , Where I 0 = 10 , ω = 100 π Then induced e.m.f. is given by ω = - M d I d t = - M d d t I 0 ω = - M I 0 ω cos ⁡ ω t ∴ Maximum e.m.f. is ω _ max ⁡ = M I 0 ω 5 π = M × 10 × 100 π M = 5 mH

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