A current I = 20 sin 100 π t A is passed in the first coil, which induces a maximum emf of 10 π V in the second coil. The mutual inductance for the pair of coils is

Question

A current I = 20 sin 100 π t A is passed in the first coil, which induces a maximum emf of 10 π V in the second coil. The mutual inductance for the pair of coils is, 10 m H, 15 m H, 25 m H, 5 m H

MARKS App · Accepted Answer

Let I = I 0 sin ω t , Where I 0 = 20 A , ω = 100 π rad s - 1 Then, ε = M d I d t = M d I 0 sin ω t d t = M I 0 ω cos ω t ⇒ ε max = M I 0 ω = 10 π M = 10 π 20 × 100 π M = 0.005 H = 5 mH

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