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Question: A current I = 10 sin(100p t) amp. is passed in first coil, which induces a maximum e.m.f of 5p volt ...

A current I = 10 sin(100p t) amp. is passed in first coil, which induces a maximum e.m.f of 5p volt in second coil. The mutual inductance between the coils is-

A

10 Mh

B

15 mH

C

25 mH

D

5 mH

Answer

5 mH

Explanation

Solution

Let I = I0 sinwt,

where I0 = 10, w = 100 p

then e = M

= M I0 sin wt

= M I0w coswt

\ emax = MI0w

5p = M × 10 × 100p

M = 5mH