Two coils P and S have a mutual inductance of `5 xx 10^(-3)H`. If the current in the primary is `I=10 sin(100 pi t)`, then the maximum value of the e.m.f. induced in S is

Options

A. 6.82 V
B. 12.56 V
C. 15.70 V
D. 3.14 V

Answer

C

Explanation

`I_(P) = I_(0) sin omega t :. (dI_(P))/(dt) = I_(0) omega cos omega t`
`:. E_(S) = M(dI_(P))/(dt) = MI omega cos omega t`
`:. Max E_(S) = 5 xx 10^(-3) xx 10 xx 100 pi xx 1`
`=5 pi = 15.70 V`.