Two coils have a mutual inductance `0.005 H`. The current changes in the first coil according to equation `I=I_(0)sin omegat`, where `I_(0)=10A` and `omega=100pi`radian//sec`. The maximum value of e.m.f. in the second coil is

Options

A. `2 pi`
B. `5 pi`
C. `pi`
D. `4 pi`

Answer

B

Explanation

Value of induced emf in coil,
`e=M(di)/(dt)`
`=0.005xx(d)/(dt)(i_(0) sin omegat)`
`=0.005xxi_(0)omegacos omegat" "["For"e_(max),cosomegat=1]`
`therefore" "e_(max)=0.005xx10xx100pi`
`=5pi`