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

Answer

B

Explanation

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