The mutual inductance of the system of two coils is 5 mH. The current in the first coil varies according to the equation `I = I_0 sinomegat`, where `I_0` = 10 A and `omega = 100pi "rad s"^(-1)`. The value of maximum induced emf in the second coil is ____

Options

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

Answer

B

Explanation

`epsilon=M.(dI)/(dt)` (neglecting (-) sign),
`epsilon=M. d/(dt)` [ `I_0 sin omegat` ]
`therefore epsilon=M. I_0 omega cos omegat`
For maximum value , cos `omegat=1`
`therefore epsilon_"max"=MI_0 omega`
`=0.005xx10xx100pi`
`therefore epsilon=5piV`