Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according to equation, I = 5 sin 200`pi`t. The maximum value of emf induced in the second coil is

Options

A. `10piV`
B. `0.1piV`
C. `piV`
D. `0.01piV`

Answer

A

Explanation

Given, mutual inductance in the coil, M = 0.01 H
and current in coil , I = 5sin200 `pi`t. Emf induced in secondary coil is given,
`e=M(dl)/(dt)`
putting the value in above relation
`e=0.01xxd/(dt)(5sin200pit)`
`=0.01xx5xx200picos200pit=10picos200pit`
Compairing the above equation with the general equation of induced emf, which is represented as,
`e=e_(0)cosomegat`
where, `e_(0)` is the maximum value of the emf.
`therefore` In the question, the maximum value of emf induced in the coil is, `e_(0)=10piV`