Two coils A and B have mutual inductance `2xx10^(-2)` Henry if the current in he primary coil is i=5 sin `(10pit)` then the maximum value of emf induced in coil B is

Options

A. `pi` volt
B. `pi/2` volt
C. `pi/3` volt
D. `pi/4` volt

Answer

A

Explanation

`M=2xx10^(-2)H and i=5sin(10pit)`
Induced emf, `e_(B)=(dI_(A))/(dt)`, where, `e_(B)=emf` in coil B
`e_(B)=-2xx10^(-2)(d)/(dt)[5sin(10pit)]" "[becausei=5sin(10pit)]`
`e_(B)=-2xx5xx10^(-2)xx10pi[cos(10pit)]`
`e_(B)=-pi[cos(10pit)]`
the maximum value of emf induced in coil `B=piV`