A coil has a self inductance of 10 mH. What is the maximum magnitude of the induced e.m.f. in the coil when a current of I ` = 0.1 sin 200 t` ampere is sent through it ?

Options

A. 1.2 V
B. 0.6 V
C. 0.2 V
D. 2.3 V

Answer

C

Explanation

Given, `L=10mH=10^(-2)H,i=0.1sin200t`
`(di)/(dt)=0.1cos200txx200=20cos200t`
`((di)/(dt))_(max)=((dI)/(dt))_(t=0)`
`(di//dt)_(max)=20xx1`
As, `e=L(di//dt)implies e_(max)=L(di//dt)_(max)`
`e_(max)=10^(-2)xx20=0.2V`