An alternating current `I` in an inductance coil varies with time `t` according to the graph as shown: Which one of the following graph gives the variation of voltage with time?

Options

A.
B.
C.
D.

Answer

D

Explanation

`t=0` to `t=(T)/(2)` , slope of `i-t` graph `(di)/(dt)=(I)/(T//2)=(2I)/(T)`
`e=-L(di)/(dt)=-L.(2I)/(L)`
`t=(T)/(2)` to `t=T,(di)/(dt)=-(I)/(T//2)=-(2I)/(T)`
`e=-L(di)/(dt)=-L.((-(2I)/(T))=-L.(2I)/(T)`