The current (I) in the inductance is varying with time according to the plot shown in figure.

Which one of the following is the correct variation of voltage with time in the coil?

Options

A.
B.
C.
D.

Answer

D

Explanation

For inductor as we know indiced voltage
For t = 0 to t = T/2
`V=L(dI)/(dt)=L(d)/(dt)((2I_(0)t)/(T))` = constant
For t = T/2 to t = T
`V=(LdI)/(dt)((-2I_(0)t)/(T))`= constant
Therefore, anwer will represent by graph (d).