The current $(I)$ in the inductance is varying with time according to the plot shown in figure. Which one of…

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?




Solution

For inductor as we know induced voltage For $t=0$ to $t=T / 2$
$V=L \frac{d I}{d t}=L \frac{d}{d t}\left(\frac{2 I_0 t}{T}\right)=\text { constant, }$
For
$\begin{aligned}
t & =T / 2 \text { to } t=T \\
V & =\frac{L d I}{d t}\left(\frac{-2 I_0 t}{T}\right)=- \text { constant }
\end{aligned}$
Therefore, answer will represents by graph (d).

Asked in: NEET 2012 (Screening)

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