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  4. 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? <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/e51eaad2b6a5ad731a22655a41ce496a-.png />

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Q. 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?
image

Alternating Current

Solution:

$V=-L(d i / d t), V$ is proportional to the slope of the $i-t$ graph, which is constant and positive for the first half $(0$ to $T / 2)$ and negative and constant for the second half $(T / 2$ to $T$ ).
$|V|=L(d i / d t)$ in this case.
For first half $V$ is -ve and for the second half it is + ve.