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  4. If the current through an inductor of 2 H is given by I=tsint A , then the voltage across the inductor is

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Q. If the current through an inductor of $2 \, H$ is given by $I=tsint \, A$ , then the voltage across the inductor is

NTA AbhyasNTA Abhyas 2020

Solution:

$\left|e_{L}\right|=L\frac{d i}{d t}$
$=L\left(t cos t + sin ⁡ t\right)\left(L = 2 \, H\right)$
$=2tcos t+2sin ⁡ t$