If the current through an inductor of 1 H is given by i=t sin t, then voltage across the inductor is

Question

If the current through an inductor of 1 H is given by i=t sin t, then voltage across the inductor is (A)  cos t+t sin t (B) - cos t+t sin t (C) t cos t- sin t (D) - sin t-t cos t

Tardigrade Admin · Accepted Answer

Induced emf (e)=(-L d i/d t) e=-1( sin t+t cos t) e=- sin t-t cos t

Q. If the current through an inductor of $1 H$ is given by $i = t sin t$ , then voltage across the inductor is

$cos t + t sin t$

$- cos t + t sin t$

$t cos t - sin t$

$- sin t - t cos t$

Induced emf $(e) = \frac{- L d i}{d t}$
$e = - 1 (sin t + t cos t)$
$e = - sin t - t cos t$

Q. If the current through an inductor of 1H is given by i=tsint, then voltage across the inductor is

cost+tsint

−cost+tsint

tcost−sint

−sint−tcost