The instantaneous value of an alternating cur | vedclass

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(D) The given equation for the instantaneous current is $I = 50 \sin(100 \pi t)$.We need to find the time $t$ when $I = 25 \ A$.Substituting the value

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$\frac{1}{600} \ s$

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(D) The given equation for the instantaneous current is $I = 50 \sin(100 \pi t)$.We need to find the time $t$ when $I = 25 \ A$.Substituting the values into the equation:$25 = 50 \sin(100 \pi t)$$\frac{25}{50} = \sin(100 \pi t)$$0.5 = \sin(100 \pi t)$Since $\sin 30^{\circ} = 0.5$ and $30^{\circ} = \frac{\pi}{6}$ radians,we have:$100 \pi t = \frac{\pi}{6}$Dividing both sides by $100 \pi$:$t = \frac{\pi}{6 	imes 100 \pi}$$t = \frac{1}{600} \ s$.

The instantaneous value of an alternating current is given by $I = 50 \sin(100 \pi t)$. It will achieve a value of $25 \ A$ after a time interval of (given $\sin 30^{\circ} = 0.5$):

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