The instantaneous value of current in an A.C. | vedclass

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(C) The instantaneous current is given by $I = 3 \sin \left(50 \pi t + \frac{\pi}{4}\right)$.For the current to be maximum,the sine function must be e

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$\frac{1}{200} 	ext{ s}$

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(C) The instantaneous current is given by $I = 3 \sin \left(50 \pi t + \frac{\pi}{4}ight)$.For the current to be maximum,the sine function must be equal to $1$,which means the argument of the sine function must be $\frac{\pi}{2}$.So,$50 \pi t + \frac{\pi}{4} = \frac{\pi}{2}$.Subtracting $\frac{\pi}{4}$ from both sides,we get $50 \pi t = \frac{\pi}{2} - \frac{\pi}{4} = \frac{\pi}{4}$.Dividing by $50 \pi$,we get $t = \frac{\pi}{4 	imes 50 \pi} = \frac{1}{200} 	ext{ s}$.

The instantaneous value of current in an $A.C.$ circuit is $I = 3 \sin \left(50 \pi t + \frac{\pi}{4}\right) \text{ A}$. The current will be maximum for the first time at

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