An alternating e.m.f. is given by e $=e_{0}$ sin wt. In what time the e.m.f. will have half its maximum value, if 'e' starts from zero? (T = Time period) $\left(\sin 30^{\circ}=\cos 60^{\circ}=0 \cdot 5, \quad \cos 30^{\circ}=\sin 60^{\circ}=\frac{\sqrt{3}}{2}\right)$

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Aicharya · Accepted Answer

$\frac{E_{0}}{2}=E_{0} \sin \left(\frac{2 \pi t}{T}\right) \therefore \frac{1}{2}=\frac{\sin (\pi)}{6}=\frac{\sin (2 \pi t)}{T}$ $\therefore \frac{2 \pi t}{T}=\frac{\pi}{6} \therefore t=\frac{T}{12}$

An alternating e.m.f. is given by e $=e_{0}$ sin wt. In what time the e.m.f. will have half its maximum…

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