An alternating voltage is given by $v=10 \cos 314 t$. At $t=\frac{1}{600} \mathrm{~s}$, the instanta

Question

An alternating voltage is given by $v=10 \cos 314 t$. At $t=\frac{1}{600} \mathrm{~s}$, the instantaneous value of voltage is

Professor PC Thomas Classes · Answer

Substitute $t = \frac{1}{600} 	ext{ s}$ and $\omega = 314 \approx 100\pi 	ext{ rad/s}$. Then $v = 10 \cos(100\pi 	imes \frac{1}{600}) = 10 \cos(\frac{\pi}{6}) = 5\sqrt{3} 	ext{ V}$.