An alternating voltage $v=200 \sqrt{2} \sin 100 t$ is connected to $1 \mu \mathrm{~F}$ capacitor thr

Question

An alternating voltage $v=200 \sqrt{2} \sin 100 t$ is connected to $1 \mu \mathrm{~F}$ capacitor through an $a c$ ammeter. The reading of the ammeter shall be

Professor PC Thomas Classes · Answer

Here, $V_{rms} = 200 	ext{ V}$ and $X_C = \frac{1}{\omega C} = \frac{1}{100 	imes 10^{-6}} = 10^4 \ \Omega$. The AC ammeter measures RMS current: $I_{rms} = \frac{200}{10^4} = 0.02 	ext{ A} = 20 	ext{ mA}$.