An alternating voltage E=502 (100t) V is connected to a 1 capacit… - Vidyadip

MCQ

An alternating voltage $\text{E}=50\sqrt{2}\sin(100\text{t}) V$ is connected to a $1\mu\text{F}$ capacitor through an ac ammeter. What will be the reading of the ammeter?

A
$10\text{mA}$
✓
$5\text{mA}$
C
$5\sqrt{2}\text{mA}$
D
$10\sqrt{2}\text{mA}$

✓

Answer

Correct option: B.

$5\text{mA}$

$\text{X}_\text{C}=\frac{1}{\text{C}\omega}=10000\Omega$
ammeater reading $=\text{I}_\text{rms}=\frac{\text{V}_\text{rms}}{\mid\text{jX}_\text{c}\mid}=\frac{50}{10000}=5\text{mA}$

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