Question

An alternating voltage \(V=200\sqrt{2}\sin (100t)\) volt is connected to \(1\mu F\) capacitor through ammeter (AC). The reading of ammeter is (in mA)

• A. \(5\)
• B. \(10\)
• C. \(15\)
• D. \(20\)

Hint:

Find the capacitive reactance from the angular frequency and capacitance, then divide the rms voltage by it.

Answer 1

The Correct Option is D

Step 1: Formula first
For a purely capacitive circuit $I_{rms}=V_{rms}\,\omega C$.

Step 2: Substitution
$V_{rms}=\frac{200\sqrt{2}}{\sqrt{2}}=200$ V.
$I_{rms}=200\times100\times10^{-6}=2\times10^{-2}$ A.

Step 3: Unit conversion
$2\times10^{-2}$ A $=20$ mA, so option (D) is correct.

Final Answer:
The rms current is 20 mA. \[ \boxed{\text{(D) }20} \]