MHT CET · Physics · Alternating Current
An alternating volta ge \(E=200 \sqrt{2} \sin (100 t)\) is connected to 1 microfarad capacitor through AC ammeter. The reading of ammeter shall be
- A \(10 \mathrm{~mA}\)
- B \(20 \mathrm{~mA}\)
- C \(40 \mathrm{~mA}\)
- D \(80 \mathrm{~mA}\)
Answer & Solution
Correct Answer
(B) \(20 \mathrm{~mA}\)
Step-by-step Solution
Detailed explanation
Reading of ammeter \(=I_{\mathrm{rms}}=\frac{V_{\mathrm{rms}}}{X_{C}}=\frac{V_{0} \omega C}{\sqrt{2}}\)
\(
\begin{array}{l}
=\frac{200 \sqrt{2} \times 100 \times\left(1 \times 10^{-6}\right)}{\sqrt{2}}=2 \times 10^{-2} \mathrm{~A} \\
=20 \mathrm{~mA}
\end{array}
\)
\(
\begin{array}{l}
=\frac{200 \sqrt{2} \times 100 \times\left(1 \times 10^{-6}\right)}{\sqrt{2}}=2 \times 10^{-2} \mathrm{~A} \\
=20 \mathrm{~mA}
\end{array}
\)
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