Question

In the circuit shown in the figure, the ac source gives a voltage $V=20cos\left(2000t\right)$. Neglecting source resistance, the ammeter reading will be

• A. 0.47A
• B. 0.47A
• C. 2 A
• D. 1.4 A

Answer 1

The correct option is D 1.4 A

$Z=\sqrt{(R{)}^2+(X_L-X_C{)}^2};R=10\Omega ,X_L=\omega L=2000\times 5\times {10}^{-3}=10\Omega X_C=\frac{1}{\omega C}=\frac{1}{2000\times 50\times {10}^{-6}}=10\Omega i.e.Z=10\Omega Maximumcurrent{i}_0=\frac{V_0}{Z}=\frac{20}{10}=2AHence{i}_{rms}=\frac{2}{\sqrt{2}}=1.4A$