Question

An RLC circuit with $R=100\omega$ is connected across ac source of 200V and angular frequency 300 rad/s. When only capacitance is removed, the current lags behind voltage by ${60}^{\circ }$. When only inductance is removed, the current leads the voltage by ${60}^{\circ }$. The current in the circuit is: (in Ampere)___

Answer 1

$Rtan{60}^{\circ }=X_{L}Rtan{60}^{\circ }=X_{C}i=\frac{V_{rms}}{z}=\frac{200}{\sqrt{R^2+(X_L-X_C{)}^2}}=\frac{200}{\sqrt{R^2+0}}=\frac{200}{100}=2A$