Question

An RLC circuit with $R=100\Omega$ is connected across ac source of 200V and angular frequency 300 rad/s. When the 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

$Rtan{60}^{\circ }=X_L$

$Rtan{60}^{\circ }=X_C$

$i=\frac{V_{ms}}{z}=\frac{200}{\sqrt{R^2+(X_L-X_c{)}^2}}$

$=\frac{200}{\sqrt{R^2+0}}=\frac{200}{100}$

$=2A$