Question

Find the impedance of a series RLC circuit if the inductive reactance, capacitive
reactance and resistance are 184 Ω, 144 Ω and -j30 Ω respectively. Also calculate the
phase angle between voltage and current

Answer 1

The impedance of a series RLC circuit is

$$Z=\sqrt{(X_L-X_C)^2+R^2}=50\space\Omega.$$

The phase angle between voltage and current equals

$$\phi=\text{atan}\frac{X_L-X_C}{R}=53^\circ.$$