When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit

Step-by-step solution

The impedance of a series LR circuit is given by Z₁ = R^2 + X_L^2 . When a capacitor is connected in series with the LR circuit, it becomes an LCR circuit. The new impedance is given by Z₂ = R^2 + (X_L - X_C)^2 . The net reactance of the circuit changes from X_L to |X_L - X_C| . Since the capacitive reactance X_C opposes the inductive reactance X_L , the net reactance generally decreases. As a result, the overall impedance of the circuit decreases ( Z₂ Since the alternating current is inversely proportional to the