Question

In a series RLC circuit, resonance occurs when ______.

Options

• X_L​ = R

• X_C ​= R

• X_L ​= X_C​

• X_L​ + X_C ​= R

Answer 1

In a series RLC circuit, resonance occurs when X_L ​= X_C​.

Explanation:

At resonance, the inductive reactance equals the capacitive reactance (X_L = X_C), so they cancel each other out. The impedance reduces to its minimum value Z = R, and the current in the circuit becomes maximum, equal to i_m = v_m / R.