MHT CET Medical202623 April 2026Evening ShiftPhysicsAlternating CurrentActual
In an L-C-R series, AC circuit at resonance,
Options
- Athe capacitive reactance is more than the inductive reactance.
- Bthe capacitive reactance is less than the inductive reactance.
- Cthe capacitive reactance is equal to the inductive reactance.
- Dthe power dissipated is minimum.
Correct answer
C. the capacitive reactance is equal to the inductive reactance.
Step-by-step solution
In an L-C-R series AC circuit, the impedance is given by Z = R^2 + (X_L - X_C)^2 . At resonance, the impedance of the circuit is minimum and purely resistive, which means Z = R . This condition is satisfied when the inductive reactance is equal to the capacitive reactance, i.e., X_L = X_C . Since the impedance is minimum, the current in the circuit is maximum, leading to maximum power dissipation. Therefore, at resonance, the capacitive reactance is equal to the inductive reactance. Answer: the capacitive reactance