Concepts Of Physics MCQ Edition [Volume 2]PhysicsAlternating Current
If a circuit has zero reactance, it is possible that the circuit contains
Options
- Aan inductor but no capacitor
- Bboth an inductor and a capacitor
- Cneither an inductor nor a capacitor
- Da capacitor but no inductor
Correct answer
C. neither an inductor nor a capacitor
Step-by-step solution
The net reactance of an AC circuit is given by X = X_L - X_C = L - 1 C . For the circuit to have zero reactance, X = 0 , which requires X_L = X_C . This condition can be satisfied in two cases: First, if the circuit contains neither an inductor nor a capacitor. In this case, X_L = 0 and X_C = 0 , making the net reactance zero. This corresponds to a purely resistive circuit. Second, if the circuit contains both an inductor and a capacitor. At the resonant frequency, the inductive reactance equals the capacitive reac