Question

Resonance phenomenon is exhibited by a circuit only if:

• A. L and R are present in the circuit
• B. C and R are present in the circuit
• C. R and Z are present in the circuit
• D. L and C are present in the circuit

Hint:

In a resonance circuit, the resonance condition is met when the total reactance is zero. This happens when the inductive reactance cancels out the capacitive reactance. The presence of both inductor \(L\) and capacitor \(C\) is crucial for resonance.

Answer 1

The Correct Option is D

The resonance phenomenon occurs in a circuit when the reactance of the inductor and the capacitor are equal in magnitude, resulting in a condition where the impedance of the circuit becomes purely resistive.
In a series LC circuit, the resonance occurs when the inductive reactance (\(X_L = L\omega\)) and capacitive reactance (\(X_C = \frac{1}{C\omega}\)) are equal. At this point, the total impedance is minimized, and the circuit can exhibit resonance.
Thus, the correct condition for resonance is when both \(L\) (inductor) and \(C\) (capacitor) are present in the circuit.