Question:
In a series LCR resonance circuit, if we change the resistance only, from a lower to higher value :
In a series LCR resonance circuit, if we change the resistance only, from a lower to higher value :
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Resistance is the "damper" of the circuit. Higher $R$ means a broader, flatter resonance curve (higher bandwidth, lower $Q$).
Updated On: Feb 2, 2026
- The resonance frequency will increase
- The bandwidth of resonance circuit will increase
- The quality factor will increase
- The quality factor and the resonance frequency will remain constant
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The Correct Option is B
Solution and Explanation
Step 1: Resonance frequency $\omega_0 = \frac{1}{\sqrt{LC}}$ is independent of $R$.
Step 2: Quality factor $Q = \frac{\omega_0 L}{R}$. As $R$ increases, $Q$ decreases (the peak flattens).
Step 3: Bandwidth $\Delta \omega = \frac{\omega_0}{Q} = \frac{R}{L}$. As $R$ increases, bandwidth increases.
Step 2: Quality factor $Q = \frac{\omega_0 L}{R}$. As $R$ increases, $Q$ decreases (the peak flattens).
Step 3: Bandwidth $\Delta \omega = \frac{\omega_0}{Q} = \frac{R}{L}$. As $R$ increases, bandwidth increases.
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