Question:
The plot given below is of the average power delivered to an LRC circuit versus frequency. The quality factor 
The plot given below is of the average power delivered to an LRC circuit versus frequency. The quality factor
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\(Q=\dfrac{f_0}{\Delta f}\), where \(\Delta f\) is the width of the power curve between the half-power points.
Updated On: Oct 31, 2026
- 5.0
- 2.0
- 2.5
- 0.4
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The Correct Option is B
Solution and Explanation
From the graph (average power in microwatts versus frequency in kHz) the peak is at the resonant frequency \(f_0=5\) kHz with maximum power about 1.0.
The half-power points are where the power falls to about half the maximum (dotted lines near 0.5): at about 3.7 kHz and 6.3 kHz, so \(\Delta f\approx2.5\) kHz.
Quality factor \(Q=\dfrac{f_0}{\Delta f}=\dfrac{5}{2.5}=2.0\).
Answer: (2) 2.0
The half-power points are where the power falls to about half the maximum (dotted lines near 0.5): at about 3.7 kHz and 6.3 kHz, so \(\Delta f\approx2.5\) kHz.
Quality factor \(Q=\dfrac{f_0}{\Delta f}=\dfrac{5}{2.5}=2.0\).
Answer: (2) 2.0
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