For a resonant network, bandwidth is inversely proportional to quality factor: BW = f₀/Q. Therefore a wider bandwidth requires a lower Q.
Formula / Key Relation
Q = f₀ / BW
Therefore:
BW = f₀ / Q
Detailed Explanation
Concept & ReasoningQuality factor measures the sharpness/selectivity of resonance. A high-Q circuit has a narrow response around its resonant frequency, whereas a low-Q circuit responds over a wider frequency range. For the common series or parallel resonant definition, Q = f0/BW, so increasing bandwidth means reducing Q. 'Zero Q' is not the useful design target because it would destroy meaningful resonance.How to Solve It in the ExamHigh Q = sharp/narrow; low Q = broad/wide.Important Exam PointFor bandwidth questions, immediately write BW = f0/Q.Related Revision PathThis question sits in the revision path Network Theory → Resonance → Quality Factor and Bandwidth…
Concept & Reasoning
Quality factor measures the sharpness/selectivity of resonance. A high-Q circuit has a narrow response around its resonant frequency, whereas a low-Q circuit responds over a wider frequency range. For the common series or parallel resonant definition, Q = f0/BW, so increasing bandwidth means reducing Q. 'Zero Q' is not the useful design target because it would destroy meaningful resonance.
How to Solve It in the Exam
High Q = sharp/narrow; low Q = broad/wide.
Important Exam Point
For bandwidth questions, immediately write BW = f0/Q.
Related Revision Path
This question sits in the revision path Network Theory → Resonance → Quality Factor and Bandwidth .
Quick Trick
High Q = sharp/narrow; low Q = broad/wide.
Common Mistake
Do not associate high quality factor with 'better' in every application; it means greater selectivity, not wider bandwidth.
Exam Tip
For bandwidth questions, immediately write BW = f0/Q.
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