A series RLC circuit has a resonance frequency . The bandwidth between the half-power frequencies is . What is the quality factor of the circuit?

10 Explanation: 1. Given Data Resonance frequency ( ) = Bandwidth ( or ) = 2. Concept and Formula The Quality Factor ( -factor) of a resonant circuit is a dimensionless parameter that describes how underdamped an oscillator or resonator is. It is defined as the ratio of the resonant frequency to the bandwidth of the circuit: Where: is the resonant frequency. is the bandwidth (the difference between the upper and lower half-power frequencies, ). 3. Step-by-Step Calculation Substitute the given values into the formula: Since both frequency and bandwidth are given in Hertz ( ), the units cancel out, leaving the Quality Factor as a pure number. Correct Answer The correct option is (d) .

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AMU 2026 — science PYQ

AMU | science | 2026

A series RLC circuit has a resonance frequency $f_{0} = 1000 Hz$ . The bandwidth between the half-power frequencies is $100 Hz$ . What is the quality factor $Q$ of the circuit?

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