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Question

Define quality factor of resonance in series LCR circuit. What is its SI unit?

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Solution

Quality factor of resonance is a dimensionless parameter that describes how underdamped an oscillator or resonator is, and characterizes a resonator bandwidth relative to its center frequency.
At resonance, XC=XL wo=1LC
Quality factor in series LCR circuit Q=woLR=1RLC
As quality factor is dimensionless, thus it has no SI unit.

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