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For an RLC circuit driven with voltage of amplitude vₘ and frequency ω₀ = 1/√LC the current exhibits resonance. The quality factor, Q is given by:
- ω₀L/R
- ω₀R/L
- R/(ω₀C)
- CR/ω₀
Correct answer: ω₀L/R
Solution
The quality factor Q represents the ratio of the resonant frequency to the bandwidth of the circuit, and in an RLC circuit at resonance, it is defined as the inductive reactance divided by the resistance, which mathematically simplifies to ω₀L/R.
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