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Question:

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.

ω₀RL

CRω₀

R(ω₀C)

ω₀L/R

Solution:

The correct option is ω₀L/R
Quality factor Q = ω₀L/R
In the question it is given that current exhibits resonance ωL = 1/ωC
ω = 1/√LC
√LC = ω₀
Q = ω₀L/R