Question

Obtain the resonant frequency of a series LCR circuit with L=2.0 H, C=32µV and R = 10?. What is the Q value of this circuit?

Answer 1

Given L = 2.0 H, C = 32µF = 32 × 10^-6 F

R = 10Ω, Q = ?, ω₀ = ?

Resonant frequency

ω₀ = \(\frac{1}{\sqrt{LC}}\)

or ω₀ = \(\frac{1}{\sqrt{2\times32\times10^{-6}}}\) = 125s^-1

Q -factor, Q = \(\frac{1}{R}\sqrt\frac{L}{C}=\frac{1}{10}\sqrt\frac{2.0}{32\times10^{-6}}\) = 25