For the shown series RLC circuit, R=10 kΩ, L=10 mH and C=1 μF. The resistor-voltage amplitude equals the source-voltage amplitude. Find ω₀ in rad/s. Source voltage is 100cos(ω₀t) V.
The resistor voltage equals source amplitude only when the net reactive impedance vanishes, since |Vᵣ/Vₛ|=R/√[R²+(ωL−1/(ωC))²]. Resonance gives ω₀=1/√(LC)=1/√(10⁻²×10⁻⁶)=10⁴ rad/s, A.
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