Series RLC resonance
Series RLC resonance is an interactive experiment in Alternating Current, a free simulation from StudyFi Lab that runs right in your browser.
In a series RLC circuit the reactances subtract: the impedance is Z = √(R² + (X_L − X_C)²) and the voltage leads the current by φ = atan((X_L − X_C)/R). At the resonance frequency f₀ = 1/(2π√(LC)), X_L = X_C, so Z = R, φ = 0 and the current is at its largest. Above f₀ the circuit behaves inductively (φ > 0), below it capacitively (φ < 0).
Try this: Set f to f₀ — the voltages across L and C cancel, and each can be larger than the source voltage. Then increase R and watch the peak of the resonance curve get lower and wider.
Frequently asked questions
What does the “Series RLC resonance” experiment show?
In a series RLC circuit the reactances subtract: the impedance is Z = √(R² + (X_L − X_C)²) and the voltage leads the current by φ = atan((X_L − X_C)/R). At the resonance frequency f₀ = 1/(2π√(LC)), X_L = X_C, so Z = R, φ = 0 and the current is at its largest. Above f₀ the circuit behaves inductively (φ > 0), below it capacitively (φ < 0).
How do I try “Series RLC resonance”?
Set f to f₀ — the voltages across L and C cancel, and each can be larger than the source voltage. Then increase R and watch the peak of the resonance curve get lower and wider.
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