Lab · Electrical Engineering
AC & RLC Lab
Series R–L–C circuit · AC steady state, frequency response, resonance and step transient.
Presets
Circuit
FREQUENCY DOMAINAC steady state at f = 50 Hz
Circuit · Frequency response · ResonanceCircuit
|Z|
10.01 Ω
Character
capacitive
| Inductive reactance XL | 31.42 Ω |
|---|---|
| Capacitive reactance XC | 31.83 Ω |
| Net reactance X = XL − XC | -415.1 mΩ |
| Impedance Z | 10 Ω − j415.1 mΩ |
| Impedance phase φ | -2.3768° |
| RMS current |I| | 999.1 mA |
| |V_R| (RMS) | 9.991 V |
| |V_L| (RMS) | 31.39 V |
| |V_C| (RMS) | 31.8 V |
Element voltages are RMS magnitudes; they do not add arithmetically because they are out of phase.
Model
- · Ideal linear R, L and C in series. AC views: sinusoidal steady state, RMS phasors, ω = 2πf, Z = R + j(ωL − 1/(ωC)).
- · At f = 0 the capacitor is an open circuit: no current flows and no infinite impedance is reported.
- · Transient view: a DC step Vs applied at t = 0 with explicit Vc(0) and i(0); Vs = 0 is the natural response. It is independent of the AC frequency.