AC Circuits Workbench
Analyze sinusoidal signals, phasors, complex impedance, RLC networks, AC power, power-factor correction, filters, transformers, and balanced three-phase systems.
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How this tool works
Fourteen guided modules progress from sinusoidal waveforms and phasors to complex networks and three-phase power.
Every graph labels its measured quantity and unit, including time, voltage, frequency, impedance, current, gain, and power.
Inputs, imported state, restored state, graph sampling, and complex arithmetic are bounded before calculation and rendering.
Core equations
v(t)=Vpk sin(ωt+φ)Z_R=RZ_L=jωLZ_C=1/(jωC)S=VI*P=S cosφQ=S sinφf₀=1/(2π√LC)f_c=1/(2πRC)V_s/V_p=N_s/N_pP_3φ=√3V_LI_L cosφAssumptions
- Signals are sinusoidal and in steady state unless the time-domain sinusoid module is used.
- Components and transformers are ideal, linear, and lumped.
- Three-phase systems are balanced.
- Power-factor correction uses an ideal shunt capacitor estimate.
Limitations
- Not a substitute for SPICE simulation, protection studies, harmonic analysis, insulation coordination, component thermal design, laboratory measurement, electrical codes, or professional review.
- The workbench does not model source impedance frequency dependence, parasitics, magnetic saturation, core loss, skin effect, transmission lines, unbalanced three-phase faults, switching transients, or non-sinusoidal harmonics.
References and verification
- Alexander and Sadiku, Fundamentals of Electric CircuitsSinusoidal steady-state analysis, phasors, impedance, power, resonance, and filters.
- Nilsson and Riedel, Electric CircuitsAC networks, frequency response, transformers, and three-phase systems.