Interactive AC Circuit Simulator & Phasor Visualization | Live Waveform & Bode Plot

AC Circuit Interactive DSP Tool

Adjust Parameters

Resistance (R): 20 Ω Inductance (L): 0.04 H Capacitance (C): 10 μF Frequency (f): 50 Hz

Results

Phasor Diagram

Yellow = static phasor (initial phasor), Blue = rotating phasor

Waveform

Rotating Phasor

Controls

R: 20 Ω L: 40 mH C: 10 μF f: 50 Hz

Rotating Phasor

Live Signal Waveform

Bode Plot

📐 Math Behind AC Circuits

In an AC series RLC circuit, we have:

• Resistance: R (Ω)
• Inductor: L (H) → Reactance \( X_L = 2 \pi f L \)
• Capacitor: C (F) → Reactance \( X_C = \frac{1}{2 \pi f C} \)
• Angular Frequency: \( \omega = 2 \pi f \)

The total impedance of the series circuit is:

\( Z = \sqrt{R^2 + (X_L - X_C)^2} \)

The phase angle between voltage and current is:

\( \phi = \arctan\left(\frac{X_L - X_C}{R}\right) \)

Interpretation:

• \( X_L > X_C \) → Inductive (current lags voltage)
• \( X_L < X_C \) → Capacitive (current leads voltage)
• \( X_L = X_C \) → Resonance (current and voltage in phase)

The resonant frequency is:

\( f_0 = \frac{1}{2 \pi \sqrt{LC}} \)