RLC Series (AC)

This interactive simulator explores RLC Series (AC) in Electricity & Magnetism. Resonance peak, |Z|, phase. I(f) curve and live V & I waves. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: For learners comfortable with heavier math or second-level detail. Typical context: Electricity & Magnetism.

Key terms

  • rlc
  • series
  • rlc circuit
  • electricity
  • magnetism

Live graphs

How it works

Series **R–L–C** driven by **V(t) = V₀ sin ωt**. Impedance **Z = R + j(ωL − 1/ωC)**. At **ω₀ = 1/√(LC)** the reactances cancel (**X_L = X_C**), **|Z| = R** is minimum, and **current** is maximum — **series resonance**. Current **lags** voltage when the load is net **inductive**, **leads** when net **capacitive**.

Key equations

|Z| = √(R² + (ωL − 1/ωC)²)  ·  I = V₀/|Z|  ·  tan φ = (ωL − 1/ωC) / R