⚛︎ Physics Formula Searcher

AC Circuits Formulas

A complete list of ac circuits formulas, covering RMS values, capacitive and inductive reactance, impedance, and resonant frequency.

7 formulas. Use the interactive searcher to solve for any variable and convert units.

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RMS voltage

V_rms = V₀ / √2
V_rms RMS voltageVV₀ peak voltageV

RMS current

I_rms = I₀ / √2
I_rms RMS currentAI₀ peak currentA

Capacitive reactance

X_C = 1 / (2π·f·C)
X_C capacitive reactanceΩf frequencyHzC capacitanceF

Inductive reactance

X_L = 2π·f·L
X_L inductive reactanceΩf frequencyHzL inductanceH

Impedance (RLC)

Z = √(R² + (X_L − X_C)²)
Z impedanceΩR resistanceΩX_L inductive reactanceΩX_C capacitive reactanceΩ

Resonant frequency

f₀ = 1 / (2π·√(L·C))
f₀ resonant frequencyHzL inductanceHC capacitanceF

Inductor energy

E = ½·L·I²
E energyJL inductanceHI currentA