6. AC and phasors
Capacitive-reactance magnitude
Formula
Tags
Detail
With Z=R+jX capacitive reactance is negative: X_C=-1/(ωC). The magnitude is |X_C|=1/(ωC) and Z_C=-j/(ωC).
Variables
- peak (V)
- RMS (V)
- rad/s
- Hz
- rad
- Ω
- S.
Conditions
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Intuitive explanation
For “Capacitive-reactance magnitude”: |X_C|=1/(ωC) is the magnitude; with Z=R+jX, X_C=-1/(ωC) and Z_C=-j/(ωC).
Conventions
- V, rad/s, Ω or S according to the left-hand side
Last reviewed: 2026-09-19