EngiRef / Electrical Engineering Formula

Impedance Magnitude

Impedance Magnitude: Impedance magnitude of a series RLC circuit. An AC Circuits formula in electrical engineering. Series RLC, sinusoidal steady-state.

AC Circuits

Specification

Name
Impedance Magnitude
Discipline
electrical
Category
AC Circuits
LaTeX
Z = \sqrt{R^2 + (X_L - X_C)^2}
Description
Impedance magnitude of a series RLC circuit
Conditions
Series RLC, sinusoidal steady-state
Can solve for
Z
Tags
impedance, reactance, rlc, ac

Variables

Variables for Impedance Magnitude
SymbolNameUnitSi Unit
ZImpedanceΩΩ
RResistanceΩΩ
XₗInductive ReactanceΩΩ
XcCapacitive ReactanceΩΩ

Common questions

What is the Impedance Magnitude formula?
Impedance magnitude of a series RLC circuit. It sits under AC Circuits, Electrical engineering in the EngiRef reference.
What do the symbols in the Impedance Magnitude formula mean?
In Impedance Magnitude, Z is impedance in Ω; R is resistance in Ω; Xₗ is inductive reactance in Ω; Xc is capacitive reactance in Ω.
When does the Impedance Magnitude formula apply?
Impedance Magnitude holds under this condition: Series RLC, sinusoidal steady-state.