EngiRef / Electrical Engineering Formula

Impedance Magnitude

Impedance Magnitude: Impedance magnitude of a series RLC circuit. An AC Circuits formula in electrical engineering. Variables Z, R, Xₗ and Xc, each with SI and…

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.