Free AC Impedance Calculator
Calculate AC impedance of a series RLC circuit: Z = sqrt(R² + (XL - XC)²).
Ω
Ω
Ω
Impedance (Z)
122.0656 Ω
Phase Angle34.99 °
Impedance (Z) vs Resistance (R)
AC Impedance
Impedance is the total opposition to current flow in an AC circuit, including both resistance and reactance.
Formula
Z = sqrt(R² + (XL - XC)²)
where XL = 2*pi*f*L is inductive reactance and XC = 1/(2*pi*f*C) is capacitive reactance. The phase angle is phi = arctan((XL - XC) / R).
Example Calculation
A series RLC circuit with R = 100 Ω, XL = 150 Ω, XC = 80 Ω.
- 01Z = sqrt(R² + (XL - XC)²)
- 02Z = sqrt(100² + (150 - 80)²)
- 03Z = sqrt(10000 + 4900)
- 04Z = sqrt(14900) = 122.07 Ω
- 05phi = arctan(70/100) = 34.99°
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