Calculate the total impedance (Z) of a series AC circuit with this easy-to-use tool. Understand how resistance, inductive reactance (XL), and capacitive reactance (XC) combine at a given frequency. Essential for electrical engineers, students, and hobbyists designing or analyzing AC circuits.
Formula:
The total impedance (Z) of a series AC circuit depends on its resistance (R), inductive reactance (XL), and capacitive reactance (XC).
First, calculate the reactances:
- Inductive Reactance (XL): XL = 2 × π × f × L
- Capacitive Reactance (XC): XC = 1 / (2 × π × f × C)
Then, calculate the total impedance:
Z = √(R² + (XL - XC)²)Where:
- Z = Total Impedance (Ohms, Ω)
- R = Resistance (Ohms, Ω)
- XL = Inductive Reactance (Ohms, Ω)
- XC = Capacitive Reactance (Ohms, Ω)
- f = Frequency (Hertz, Hz)
- L = Inductance (Henrys, H)
- C = Capacitance (Farads, F)
- π ≈ 3.14159