The next formula is used to calculate the impedance of an RLC series circuit.
Formula 1
Where:
Z is the equivalent impedance in ohm (Ω)
R the resistance in ohm (Ω)
XL is the inductive reactance in ohm (Ω)
XC is the capacitive reactance in ohm (Ω)
Derivated Formulas:
Formula 2
Formula 3
Application Example:
Calculate the impedance of a series circuit formed by a 10-ohm resistor, a capacitor with a capacitive reactance of 5 Ω and a coil with an inductive reactance of 10 Ω.
Data:
R = 10 Ω
Xc = 5 Ω
XL = 10 Ω
Applying formula 3:
Z = 11,18 Ω