Impedance module of serial resistor-coil-capacitor circuit¶

Consider an electrical circuit consisting of a capacitor, coil, and resistor connected in series. Then you can find the impedance module of such a circuit.

Links:

Wikipedia, derivable from first formula.

circuit_impedance_module¶: Absolute value of the circuit’s electrical_impedance.

Symbol:: abs(Z)
Latex:: \(|Z|\)
Dimension:: impedance

resistor_resistance¶: electrical_resistance of the resistor.

Symbol:: R
Latex:: \(R\)
Dimension:: impedance

capacitor_reactance¶: electrical_reactance of the capacitor.

Symbol:: X_C
Latex:: \(X_\text{C}\)
Dimension:: impedance

coil_reactance¶: electrical_reactance of the coil.

Symbol:: X_L
Latex:: \(X_\text{L}\)
Dimension:: impedance

law¶

abs(Z) = sqrt(R^2 + (X_L - X_C)^2)

Latex:: \[|Z| = \sqrt{R^{2} + \left(X_\text{L} - X_\text{C}\right)^{2}}\]