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:

  1. 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:
\[|Z| = \sqrt{R^{2} + \left(X_\text{L} - X_\text{C}\right)^{2}}\]