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:

$$|Z|=\sqrt{R^2+{(X_{\text{L}}-X_{\text{C}})}^2}$$