# Formula Impedance (RLC series circuit) Inductance    Capacitance    Angular frequency    Resistance

## Impedance

Unit
Impedance is the magnitude of the complex resistance $$Z$$. This formula gives the total impedance of a resistor-coil-capacitor series circuit (RLC series circuit). To obtain this formula, the Pythagorean theorem was applied to a phasor diagram on which the three quantities are plotted:
• Ohmic impedance: $$Z_{\text R } ~=~ R$$.
• Inductive impedance: $$Z_{\text L } ~=~ \text{i} \, \omega \, L$$.
• Capacitive impedance: $$Z_{\text C } ~=~ -\text{i}\frac{1}{\omega \, C}$$.

## Inductance

Unit
The inductance of the coil connected to the RLC circuit.

## Capacitance

Unit
Capacitance of the capacitor connected to the RLC circuit.

## Angular frequency

Unit
The angular frequency $$\omega = 2\pi \, f$$ indicates the frequency $$f$$ at which the LRC circuit oscillates. The frequency $$f$$ is specified, for example, by the frequency of the applied AC voltage.

## Resistance

Unit
Ohmic resistance of a resistor connected to the RLC series circuit.