Alexander Fufaev
My name is Alexander FufaeV and here I will explain the following topic:

RLC Series Circuit

Formula

Formula: Impedance (RLC Series Circuit)
RLC series circuit of resistor (R), coil (L) and capacitor (C)
What do the formula symbols mean?

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.

Electrical Resistance

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

Video

An RLC series circuit consists of a resistor \( R \), an inductor \( L \) and a capacitor \( C \), which are arranged in series in an electrical circuit. These components form a series of consecutive elements through which the current can flow.

fufaev.org RLC series circuit of resistor (R), coil (L) and capacitor (C)
RLC series circuit of resistor (R), coil (L) and capacitor (C)
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