ACCircuit

AC circuit

    ACCircuit

Library

Modelica/Electrical/QuasiStatic/UsersGuide/Overview

Description

A simple example of a series connection of a resistor, an inductor and a capacitoras depicted in Fig. 1 should be explained in the following. For various frequencies,the voltage drops across the resistor, the inductor and the capacitor should be determined.

resonance_circuit.png
Fig. 1: Series AC circuit of a resistor and an inductor at variable frequency

The voltage drop across the resistor

\\underline{v}_{r}=R\\underline{i}

and the inductor

\\underline{v}_{l}=j\\omega L\\underline{i}

and the capacitor

\\underline{v}_{l}=j\\omega L\\underline{i}

add up to the total voltage

\\underline{v}=\\underline{v}_{r}+\\underline{v}_{l}

as illustrated in the phasor diagram of Fig. 2.

phasor_diagram.png
Fig. 2: Phasor diagram of a resistor and inductance series connection

Due to the series connection of the resistor, inductor and capacitor, the three currents are all equal:

img5.png

See also

Introduction, Power, Reference system

See Also