This information is part of the Modelica Standard Library maintained by the Modelica Association.

A simple example of a series connection of a resistor, an inductor and a capacitor as 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.

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

The voltage drop across the resistor

and the inductor

and the capacitor

add up to the total voltage

as illustrated in the phasor diagram of Fig. 2.

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:

See also