Theoretical Physics 3 by Wolfgang Nolting

Author:Wolfgang Nolting
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

a solution of ( 4.77) for

As a logical consequence of the complex notation for I and U one defines also a complex resistance Z:

(4.79)

One uses the following notations:

One visualizes these quantities in the so-called vector diagram (Fig. 4.10). The complex resistance Z has a phase shift φ:

In the context of alternating-currents one frequently uses the root-mean-square (rms) values of the current and the voltage, respectively, which are defined as the roots of the time-averaged squares of U and I, i.e. for instance (τ: periodic time):

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