Thursday, June 22, 2017

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AC Electricity : Series and Parallel Circuits

Third Part of AC Electricity for Industrial Instrumentation

Impedance in a series circuit is the orthogonal sum of resistance and reactance:

 

Series_Parallel_Fig_017.JPG

 

 Equivalent series and parallel circuits are circuits that have the exact same total impedance as one another, one with series-connected resistance and reactance, and the other with parallel connected resistance and reactance. The resistance and reactance values of equivalent series and parallel circuits may be expressed in terms of those circuits’ total impedance:
Series_Parallel_Fig_018.JPG

If the total impedance of one circuit (either series or parallel) is known, the component values of the equivalent circuit may be found by algebraically manipulating these equations and solving for the desired R and X values:


Series_Parallel_Fig_019.JPG
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