Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

6.1 PHASORS

 

· Phasors are used for the analysis of sinusoidal, steady state conditions.

 

· Sinusoidal means that if we measure the voltage (or current) at any point `i' in the circuit it will have the general form,

 

 

· Steady state means that the transients have all stopped. This can be crudely though of as the circuit has `charged-up' or `warmed-up'.

 

· Consider the example below,

 

 

· Steady state is another important concept, it means that we are not concerned with the initial effects when we start a circuit (these effects are known as the transients). The typical causes of transient effects are inductors and capacitors.

 

 

· We typically deal with these problems using phasor analysis. In the example before we had a voltage represented in the time domain,

 

 

 

 

· Basically to do this type of analysis we represent all components voltages and currents in complex form, and then do calculations as normal.

 

 

 

 

· Consider the simple example below,

 

 

 

6.1.1 RMS Values

6.1.2 LR Circuits

6.1.3 RC Circuits

6.1.4 LRC Circuits

6.1.5 LC Circuits