CONCEPTUAL TOOLS

By:  Carl H. Durney and Neil E. Cotter

Phasors

 

 

Phasor<->inverse-phasor

 

 

Example 1

 

 

 

 
 
 

 

Ex:            If  find , (i.e., find the phasor)
Ans:         
Sol'n:        If we have a cosine, we use the standard identity for phasors:
                       
                  For a sine, we multiply the standard identity by -j (which is the phasor for a sine of magnitude one and zero phase shift):
                       
                  Thus, we have
                        .
                  The above is mathematically correct and works properly in solving problems, but we will apply identities to express the answer in standard form:
                        .
                  Note:    (We use whichever of +180° or –180° is most convenient.)
                        .
                  Applying the identities:
                        .