CO
NC
EPT
U
AL
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:
.