fra0103 Summary of Complex Numbers for Electronics Technology

Strengthening Skills   Building Confidence


Multiplying Complex Numbers
Polar Form

This is the  formal expression for multiplying complex numbers in polar form:

aA x bB = ab(A + B)

 

The procedure for multiplying two complex numbers in polar form is fairly straightforward.

Here are two different complex numbers:

220 and 415

Here is how to show that the two values are to be multiplied:

220 x 415

or

(220)(415)

To multiply these numbers, first multiply the length components
(2
20)(4150):

2 x 4 = 8

Then add the angular components
(2
20)(415)

20 + 15 = 35

Putting together the length and angular components:

835

So the overall result is:

(220)(415) = 835

Learn From More Examples

  1.          312 x 7-54 = 21-42
  2.          10
-4 x 8-45 = 80-49
  3.          8
82 x 913 = 7295
  4.          8
-56 x 10-21 = 80-77
  5.          10
27 x 7-64 = 70-37
  6.          6
-72 x 6-32 = 36-104
  7.          7
88 x 7-14 = 4974
  8.          4
87 x 1-47 = 440
  9.          8
58 x 5-23 = 4035
10.          7
-22 x 1-89 = 7-111

David L. Heiserman, Editor

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Revised: June 06, 2015