fra0104 Summary of Complex Numbers for Electronics Technology

Strengthening Skills   Building Confidence


Dividing Complex Numbers
Polar Form

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

 =

a

(A - B)

b B b
 

 

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

Here are two different complex numbers:

620 and 315

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

620 415

or

6 20

4 15

To divide these numbers, first divide the length components

6 20

4 15

6 4 = 1.5

Then subtract the angular components

6 20

4 15

20 - 15 = 5

Putting together the length and angular components:

1.55

So the overall result is:

620

 =  1.55  

4 15

Learn From More Examples

  1.          10-74 6-80 = 1.676
  2.          1
72 4-13 = 0.2585
  3.          9
45 421 =  2.2524
  4.          4
18 316 = 1.332
  5.          1
28 411 = 0.2517
  6.          10
-11 245 = 5-56
  7.          1
-65 4-18 = 0.25-47
  8.          1
-57 7-78 = 0.1421
  9.          10
-80 8-73 = 1.25-7
10.          2
-21 5-13 =  0.4-8

David L. Heiserman, Editor

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All Rights Reserved

Revised: June 06, 2015