Rect. and Polar with complex numbers

  • Thread starter krnhseya
  • Start date
  • #1
103
0

Homework Statement



B= 4-j2. Find [tex]\sqrt{B}[/tex] in rectangular and polar notation.

Homework Equations



n/a

The Attempt at a Solution



i can figure out that in rectangular form by using the calculator and converting those back into polar form but how can i do this without calculator?
 

Answers and Replies

  • #2
chroot
Staff Emeritus
Science Advisor
Gold Member
10,226
34
When you multiply two complex numbers together, their magnitudes are multiplied and their angles are added.

- Warren
 
  • #3
103
0
magnitude of B = sqrt(4^2 + (-2)^2)
and use tangent to find the angle.

but i am asked to find square root.
 
  • #4
chroot
Staff Emeritus
Science Advisor
Gold Member
10,226
34
You're looking for a complex number, the square root of B. You know that if you multiply the square root of B by itself, you get B. Find the complex number that, when multiplied by itself (using the "rule" I have already given you), results in B.

- Warren
 
  • #6
103
0
sorry but last 2 posts dont help me at all;
it's quite obvious that sqrt(b) ^2 = b...and i know how to find magnitude and angle once i get it in forms of X + yj
 

Related Threads on Rect. and Polar with complex numbers

  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
2
Views
2K
Replies
2
Views
6K
Replies
4
Views
6K
Replies
7
Views
1K
Replies
5
Views
2K
  • Last Post
Replies
8
Views
1K
  • Last Post
Replies
2
Views
1K
Replies
2
Views
2K
Replies
2
Views
1K
Top