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Subject: "Imaginary fraction module"     Previous Topic | Next Topic
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Francisco
guest
Oct-29-07, 07:35 AM (EST)
 
"Imaginary fraction module"
 
   Hello!!
I´m Francisco and I´m a spanish student who is studying now in the Stuttgart Universität in Germany!
I´m doing my final project to finish my studies in engineering and I have to solve one equation to continue!
I would like to get the module of this equation:
1/(sqrt(1+jb)+c)

j = imaginary part

Thank you very much for your help!!

Francisco Caba


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alexb
Charter Member
2118 posts
Oct-29-07, 01:48 PM (EST)
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1. "RE: Imaginary fraction module"
In response to message #0
 
   Every complex number in the Cartesian form z = x + jy has a polar representation

z = r(cos(a) + j sin(a)), where

r = sqrt(x² + y²) and tan(a) = b/a.

In the polar form, finding sqrt is a snap:

sqrt(z) = sqrt(r)(cos(a/2) ± j sin(a/2)).

Also, |1 / z| = 1 / |z|.

Can you take your problem from here?


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Francisco
guest
Oct-30-07, 06:23 AM (EST)
 
2. "RE: Imaginary fraction module"
In response to message #1
 
   Thank you for your answer!

I had an error because I had added in the angle the number Pi, but now the results are correct and it works the simulation!

Thank you and congratulations for the webpage!

Francisco


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