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Complex Numbers  Forms and Partsby dotNet
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#1
Feb1112, 05:20 PM

P: 2

Hi, I have a complex number and understand that the rectangular form of the number is represented by
s = σ + jω, where σ is the real part and jω is imaginary. I am having trouble locating them in the number below: I know that "2" is a real number, and the numerator is imaginary along with j*2*pi*k. Since the numerator is dividing both the elements at the bottom, does this number have a real and imaginary part? (This is where I am a little confused). My guess would be that σ = 2 and the rest is imaginary. If I could figure out what parts are real and imaginary, I can go on to find the rectangular form and the polar form. Thanks 


#2
Feb1112, 07:08 PM

P: 800

By the way, multiplying numerator and denominator by the conjugate of the denominator is the standard thing to do with this kind of problem. 


#3
Feb1212, 07:58 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,345




#4
Feb1312, 01:08 AM

P: 96

Complex Numbers  Forms and Parts
Just try a look into www.wolframalpha.com and enter
Exp[3 Pi I] / (2 + 2 Pi k I) what is the Mathematica version of your formula 


#5
Feb1312, 07:46 AM

Sci Advisor
P: 906

as others have suggested, evaluate the numerator at the specific angle (3pi), and then multiply the resulting fraction by:
[tex]\frac{2  j2\pi k}{2  j2\pi k} (= 1)[/tex] to make the denominator real. 


#6
Feb2112, 07:54 PM

P: 81




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