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Easy way to simplify expr to a+bi?

• To: mathgroup at smc.vnet.net
• Subject: [mg26245] Easy way to simplify expr to a+bi?
• From: crcarle at sandia.gov
• Date: Wed, 6 Dec 2000 02:16:27 -0500 (EST)
• Organization: Sandia National Laboratories
• Sender: owner-wri-mathgroup at wolfram.com

Hi:

I often encounter complex expressions such as:

Z = 1/( 1/R1 + 1/( R2 + I w L ) + I w C )

which I want to simplify to the form of

Z = a + b I  

so I can answer various questions about the behavior of either a or b .

I can do this by hand of course, tediously adding the fractions,
inverting, multiplying by the complex conjugate on top and bottom, then
simplifying a long list of terms until I get there.

It would be nice if I could do the equivalent of Re[Z] and Im[Z] and
have Mathematica do the work for me, but that is not the result of those
functions.

Any ideas?

Thanks.
-- 
_______________________
Christopher R. Carlen
Sr. Laser/Optical Tech.
Sandia National Labs