Finding the magnitude of complex fractions
November 4, 2007 11:18 AM Subscribe
Finding the magnitude of a complex fraction. Is it simply |num|/|denom|? Or is there more to it?
posted by toomanyplugs to science & nature (4 answers total)
Say I have a complex fraction (a+bi)/(c+di). If I need to find the magnitude of the entire fraction, can I simply take the magnitude of the numerator over the magnitude of the denominator? ie,
sqrt(a^2 + b^2) / sqrt(c^2 + d^2)
I've tried solving this in MathCAD, but the answer it gives is much more complicated than this, and I can't figure out how to work its logic through. The book I'm using doesn't go into how to solve this type of problem with the numerator != 1.
If it matters, the actual problem I'm solving (for a control systems class) is
but I'd prefer a method to just the solution.
I have access to MATLAB 2007a and MathCAD 13
Yes, this is homework help, but it's not homework answers. I need help in finding the analytical method