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#1 2014-02-21 20:14:13

ammar
Member
Registered: 2013-12-16
Posts: 69

mapping

any hint about this question and some basics

Q-Show that under the transformation function W=1/Z , the circle defined by |Z-3|=5 is mapped into a circle |W+3/16|=5/16 in the W-plane

Last edited by ammar (2014-02-21 20:18:55)

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#2 2014-02-21 23:16:08

Bob
Administrator
Registered: 2010-06-20
Posts: 10,164

Re: mapping

hi ammar,

I do these like this:

let W = x + iy so Z = 1/(x + iy)

You can re-arrange this to get the required equation for that circle.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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