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Conformal Mapping question

  1. Apr 11, 2012 #1
    1. The problem statement, all variables and given/known data

    part ii of
    http://gyazo.com/0754ea00b2a4ea4a4d171906f6bf28bf


    Answers
    http://gyazo.com/821f370c502cd20210925f8498d18fa1


    2. Relevant equations

    I did part i.
    I had to spot that 1/(x+iy)^2 = 1/(x^2+y^2)^2... (I subbed y = y-1)
    is this a standard result? Should I just know this?


    3. The attempt at a solution
    For part ii

    from the first part we know what u and v are for the w functions. For x = 0, sub this into u and v giving,
    u = -1/(y-1)^2 and v = 0.

    But that doesn't agree with the answer

    Nor does the y=1 subbing (giving u =1 , v= 0)

    I must of interpreted the question wrong. What should I of done?

    Thanks
    Thomas
     
  2. jcsd
  3. Apr 12, 2012 #2
    Small mistake:
    I mean for subbing y = 1

    u = 1/x^2 and v = 0

    But that doesn't really help

    What am I doing wrong? Am I right in thinking I simply sub the values for x and y into the equations derived in the first part of the question?
     
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