# Homework Help: Complec potential and streamfunction

1. Mar 4, 2010

### MaxManus

1. The problem statement, all variables and given/known data
The complex potential is:
W = Uz + (m/2pi) [ln(z + a) − ln(z − a)]
where z = x +yi
Find the streamfunction

3. The attempt at a solution
The streamfunction is the complex part of the complex potential

Psi = uy + (m/2pi)(ln(y+a) - ln(y-a))
= uy + (m/2pi)ln((y+a)/(y-a))

,but the solution says:
psi = uy - $$\frac{m}{2pi}$$arctan((2ay)/(x^2+y^2-a^2))

What am I doing wrong?

I have tried comparing them with a = 0.5, x = 1, y =1 and do not get the same answer.

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