# Homework Help: Solution of laplace eqn in cylindrical coordinate

1. Oct 8, 2012

### alphaneutrino

1. The problem statement, all variables and given/known data

A infinite long hollow cylinder has a narrow lengthwise cut and the potential on the cylinder is given by v(r,θ) = vo(θ/(2*pi))

2. Relevant equations

V(s,theta) = Ao + $Ʃ (n AnSnSin nθ + BnSn Cos nθ)$

3. The attempt at a solution

boundary condition V(r,0)= 0 gives Ao = -ƩAnrn
boundary condition V(r, 2∏) = Vo,

I was trying to substitute the value of Ao from the first condition, but it gives some crazy values. need help to proceed forward from this step.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution