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## Homework Statement

The dielectric cylinder is radius R and thickness d. Origin is at the center of the cylinder, which is oriented along the z-axis. It has polarization P=pz

^{∧}I need to calculate the potential V(0,0,h) at h>d/2.

## Homework Equations

σ

_{b}=P⋅n

^{∧}

Σ((-nR

^{2n}A

_{n}/R

^{n+1})-nR

^{n-1}A

_{n})sin(nφ)+Σ((-nR

^{2n}B

_{n}/R

^{n+1})-nR

^{n-1}B

_{n})cos(nφ)=-σε

_{0}

## The Attempt at a Solution

I've actually done a lot of work to reach the equation above. In example problems, such as with a sphere, σ ends up with a cosφ term that can be used to set their coefficients equal to each other and solve for the A

_{n}and B

_{n}terms. In this problem, however, the normal unit vector n

^{∧}is parallel with the direction of polarization so σ=p. Since σ has no sin or cos terms, I can't solve for A

_{n}and B

_{n}. What am I supposed to do, or more likely, what did I do wrong?