- #1

pitbull

Gold Member

- 25

- 1

## Homework Statement

Given two spherical conductors of radius R and tangent at O, both are charged and in equilibrium with surface charge density ρ

_{s}=ρ

_{0}cos

^{2}theta. Calculate:

a) Voltage of both spheres at O. (SOLUTION: V=2ρ

_{0}R/(3ε

_{0})

(...)

## Homework Equations

## The Attempt at a Solution

So I tried to solve it, first saying that both have the same voltage on its surface, thus, the voltage at point O is the same as voltage anywhere else on the surface of any of those spheres. I integrated ρ

_{s}on the surface on one sphere, (R between 0 and R, and theta between 0 and 2pi), and I got a charge of R

^{2}ρ

_{0}pi/4 on one sphere,

Then I use Gauss to find the Electric field made by such sphere and integrate to find the voltage on the surface of the sphere, and I got V=ρ

_{0}R/(8ε

_{0}). I cannot find what's wrong