- #1
Bowtime
- 3
- 0
I have been given a problem relating to surface charge distributions, however the surface is not an infinite plane, as i have found lots of examples for, it is for a sphere. the problem goes ' Consider a sphere of radius R which supports a uniform charge distribution of Rho(s) = 10 micro Coulombs/metre squared on its surface. determine the electric field produced by applying:
i) direct integration
ii) Gauss' law
determine the electric potential everywhere. Sketch the electric field and potential as functions of radial distance from the centre of the sphere.'
2. Has anyone seen a worked example anywhere for a question like this? I've seen plenty for an infinite plane, or for a sphere of uniform charge distribution but can't find anything for this question. can anyone point me in the right direction?
3. I know that for a plane the equation is E = Rho(s)/(2Eo) where Eo is permittivity of free space but really don't know where to start with this.
i) direct integration
ii) Gauss' law
determine the electric potential everywhere. Sketch the electric field and potential as functions of radial distance from the centre of the sphere.'
2. Has anyone seen a worked example anywhere for a question like this? I've seen plenty for an infinite plane, or for a sphere of uniform charge distribution but can't find anything for this question. can anyone point me in the right direction?
3. I know that for a plane the equation is E = Rho(s)/(2Eo) where Eo is permittivity of free space but really don't know where to start with this.