- Homework Statement
- A sphere of radius R is situated a distance d away from an infinite, grounded conducting sheet. (d is the distance from the center to the plate, and d>R.) If the sphere has a uniform charge density p, calculate the force on the sphere.
- Homework Equations
- F=Integral(E dV) over the volume of the sphere
I tried to find the the Electric field due to the image charge. So the potential due to the image charge is V=-(pR^2)/√(4R^2-4rRcos(θ)+r^2). When I took the gradient of that in spherical coordinates, I got a mess that doesn't seem to be possible to integrate.