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1. May 14, 2016

### Guy ML

1. The problem statement, all variables and given/known data
Given a sphere with radius R, centered at (0,0,0), it's dipole density given as $P\left(\vec{r}\right)=\alpha\left(R-r\right)\hat{z}$ where r is the distance from the center of the ball.

I'm required to find:
1. Bound charge density inside the sphere, bound charge density on the surface of the sphere.
2. Electric potential in the entire space.
3. Electric field inside the sphere and when r=R.

2. Relevant equations

3. The attempt at a solution
I do not know where and how to start, I thought about converting to spherical coordinates because there is no dependency on $\theta$ or $\phi$ but I don't know how that'll help me.

Thanks!

2. May 14, 2016

### Paul Colby

In your course work, what equation connects charge density with the electric field. Have they talked about $E$ and $D$ fields?