- #1
echau
- 18
- 0
Hi,
Could somebody please help me on a problem regarding Potential?
Calculate the potential inside and outside a sphere of radius R and charge Q,in which the charge is distributed uniformly throughout. [Hine: The additive constant for the potential inside the charged sphere must be chose so that the two potentials inside and outside, agree at r=R]
So far, I know that V(outside)=Q/(4*PI*e0*r) when r>R.
How would I find the V(outside) when r<R?
The answer given in the back of the book is V=[Q/(8*PI*e0*R)][3-(r/R)^2]
I have no idea how to obtain it.
Also how would I go about finding the V(inside) for when r>R, and r<R?
Any help would be greatly appreciated!
Could somebody please help me on a problem regarding Potential?
Calculate the potential inside and outside a sphere of radius R and charge Q,in which the charge is distributed uniformly throughout. [Hine: The additive constant for the potential inside the charged sphere must be chose so that the two potentials inside and outside, agree at r=R]
So far, I know that V(outside)=Q/(4*PI*e0*r) when r>R.
How would I find the V(outside) when r<R?
The answer given in the back of the book is V=[Q/(8*PI*e0*R)][3-(r/R)^2]
I have no idea how to obtain it.
Also how would I go about finding the V(inside) for when r>R, and r<R?
Any help would be greatly appreciated!