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Positive electric charge Q is distributed uniformly throughout the volume of an

ID: 1689113 • Letter: P

Question

Positive electric charge Q is distributed uniformly throughout the volume of an insulating sphere with radius R.From the expression for E=kQ/r^2 for r>R and E=kQr/R^3 for r<R, find the expression for the electric potential V as a function of r both inside and outside the uniformly charged sphere. Assume that V= 0 at infinity.

Express your answer in terms of the given quantities and appropriate constants.

1. V(r),r>R
2.V(r), r<R
3. Graph V as function of r from r = 0 to r= 3R.
4. Graph E as function of r from r = 0 to r= 3R.

Explanation / Answer

A.) =Q/4*pi*epsilon_0*r

B.) =(Q/8*pi*epsilon_0*R)(3-(r^2/R^2))

I haven't figured the graphs out just yet. Let me know if you did!