A non-uniform spherically symmetric charge distribution is given as follows: p(r

Question

A non-uniform spherically symmetric charge distribution is given as follows:

p(r)=p+0(1-4r/3R) for r<R and p(r)=0 for r>R

A. How do you choose the Gaussian surface for a spherical charge distributions of any kind? Explain the reason for the geometry.

B. How much total charge is there?

C. How do you make sense of this result in part B, Explain?

D. Use Gauss's Law to find an expression for the electric feild for r<R

E. Use Gauss's Law to ffind an expression for the electric field for r>R.

Explanation / Answer

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