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## Homework Statement

In a spherical region, the voltage is measured to be spherically symmetrical, with v=v(r)=wr^p

a. Find the radial electric field.

b. Use Gauss’ Law to find the charge enclosed in a sphere of radius r.

c. Find the charge enclosed by a sphere of radius r+dr.

d. Find the differential charge enclosed in the annular region between two concentric spheres of radii r and r+dr.

e. Find the differential volume of the annular region between two concentric spheres of radii r and r+dr.

f. Find the charge density, rho=rho(r)=?

## Homework Equations

## The Attempt at a Solution

i am pretty sure that part a would be v(r)= - integral E(r) dr. so the radial electric field would be -Pwr^(p-1)

i am confused on how to do the rest. any help/hints would be appreciated.