Gauss' law problem with sphere

  • Thread starter dpd069
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  • #1
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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.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
1,341
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Well what does gauss' law state?
 
  • #3
3
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Gauss' law states that the flux of the electric field is equal to Q/epsilon0.

my question then is how do i relate that to the given statement v(r)=wr^p?
 

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