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Electric Field of a Dielectric Sphere

by Marvi
Tags: dielectric, electric, field, sphere
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Marvi
#1
Nov7-09, 12:48 PM
P: 2
1. The problem statement, all variables and given/known data
A uniform charge q is distributed along a sphere of radius R.
a) What is the Electric Potential in the center of the sphere?



2. Relevant equations
V(r1)-V(r0) = - [tex]\int \stackrel{\rightarrow}{E}[/tex] * [tex]\stackrel{\rightarrow}{dl}[/tex]


3. The attempt at a solution
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kuruman
#2
Nov7-09, 03:52 PM
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You will need to find the electric field both inside and outside the field and integrate the expression you posted from infinity to R using the field outside and then from R to zero using the field inside.
Marvi
#3
Nov7-09, 03:56 PM
P: 2
Thanks for answering, but actually I can't find the expression for the second part of the Electric field

The first is inside the sphere wich leads to [tex]\frac{Kq}{R}[/tex] but the Electric field of the outside part of the sphere I don't know what to do

obs: the answer is : [tex]\frac{6kq}{R}[/tex]

kuruman
#4
Nov7-09, 09:18 PM
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Electric Field of a Dielectric Sphere

Use Gauss's Law to find the field in the two regions.


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