Electrostatic potential inside/outside sphere

  • #1
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Homework Statement


A sphere of radius R carries an electric charge Q, uniformly distributed inside its volume.

(a) Using the expression for the electric field given in the lectures, compute the electrostatic potential V (r) inside and outside the sphere.

Homework Equations


E[/B] = -V

The Attempt at a Solution


E[/B] = Qr/4πεoR3 = -V

VE= - ∫c E . dl

But now I'm really unsure of how you get V from this? Because you can't divide by the gradient function... So do I integrate E = Qr/4πεoR3 to find V?
 
Last edited:

Answers and Replies

  • #2
blue_leaf77
Science Advisor
Homework Helper
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You also need the expression of the field outside the sphere.
VE= - ∫c E . dl
Correct, except for the "C" subscript after the integral, you will not be integrating in a closed loop, instead use the radial property of the field to find V from its gradient.
 

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