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Electrostatic potential inside/outside sphere

  1. Oct 10, 2015 #1
    1. The problem statement, all variables and given/known data
    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.

    2. Relevant equations
    = -V

    3. The attempt at a solution
    = 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: Oct 10, 2015
  2. jcsd
  3. Oct 10, 2015 #2


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    Science Advisor
    Homework Helper

    You also need the expression of the field outside the sphere.
    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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