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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
    E
    = -V

    3. The attempt at a solution
    E
    = 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

    blue_leaf77

    User Avatar
    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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