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Homework Help: Two quick questions conerncing potential and dielectric

  1. Jul 17, 2013 #1
    Hi everyone,

    I have a question about electric potentials and dielelectrics:

    1. when I have a dielectri in the half space x<0 and air in x>0 is the potential steady at x=0?

    2. does a potential depend on the relative permittivity ?

    I know that the electric field gets weaker in a dielectric with 1/epsilon_r but what about the potential? I'm not sure here.

    Thanks for your help in advance.
  2. jcsd
  3. Jul 17, 2013 #2
    1. What electric field is applied?
    2. Yes, it does in the same way as electric field.
  4. Jul 17, 2013 #3
    lets just talk about a general potential like

    [tex] \Phi (\vec r) = \frac {1}{4\pi \epsilon_0} \frac {q}{|\vec r -\vec r_0|}[/tex] for x >0 and for x<0 the same one (+ epsilon_r for the permittivity).

    are these potentials steady at x=0 ?
  5. Jul 17, 2013 #4
    This is a potential from a point charge. It's value changes along X axis.
    Last edited: Jul 17, 2013
  6. Jul 17, 2013 #5


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    Homework Helper

    The electrostatic potential is continuous at the interface of two media. In your problem, it is the same at x=0 at both sides of the boundary.

  7. Jul 17, 2013 #6
    thank you very much.
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