1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Boundary Conditions for an Infinite Conducting Sheet

  1. Mar 27, 2012 #1
    If we place an infinite conducting sheet in free space, and fix its potential to [itex]\varphi_0[/itex], how do we solve solve for the potential on either side of the sheet? Since the potential blows up at infinity, it seems impossible to define boundary conditions.
  2. jcsd
  3. Mar 30, 2012 #2
    Yes, the potential does blow up at infinity, but this is not a problem with the physics because there are nor infinite conducting sheets in the physical world. To solve the problem mathematically, you would use Gauss's law with a Gaussian pillbox straddling the surface rather than formulate it as a electric potential boundary problem (what would be your boundary, anyways).
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook