Surface Current and Electric Field

In summary, the conversation discusses a question about finding the surface charge and current density of two infinite sheets of ideal conductive material. The person asking the question has tried using the integral Gauss law in 2 dimensions and the derivative version, but has not been successful. They are now considering the possibility of the electric field being caused by a propagating electromagnetic wave.
  • #1
BnayaMeir
1
0
Thread moved from the technical forums to the schoolwork forums
Hi everyone!

I'm pretty new in this forum, I found the topics here very relevant to my physics course. And here is my question:

Given the following drawing, two infinite sheets (in y and z axis) of ideal conductive material. their thickness is infinitesimal (dx->0).

Screenshot 2022-04-26 152843.png


The electric field is defined:

Screenshot 2022-04-26 160051.png

I have askes to find the surface charge and current density.

well.. I tried to apply the integral gauss law
1650978402507.png
but in 2 dimensions (didn't work).
I have also tries the derivative version of the law
1650978512678.png
which gave me zero. it looks right for me, since the electric field should be perpendicular to the surface. but the only electric field is parallel to the surfaces. Then where this field is come from?? I'm very confused..

I thought to find the current density after finding the charge density by the following equation in 2-D:
1650978895539.png


I hope you will be able to help me, thanks a lot!
 
Physics news on Phys.org
  • #2
Have you considered that this could be the electric field of a propagating electromagnetic wave?
 
  • Like
Likes PhDeezNutz
Back
Top