(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Electric field of a plate

1. The problem statement, all variables and given/known data

Find the electric field a distance z above the center of a square loop (side s) carrying a uniform line charge λ (see Figure 1) - it's problem 2 on this page:

http://teacher.pas.rochester.edu/PHY217/Homework/HomeworkSet3/HomeworkSet3.html

3. The attempt at a solution

Ok, first I use symmetry, so the horizontal components must cancel for the 4 edges. The vertical component of one edge is given by:

[tex]\frac{2}{{4\pi \varepsilon }}\int\limits_{x1 }^{x2 } {\frac{\lambda }{{\left( {x^2 + z^2 } \right)}}} \cos \phi dx[/tex],

where cos(\phi) = z / sqrt(x^2+z^2) so x1 = s/2 and x2=s/sqrt(2) since these are the minimal and maximal values of x.

Pay attention to that I have multiplied with 2, so we find the one whole edge, not just the half of one edge. I integrate, and multiply it all with 4 to give the correct result.

Am I correct?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Electric field of a plate

**Physics Forums | Science Articles, Homework Help, Discussion**