From Partial Differential Equations: An Introduction, by Walter A. Strauss; Chapter 1.5, no.4 (b).
Homework Statement
"Consider the Neumann problem
(delta) u = f(x,y,z) in D
\frac{\partial u}{\partial n}=0 on bdy D."
"(b) Use the divergence theorem and the PDE to show that...
Wouldn't the radial component be E_{x}, & depend only on y and x, since this is a strictly 2-dimensional problem?
Using the hyperphysics site and the setup you see in the picture, I got:
dE_{x} = \frac{\lambda xdy}{4\pi\epsilon r^{2}r}
E_{x} =...
Homework Statement
Two line charges of the same length L are parallel to each other and located in the xy plane. They each have the same linear charge density λ=constant. Find the total force on II due
to I.
Homework Equations
F =QE
Q = \lambdaL
E = ? This is where I'm stuck.
The...