All Questions
6
questions
3
votes
3
answers
571
views
How does Kirchhoff's voltage law relate to the spatial derivative of voltage?
I'm reading this libretexts article on the basics of transmission line theory. In it, they include this circuit diagram as a model of a uniform transmission line:
They then say that applying ...
3
votes
1
answer
455
views
Why are Cauchy boundary conditions an over-specification of boundary conditions for solving Poisson’s equation?
I was referred to Physics.SE by the following content published in Jackson’s Classical Electrodynamics:
This rather surprising result [the fact that the potential within a charge-free volume is ...
3
votes
1
answer
294
views
Formal Connection Between Symmetry and Gauss's Law
In the standard undergraduate treatment of E&M, Gauss's Law is loosely stated as "the electric flux through a closed surface is proportional to the enclosed charge". Equivalently, in differential ...
5
votes
1
answer
596
views
Different possible solutions for the wave equation?
The Wave equation is:
$$\nabla^2\psi(\mathbf{x},t)-\frac{1}{c}\frac{\partial^2 \psi(\mathbf{x},t)}{\partial t^2}=f(\mathbf{x},t)$$
The Green function is then
$$\nabla^2G(\mathbf{x},t)-\frac{1}{c}\...
1
vote
0
answers
148
views
Boundary conditions for 2D helical waveguide
I'm interested in looking at standing wave solutions for the wave equation on a 2D annulus, with the twist that the annulus is "streched" in to a helix in 3D, but so that the rings themselves are 2-...
10
votes
2
answers
8k
views
Greens function in EM with boundary conditions confusion
So I thought I was understanding Green's functions, but now I am unsure. I'll start by explaining (briefly) what I think I know then ask the question.
Background
Greens are a way of solving ...