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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 ...
Mikayla Eckel Cifrese's user avatar
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 ...
ThePhantomE's user avatar
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 ...
TheMac's user avatar
  • 130
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}\...
DrManhattan's user avatar
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-...
MattyZ's user avatar
  • 300
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 ...
Fire's user avatar
  • 585