All Questions
Tagged with electromagnetism mathematical-physics
71
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Effects of Localized Medium Changes on Field Propagation
I've studied various theories related to fields. These theories often include equations describing how the activity of a source is transmitted to other locations. The properties of the medium ...
- 675
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2
answers
156
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Non-orientability in electromagnetism
I'm currently studying E&M and I have a question related to the mathematical formalism of the theory. Electrodynamics depends heavily on the divergence and Stokes's theorem which in their ...
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Charge Density Of A Conducting Strip
I am currently doing a project which requires me to figure out the charge density of a strip. Assume that the strip is isolated in a vacuum.
Assume the strip is 1 dimensional, kind of like a rod. What ...
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37
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Hertzian Dipole: Why is there no longer a phase shift at $\frac\lambda2$? [closed]
Today we learned about the Hertzian Dipole. Out teacher told us that the length of the wire connecting the two capacitor plates is $l=\frac\lambda2$. He also stated that there is a no more phase shift ...
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Free electromagnetic field BV action
I am trying to write down the extended BV-action of the free electromagnetic field in a physicist notation, but I don't find it anywhere. I found the following formula in example 3.1. of the paper ...
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3
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570
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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 ...
- 2,327
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Prandtl boundary layer equations for two-dimensional steady laminar flow of incompressible fluid over a semi-infinite plate are given by [closed]
Prandtl boundary layer equations for two-dimensional steady laminar flow of incompressible fluid over a semi-infinite plate are given by
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Mathematical equivalent of Fundamental nature of charge [closed]
How to mathematically represent the fact that electric charge is a fundamental quantity? i.e. that it cannot be explained in terms of other things, for example, the normal force can be explained as ...
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Classical Green function
What is the physical reason why the classical Green's function is not defined as a principle value integral?
In a recent discussion (Classical Green's function) it was said that the classical ...
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1
answer
106
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Completeness of Landau basis
We know that the Landau Hamiltonian (uniform magnetic field) is diagonalized by wavefunctions $|n,m\rangle,n,m\in \mathbb{N}$ in the symmetric gauge. However, does this set of functions form a "...
- 2,113
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2 magnet bars are placed in same plane and one of them can rotate freely. The relation as system is balanced [closed]
Each magnet is in same plane.
$$ \ell \ll r $$
The magnet1 has been fixed.
The magnet2 can rotate with center of the magnet itself.
$$ \theta_{1} ~~,~~ \theta_{2} :=\text{each angle between the ...
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How are vector quantities in three dimensions (velocity, electric field, etc.) modeled in mathematical physics?
In introductory courses, vectors are defined as objects with direction and magnitude. I guess everyone has arrows in mind when talking about vectors and that's probably the most intuitive description, ...
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Permissible Electrostatic Potential
Let us consider a $1D$ real function $V(x)$. When is this a classical electrostatic potential?
My take on the problem:
$V(x)$ must be differentiable everywhere. In fact, we should be able to ...
- 785
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2
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111
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Linking the de Rham bundle/complex over spacetime to the gauge bundle
In some textbooks, the Maxwell equations are stated in a very simple mathematical form (up to multiplicative constants coming from the system of units being used):
$$ \begin{array} \mbox{d}F =0, \\ \...
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Source for Learning? [duplicate]
I am an very ameteur mathematician and physicst (If I can say mathematician and physicst to myself xD). I want to learn topics in physics. Like electromagnetism, mechanic, thermodinamics etc. But I ...