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Results tagged with electromagnetism
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user 260986
The classical theory of electric and magnetic fields, both in the static and dynamic case. It also covers general questions about magnets, electric attraction/repulsion, etc. Distinct from electrical-engineering.
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Physical explanation of the non-analyticities in the ising model in the vicinity of zero ext...
In the Ising model when $T<T_C$ with $T_C$ being the Curie temperature, there is a finite jump of the mean magnetization per spin, $m$, as the external field crosses $0$ (goes from negative values to …
- 261
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Polar molecule in external electric field - problem with the Fourier transform
I have a problem where I am considering a polar molecule with dipole vector $\vec{p}$ moving in a plane and exposed to an electric field, so that the interaction potential is:
\begin{equation}\tag{1} …
- 261
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Poynting vector for a plane wave in a medium with relative permittivity $\varepsilon_r$
The time-averaged Poynting vector can be written:
$$\tag{1}
\langle \boldsymbol{S}(\boldsymbol{r})\rangle=\frac{1}{2} \operatorname{Re}\left\{\boldsymbol{E}(\boldsymbol{r}) \times \boldsymbol{H}^{*}(\ …
- 261
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Electric field on test charge due to dipole
In worked example 4.1 of Intermolecular and Surface Forces by Jacob Israelachvili, he is calculating the electric field on a test charge due to the dipole shown in the picture.
He assumes $r\gg l$ and …
- 261
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Light traveling in glass transmitted through an air gap
Consider a plane wave traveling in glass incident on a small air-gap. The situation is illustrated below (reflected fields omitted) for arbitrary materials.
My professor derived the expression for th …
- 261
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votes
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answer
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Free-space dyadic Green function
My professor derived the free-space dyadic Green function from the general Green function:
$$\tag{1}
\stackrel{\leftrightarrow}{\boldsymbol{G}}=\left[\stackrel{\leftrightarrow}{\mathbb{I}}+\frac{1}{k^ …
- 261