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cuallito
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Is it possible to polarize an EM wave in the time direction as you would in any of the spatial dimentions?
EM wave polarized in the time direction?
AI Thread Summary
Polarizing an electromagnetic (EM) wave in the time direction is not feasible as time is not a vector quantity and lacks directional degrees of freedom. While photons can be polarized in four directions, the longitudinal and time-like polarizations only manifest as virtual particles. This limitation highlights the fundamental differences between spatial and temporal dimensions in physics. Consequently, the concept of time-based polarization remains theoretical and not applicable in practical scenarios. Understanding these distinctions is crucial for further exploration in electromagnetic theory.
I'm thinking about the following problem. I have an electrified fluid with a constant charge density, Q, within the fluid. Will this necessarily yield a surface charge?
Would I have to compute it by looking at the displacement fields on either side of the interface? Would it change if the bulk charge within the fluid remains constant?
This is from Griffiths' Electrodynamics, 3rd edition, page 352.
I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##.
In matrix form, this tensor should look like this...
Please can anyone either:-
(1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges?
Or alternatively (2) point out where I have gone wrong in my method?
I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula.
Here is my method and results so far:-
This...
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