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Find the magnetic field, as well as the electric current and charge density in the region between the plates. So far, I've used Faraday's Law to find the magnetic flux density. Then, I used Ampere's Law to relate the magnetic field and electric flux density both known quantities at this point to find the current density J.
However, the J that I have points in the z direction which is orthogonal to the normal vector of the surface of the parallel plates which means that the current should be zero since integrating the current density over a closed surface gives the current.
However, I have a gut feeling that there should at least be some current. I know that the divergence of the electric flux density Gauss's Law for electric field densities should give the charge density, but since the divergence of E is zero, I'm thinking that the charge density is also zero.
Basically, my issue is that I'm iffy about whether or not there should be current anywhere between these two plates. Am I missing something? Also, is my assumption that the charge density is zero correct? Your assumption is correct, and since you've computed for the charge density, it's not really an assumption. As for the current, the direction you've found is actually possible. What your result is saying is that the current flows along the surface of the plates.
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Mar 03, · Our Maxwell’s equations Homework Help services discuss each one of these equations in details. Laws of Maxwell’s equations: When you are learning Maxwell’s equations, you will need to know –/5().
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Aug 05, · Hello I know that maxwells equations are consistent with relativity. The following thought experiment seems to imply otherwise so I am wondering where my mistake lies. Physics Forums | Science Articles, Homework Help, Discussion. Forums > Physics > General Physics > Limited time only! Sign up for a free 30min personal . Answer to Maxwells Equation. Please explain step by step, how to convert maxwells equations to maxwells wave equation (mathmatica.
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