What is the Magnetic Field Between Parallel Plate Electrodes?

AI Thread Summary
The discussion focuses on the magnetic field generated between two parallel plate electrodes carrying a current J. The magnetic field is expressed as B_z(y,z) = (μJ / 2πd)(θ1 + θ2), derived from the magnetic field of a single plate, B_z(y,z) = (μJ / 2πd)θ. The user seeks clarification on the origin of this formula and how to demonstrate it, mentioning challenges with Maxwell's equations. Additionally, there is a brief explanation of the TeX notation for the theta symbols used in the equations. Understanding the derivation and implications of this formula is crucial for further exploration of electromagnetic theory.
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I have two parallel plate electrodes in which flows a determined current J. I found that the magnetic field between the two electrodes is:

B_z (y,z)=\frac{\mu J}{2\pi d}(\vartheta_1+\vartheta_2}

(see attached figure)

This comes form the field generated by a plate that is:

B_z (y,z)=\frac{\mu J}{2\pi d}\vartheta

Does anybody knows from where come this formula and how to demonstrate it??

I´m just fighting against Maxwell´s equations, but they are winning...
 

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Can you explain \vartheta[\tex] means?
 
it is a TeX command to write theta in that way.

\theta \Rightarrow\,\,\theta
\vartheta \Rightarrow\,\,\vartheta
 
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