What is the Magnetic Field Between Parallel Plate Electrodes?

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SUMMARY

The magnetic field between two parallel plate electrodes carrying a current J is described by the formula B_z (y,z)=\frac{\mu J}{2\pi d}(\vartheta_1+\vartheta_2). This formula derives from the magnetic field generated by a single plate, represented as B_z (y,z)=\frac{\mu J}{2\pi d}\vartheta. The discussion highlights the challenge of applying Maxwell's equations to derive this result and clarifies that \vartheta is a TeX command representing the lowercase Greek letter theta.

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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:

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

(see attached figure)

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

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

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

\theta [tex]\Rightarrow\,\,\theta[/tex]
\vartheta [tex]\Rightarrow\,\,\vartheta[/tex]
 
Last edited:

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