Magnetic Field Calculation

airbuzz

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...

Attached Thumbnails

 

eys_physics

Can you explain [tex]\vartheta[\tex] means?

airbuzz

it is a TeX command to write theta in that way.

\theta [tex]\Rightarrow\,\,\theta[/tex]
\vartheta [tex]\Rightarrow\,\,\vartheta[/tex]