Hi all, new to the forums.(adsbygoogle = window.adsbygoogle || []).push({});

Anyways I had a day off and decided to try something quirky with maxwells equations.

Using the Ampere-Maxwell equation, I tried to solve for the magnetic field that would be created by a <0,0,t> Electric field. (No current and no magnetic materials)

∇ x B = εμ(∂E/∂t)

∇ x B = εμ<0,0,1> (Pardon the bad notation)

∇ x B=< ∂Bz/∂y-∂By/∂z , ∂Bx/∂z-∂Bz/∂x , ∂By/∂x-∂Bx/∂y >

Equating the components, we have:

∂Bz/∂y=∂By/∂z

∂Bx/∂z=∂Bz/∂x

∂By/∂x-∂Bx/∂y=1

Here's the problem, How do I solve this mess?

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# Solving for Magnetic Fields from time varying Electric fields

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