Vector potential of a plate with a uniform, time-harmonic current density

[Veronika]

Hi all,

i tried to do this question but got stuck on the last point . Can anyone help me please?

The general form of vector potential:

I got the answer for A1 vector potential but don't know what assumptions i need to get the expression for the A2. Does anyone know how one can derive it?

Thank you , Veronika

 

[jasonRF]

I believe what they are asking you to do is first find an expression for A2 using the same approximations as you used for A1, then determine under what conditions your expression is well approximated by their expression.

By the way, these kinds of approximations are incredibly useful and engineers use them all of the time when analyzing practical antenna systems.