Em wave incident on a surface current

[metalrose]

Consider an infinite sheet of surface current described by the surface current density , K=dI/dl, where dl is a length element perpendicular to the current.

For this sheet, the magnetic field B=μK/2, above and below the sheet, independent of the distance from the sheet, where μ is for free free space.
The dirction of B is parallel to the sheet and perpendicular to the current flow.

Now if a plane em wave approaches such a surface, does the B vector of the em wave always satisfy the above equation, independent of separation from the sheet?

I doubt so, since the magnitude of the B vector of the em wave depends on the source of the wave.

But if B vector of em wave doesn't satisfy the eq. B=μK/2, then B has values different from this value, above and below the sheet, which would be inconsistent with the amperes law, using which B=μK/2 has been derived for the sheet in the first place.

Where am i going wrong ??

 

[gtoguy97]

The answer to your question is that the B vector of the EM wave will not always satisfy the equation B=μK/2. This is because the magnitude of the B vector of the EM wave depends on the source of the wave, which can be different from the surface current density. For example, if the EM wave is coming from an antenna, then the magnitude of the B vector of the EM wave will be determined by the power of the antenna and not by the surface current density.