Could you please assist with the problem attached? Thank you.
Maxwell's equations for a homogeneous, isotropic, uncharged medium of conductivity, relative permittivity, and relative permeability lead to the expression: (see attachment)
where E is the electric field. A linearly polarized plane wave of angular frequency w is travelling in air in the positive z direction and its electric field is in the x direction. The radiation is incident normally on a conducting medium at z=0. In the low frequency limit, the equation above is reduced to: (see attachment)
Show that this equation has solutions of the form of....
and hence, or otherwise, show that the impedance of the material is...
where Z0 is the impedance of free space.
The explanations are in the pdf file.
I have corrected a typo in the sign of equation (2) ...
This solution shows step-by-step calculations to find the impedance of conducting medium and free space of a homogeneous, isotropic, uncharged medium of conductivity, relative permittivity and relative permeability.