With regard to Example $8-3($pp$.358-359,6$e; pp$.360-362,7$e; pp$.344-345,8$e$)$:

a$.$ Assuming the copper is a perfect electric conductor $($PEC$),$ determine the surface

current density Js at its surface from the magnetic field boundary conditions. Find

its phasor and its time$-$domain form.

b$.$ Treating the copper not as a PEC, find the electric and magnetic fields inside the

copper. Find their phasor forms and their time$-$domain forms.

c$.$ Using the result of part $($b$),$ find the $$surface current density$$ by integrating the

drift current density J $=$ E throughout the copper: from z $=0($the surface of the

copper$)$ to infinity. That is$,$ find