1. The problem statement, all variables and given/known data EM Waves propagating through vacuum towards the x-direction approaches a conducting surface at x = 0. Part (a): Prove the following relations. Find the boundary conditions for [tex]E [/tex] and [tex]B[/tex] if charge density [tex]σ[/tex] and current density [tex]s[/tex] exists on the surface. Part (b): Find [tex]B[/tex] in terms of [tex]E_0[/tex] Part (c): Show the reflected wave has the following form: Part (d) Find magnetic field of reflected wave and [tex]s[/tex] 2. Relevant equations 3. The attempt at a solution Part(a) Part(b) Part(c) This is the part that disturbs me. I assumed the free current s = 0 and σ = 0. Usually [tex]k[/tex] would be perpendicular to the surface, making derivations easier. I actually got perpendicular reflected E-field = 0, which is wrong.. But, I got parallel reflected E-field = - incoming parallel E-field, which is right I'm confused - If it's a perfect conductor it should have no free charge or currents, but the question says it does. Then again, in order to derive the reflected e-field, we need to assume they are 0.