Suppose that an electromagnetic wave which is linearly polarized along the x-axis is propagating in vacuum along the z-axis. The wave is incident on a conductor which is placed at z > 0 region of the space. The conductor has conductivity σ, magnetic permeability µ and electric permittivity ε.
(a) Find the characteristic time for the free charge density which dissipates at the conductor.
(b) Write the Maxwell equations and derive the wave equation for a plane wave propagating in a conductor.
(c) Find the attenuation distance at which the incident amplitude reduces to e ^-1 of its initial value.
(d) Find the electric and magnetic fields inside the conductor. 8 (e) Find the power loss per area of the incident electromagnetic wave at the surface of conductor.
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