Consider the power dissipation term, E · Jdv, in Poynting’s theorem (Eq. (70)). This gives the power lost to heat within a volume into which electromagnetic waves enter. The term pd = E · J is thus the power dissipation per unit volume in W/m3. Following the same reasoning that resulted in Eq. (77), the time-average power dissipation per volume will be < pd >= (1/2)Re ( Es · J∗ s ) . (a) Show that in a conducting medium, through which a uniform plane wave of amplitude E0 propagates in the forward z direction
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