# Solved Problems-12

Problem-12

A uniform plane wave of frequency â€˜

, R

Calculate this quantity for f = 1 GHz and copper,

*f*â€™ is normally incident from air onto a thick conducting sheet with conductivity*Ïƒ*and*Îµ*=*Îµ*_{0}, Î¼ = Î¼_{0}. Show that the proportion of power transmitted into the conductor (and then dissipated into heat) is given approximately by,, R

_{s}= Surface resistanceCalculate this quantity for f = 1 GHz and copper,

*Ïƒ*= 5.8 âˆž 10^{7}siemens/m.Solution

For a good conductor,
So,
So, the complex characteristic impedance for a good conductor is,
or,

âˆ´ transmission coefficient,

âˆ´ reflection coefficient,

So, the power transmission coefficient is,

For copper at 1 GHz, the power transmission coefficient is,

âˆ´ transmission coefficient,