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Electromagnetic Waves. Radiation

Problem 4.197

A plane harmonic electromagnetic wave with plane polarization propagates in vacuum. The electric component of the wave has a strength amplitude Em=50mV/m,E_{m}=50 \mathrm{mV} / \mathrm{m}, the frequency is vv =100MHz=100 \mathrm{MHz}. Find: (a) the efficient value of the displacement current density; (b) the mean energy flow density averaged over an oscillation period.

Reveal Answer
 4.197. (a) jdis=π2ε0vEm=0.20 mA/m2\begin{array}{lll}\text { 4.197. (a) } j_{d i s}=\pi \sqrt{2 \varepsilon_{0}} v E_{m}=0.20 & \mathrm{~mA} / \mathrm{m}^{2}\end{array} (b) ⟨S⟩=\langle S\rangle= =1/2ε0cEm2=3.3μW/m2=1 / 2 \varepsilon_{0} c E_{m}^{2}=3.3 \mu \mathrm{W} / \mathrm{m}^{2}
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