All Problems

Electromagnetic Waves. Radiation

Problem 4.196

Find the mean Poynting vector S\langle\mathbf{S}\rangle of a plane electromagnetic wave E=Emcos(ωtkr)\mathbf{E}=\mathbf{E}_{m} \cos (\omega t-\mathbf{k r}) if the wave propagates in vacuum

Reveal Answer
S=1/2kε0c2Em2/ω\langle\mathbf{S}\rangle=1 /_{2} \mathbf{k} \varepsilon_{0} c^{2} E_{m}^{2} / \omega