All Problems

Electromagnetic Waves. Radiation

Problem 4.217

A charged particle moves along the yy axis according to the law y=acosωt,y=a \cos \omega t, and the point of observation PP is located on the xx axis at a distance ll from the particle (la)(l \gg a). Find the ratio of electromagnetic radiation flow densities S1/S2S_{1} / S_{2} at the point PP at the moments when the coordinate of the particle y1=0y_{1}=0 and y2=ay_{2}=a. Calculate that ratio if ω=3.3106 s1\omega=3.3 \cdot 10^{6} \mathrm{~s}^{-1} and l=190 ml=190 \mathrm{~m}.

Reveal Answer
S1/S2=tan2(ωl/c)=3S_{1} / S_{2}=\tan ^{2}(\omega l / c)=3