All Problems

Electromagnetic Waves. Radiation

Problem 4.217

A charged particle moves along the \(y\) axis according to the law \(y=a \cos \omega t,\) and the point of observation \(P\) is located on the \(x\) axis at a distance \(l\) from the particle \((l \gg a)\). Find the ratio of electromagnetic radiation flow densities \(S_{1} / S_{2}\) at the point \(P\) at the moments when the coordinate of the particle \(y_{1}=0\) and \(y_{2}=a\). Calculate that ratio if \(\omega=3.3 \cdot 10^{6} \mathrm{~s}^{-1}\) and \(l=190 \mathrm{~m}\).

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