The radius of a sphere oscillates as a function of time as R + a cos ωt, with a < R. It carries a charge Q uniformly distributed on its surface at all times. If P is the time averaged radiated power through a sphere of radius r, such that r >> R + a and r >> \(\frac{c}{\omega}\), then
1
\(P \propto \frac{Q^2 \omega^4 a^2}{c^3}\)
2
\(P \propto \frac{Q^2 \omega^2}{c}\)
3
P = 0
4
\(P \propto \frac{Q^2 \omega^6 a^4}{c^5}\)