Two identical point charges q are fixed to the ends of a rod of length 2 which rotates with constant angular velocity 1/2ω in the x-y plane about an axis perpendicular to the rod and through its center.

(a) Calculate the electric dipole moment p(t). Is there electric dipole radiation?
(b) Calculate the magnetic dipole moment m(t). Is there magnetic dipole radiation?
(c) Show that the electric quadrupole moment is

(d) Show that the time-averaged angular distribution of radiated power is

where θ is the polar angle measured from the z-axis.

Transcribed Image Text:

Q(t) = /ql² 1 + cos wt sin ot 0 0 8]. 0 sin cot 1 - cos at 0 0