Two equal and opposite charges are attached to the ends of a rod of length s. The rod rotates counterclockwise in the x-y plane with angular speed ω = ck. The electric dipole moment of the system at t = 0 has the value p₀ = qs x̂.

(a) Show that the electric field in the radiation zone is

Explain why the observer’s azimuthal angle φ appears in the phase.
(b) Write out the (real) electric field on the positive x-, y-, and z-axes. Identify the state of polarization observed in each case and make a physical argument why each might be expected.
(c) Find the time-averaged rate at which energy is radiated per unit solid angle and the total rate at which energy is radiated to infinity.

Transcribed Image Text:

-9 b- y s/2 s/2 b X