**Problem 1** [40 points]
Consider a point charge q moving in a circular orbit of radius R, centered about the origin in the xy plane. The charge is orbiting counterclockwise with an angular velocity ω . Working within the *electric dipole approximation*:

a) Compute the radiated electric and magnetic fields, expressing your answer in terms of spherical coordinates. Make sure your answers are given as *real valued* functions!

b) What is the polarization of the outgoing radiation at a general spherical angle (θ,φ)? What is the polarization when θ=0? when θ=π/2?

*Hint*: The trick to doing this problem easily is to figure out how to write the oscillating dipole moment as **p**(t)=Re [**p**_{ω}e^{-iωt}], with the correct amplitude **p**_{ω}.