1. A point charge q moves along the trajectory described by
r(t)=d [i
cos(wt) cos (alpha t)+j
sin(alpha t)]
where d, w and alpha are constants. If there
is an electric dipole momentum p(t)=Re(p exp(-iw_0 t)),then the electric
dipole radiated power angular distribution is given by
(click here for the
expression).
a) What are the frequencies
of electric dipole radiation from this moving charge?
b) For each frequency, find pwhich is to be used in the above
power distribution formula.
c) Find the power distribution for
each of the frequencies found in part a).
2. Starting with eq. (9.16) and (9.17) obtain eqs.
(9.18),
(9.19) and (9.20).