Consider the linear antenna oriented along the z direction current given by I(z)=I0 cos(p z/d), with |z| less or equal d/2. The length of the antenna is d.
(a) Find the linear charge density r(z) (assume the time dependence is governed by the frequency w, as usual).
(b) Find dP/dW in terms of the impedance of free space Z0, the current amplitude I0, the wavevector k, and d.
(c) Find the total power radiated.
(d) From the plane waves produced by this oscillating electric dipole, consider those propagating along the positive y-axis. In what direction points the magnetic field H and in what direction the electric field E?