A small circular parabolic reflector, often referred to as dish, is now being advertised as a TV antenna for direct broadcast. Assuming the diameter of the antenna is 1 meter, the frequency of operation is 3 GHz, and its aperture efficiency is 68%, determine the following:
(a) Physical area of the reflector (in m2 ).
(b) Maximum effective area of the antenna (in m2 ).
(c) Maximum directivity (dimensionless and in dB).
(d) Maximum power (in watts) that can be delivered to the TV if the power density of the wave incident upon the antenna is 10 ?