The power radiated by a lossless antenna is 10 watts. The directional characteristics of the antenna are represented by the radiation intensity of (a) U = B, cos² 0 (b) U = B, cos³] (watts/unit solid angle) (0≤0≤/2,0≤ ≤2π) For each, find the (a) maximum power density (in watts/square meter) at a distance of 1,000 m (assume far- field distance). Specify the angle where this occurs. (b) exact and approximate beam solid angle Qд. (c) directivity, exact and approximate, of the antenna (dimensionless and in dB). (d) gain, exact and approximate, of the antenna (dimensionless and in dB).