A microstrip patch antenna operating at \(2 \mathrm{GHz}\) has an efficiency of
\(66 \%\) and an antenna gain of \(8 \mathrm{dBi}\). The power input to the
antenna is \(10 \mathrm{~W}\).
(a) What is the power, in \(\mathrm{dBm}\), radiated by the antenna?
(b) What is the equivalent isotropic radiated power (EIRP) in watts?
(c) What is the power density, in \(\mu \mathrm{W} / \mathrm{m}^{2},\) at \(1
\mathrm{~km}\) if ground effects are ignored?
(d) Because of multipath effects, the power density drops off as \(1 / d^{4}\),
where \(d\) is distance. What is the power density, in \(\mathrm{nW} /
\mathrm{m}^{2},\) at \(1 \mathrm{~km}\) if the power density is \(100 \mathrm{~mW}
/ \mathrm{m}^{2}\) at \(10 \mathrm{~m}\) from the transmit antenna?