2.85. A base station is installed near your neighborhood. One of the concerns of the residents liv- ing nearby is the exposure to electromagnetic radiation. The input power inside the transmis- sion line feeding the base station antenna is 100 Watts while the omnidirectional radiation amplitude pattern of the base station antenna can be approximated by U(0, 4) = B, sin(8) 0s0 s 180°,0 < ¢ S 360° where B, is a constant. The characteristic impedance of the transmission line feeding the base station antenna is 75 ohms while the input impedance of the base station antenna is 100 ohms. The radiation (conduction/dielectric) efficiency of the base station antenna is 50%.

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2.85. A base station is installed near your neighborhood. One of the concerns of the residents liv-
ing nearby is the exposure to electromagnetic radiation. The input power inside the transmis-
sion line feeding the base station antenna is 100 Watts while the omnidirectional radiation
amplitude pattern of the base station antenna can be approximated by
U(0, 4) = B, sin(8)
0s0S 180°,0 < p3 360°
where B, is a constant. The characteristic impedance of the transmission line feeding the
base station antenna is 75 ohms while the input impedance of the base station antenna is 100
ohms. The radiation (conduction/dielectric) efficiency of the base station antenna is 50%.
Determine the:
(a) Reflection/mismatch efficiency of the antenna (in %)
(b) Total efficiency (in %) of the antenna
(c) Value of B,. Must do the integration in closed form and show the details.
(d) Maximum exact directivity (dimensionless and in dB)
(e) Maximum power density (in Watts/cm²) at a distance of 1,000 meters. This may repre-
sent the distance from the base station to your house.
Transcribed Image Text:2.85. A base station is installed near your neighborhood. One of the concerns of the residents liv- ing nearby is the exposure to electromagnetic radiation. The input power inside the transmis- sion line feeding the base station antenna is 100 Watts while the omnidirectional radiation amplitude pattern of the base station antenna can be approximated by U(0, 4) = B, sin(8) 0s0S 180°,0 < p3 360° where B, is a constant. The characteristic impedance of the transmission line feeding the base station antenna is 75 ohms while the input impedance of the base station antenna is 100 ohms. The radiation (conduction/dielectric) efficiency of the base station antenna is 50%. Determine the: (a) Reflection/mismatch efficiency of the antenna (in %) (b) Total efficiency (in %) of the antenna (c) Value of B,. Must do the integration in closed form and show the details. (d) Maximum exact directivity (dimensionless and in dB) (e) Maximum power density (in Watts/cm²) at a distance of 1,000 meters. This may repre- sent the distance from the base station to your house.
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