(b) Polarization of the antenna (including axial ratio and sense of rotation, if any). You must justify (state why?). (c) Polarization loss factor (dimensionless and in dB). The power radiated by a lossless antenna is 10 watts. The directional charac- teristics of the antenna are represented by the radiation intensity of (a) U = B, cos²01 (watts/unit solid angle) (b) U = B, cos³ e (0 < θ < π/2, 0 < φ = 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 ₁. What are the near field and far field of an antenna? What are their major differences? 4 Find the far-field condition of a satellite dish antenna of dimension 60 cm operating 5 at 12 GHz. A λ/2 dipole, with a total loss resistance of 1 ohm, is connected to a generator whose internal impedance is 50+ j25 ohms. Assuming that the peak voltage of the generator is 2 V and the impedance of the dipole, excluding the loss 6 resistance, is 73+ j42.5 ohms, find the power (a) supplied by the source (real) (b) radiated by the antenna (c) dissipated by the antenna 7 Two lossless, polarization-matched antennas are aligned for maximum radiation between them, and are separated by a distance of 50%. The antennas are matched to their transmission lines and have directivities of 20 dB. Assuming that the power at the input terminals of the transmitting antenna is 10 W, find the power at the terminals of the receiving antenna. 3

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if any).
why?).
(b) Polarization of the antenna (including axial ratio and sense of rotation, if
any). You must justify (state why?).
(c) Polarization loss factor (dimensionless and in dB).
The power radiated by a lossless antenna is 10 watts. The directional charac-
teristics of the antenna are represented by the radiation intensity of
(a) U = B, cos² e
(watts/unit solid angle)
(b) U = B, cos³ 0)
(0 ≤0 ≤π/2,0 ≤ ≤ 2л)
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 №.
What are the near field and far field of an antenna? What are their major differences?
4
Find the far-field condition of a satellite dish antenna of dimension 60 cm operating
5 at 12 GHz.
A λ/2 dipole, with a total loss resistance of 1 ohm, is connected to a generator
whose internal impedance is 50+ j25 ohms. Assuming that the peak voltage
of the generator is 2 V and the impedance of the dipole, excluding the loss
6 resistance, is 73 + j42.5 ohms, find the power
(a) supplied by the source (real)
(b) radiated by the antenna
(c) dissipated by the antenna
7
Two lossless, polarization-matched antennas are aligned for maximum radiation
between them, and are separated by a distance of 502. The antennas are matched
to their transmission lines and have directivities of 20 dB. Assuming that the
power at the input terminals of the transmitting antenna is 10 W, find the power
at the terminals of the receiving antenna.
3
Transcribed Image Text:if any). why?). (b) Polarization of the antenna (including axial ratio and sense of rotation, if any). You must justify (state why?). (c) Polarization loss factor (dimensionless and in dB). The power radiated by a lossless antenna is 10 watts. The directional charac- teristics of the antenna are represented by the radiation intensity of (a) U = B, cos² e (watts/unit solid angle) (b) U = B, cos³ 0) (0 ≤0 ≤π/2,0 ≤ ≤ 2л) 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 №. What are the near field and far field of an antenna? What are their major differences? 4 Find the far-field condition of a satellite dish antenna of dimension 60 cm operating 5 at 12 GHz. A λ/2 dipole, with a total loss resistance of 1 ohm, is connected to a generator whose internal impedance is 50+ j25 ohms. Assuming that the peak voltage of the generator is 2 V and the impedance of the dipole, excluding the loss 6 resistance, is 73 + j42.5 ohms, find the power (a) supplied by the source (real) (b) radiated by the antenna (c) dissipated by the antenna 7 Two lossless, polarization-matched antennas are aligned for maximum radiation between them, and are separated by a distance of 502. The antennas are matched to their transmission lines and have directivities of 20 dB. Assuming that the power at the input terminals of the transmitting antenna is 10 W, find the power at the terminals of the receiving antenna. 3
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