A satellite transponder has a gain of 45 dB. The receiving and transmitting antenna has a gain of 20 dB and 25 dB each. If the receiving antenna receive a signal power of 20 µW from the earth transmitter, calculate: - i. the output power of the satellite transmitting antenna. (2 marks) i. The uplink receiver frequency if the downlink frequency is 4080 MHz. Assume a local-oscillator frequency of 2 GHz. (4 marks) i. The maximum theoretical data rate if a standard 36 MHz bandwidth transponder is used for binary transmission. (2 marks) v. The actual azimuth if the radial position of this satellite is at 130°. (2 marks)

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1. Consider a cylindrical plasma device with the fol-
lowing profiles of MHD fluid parameters:
Holo
27 r2 + rỗ"
Be(r)
Io
J(r)
T (r2 + r¿)²'
p(r)
87² (r² + r3)²’
where Io is the total plasma current and ro is the plasma scale
length. Here B, J, p are magnetic flux density, current density
and pressure, respectively.
(1) Prove that these profiles satisfy the Z-pinch equilibrium.
(2) Explain the force balance around r = ro.
Transcribed Image Text:1. Consider a cylindrical plasma device with the fol- lowing profiles of MHD fluid parameters: Holo 27 r2 + rỗ" Be(r) Io J(r) T (r2 + r¿)²' p(r) 87² (r² + r3)²’ where Io is the total plasma current and ro is the plasma scale length. Here B, J, p are magnetic flux density, current density and pressure, respectively. (1) Prove that these profiles satisfy the Z-pinch equilibrium. (2) Explain the force balance around r = ro.
A satellite transponder has a gain of 45 dB. The receiving and transmitting antenna
has a gain of 20 dB and 25 dB each. If the receiving antenna receive a signal power
of 20 µW from the earth transmitter, calculate: -
i.
the output power of the satellite transmitting antenna.
(2 marks)
i.
The uplink receiver frequency if the downlink frequency is 4080 MHz. Assume
a local-oscillator frequency of 2 GHz.
(4 marks)
ii.
The maximum theoretical data rate if a standard 36 MHz bandwidth
transponder is used for binary transmission.
(2 marks)
iv.
The actual azimuth if the radial position of this satellite is at 130°.
(2 marks)
Transcribed Image Text:A satellite transponder has a gain of 45 dB. The receiving and transmitting antenna has a gain of 20 dB and 25 dB each. If the receiving antenna receive a signal power of 20 µW from the earth transmitter, calculate: - i. the output power of the satellite transmitting antenna. (2 marks) i. The uplink receiver frequency if the downlink frequency is 4080 MHz. Assume a local-oscillator frequency of 2 GHz. (4 marks) ii. The maximum theoretical data rate if a standard 36 MHz bandwidth transponder is used for binary transmission. (2 marks) iv. The actual azimuth if the radial position of this satellite is at 130°. (2 marks)
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