ISRO Electronics & Communication (ECE) 2018 - Question 9

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Topic: Satellite Communication

A satellite transmits signals at a frequency of 6 GHz to a user 40000 km away. The free space path loss incurred by the signal is nearly:

  • A. 100 dB
  • B. 150 dB
  • C. 200 dB
  • D. 300 dB

Answer: C. 200 dB

Explanation: Free Space Path Loss (FSPL) in dB is calculated as $FSPL = 20 \log_{10}(d) + 20 \log_{10}(f) + 32.44$ where $d$ is in km and $f$ is in MHz. Substituting $d = 40000$ km and $f = 6000$ MHz, $FSPL = 20\log_{10}(40000) + 20\log_{10}(6000) + 32.44 = 92.04 + 75.56 + 32.44 \approx 200$ dB.

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