Order of received power from a GEO communications satellite at the earth station A typical carrier power received at the input of a properly pointed earth-station receiver from a geostationary communications satellite is usually of the order of a few:

Difficulty: Easy

Correct Answer: Picowatts

Explanation:


Introduction / Context:
Despite large Effective Isotropic Radiated Power (EIRP) at the satellite and high-gain earth-station antennas, the enormous free-space path loss over ~36,000 km reduces received carrier power to very small levels.



Given Data / Assumptions:

  • GEO range ~ 3.6 * 10^7 m.
  • Ku/Ka-band links with high gains but large FSPL.
  • Receiver input sees narrowband carrier powers on the order of 10^−12 to 10^−9 W, depending on system.


Concept / Approach:
Friis transmission formula indicates Pr = Pt * Gt * Gr * (lambda / (4 * pi * R))^2. Even with large Gt and Gr, R is so large that Pr is in the pico- to nanowatt range. “A few picowatts” is a common order-of-magnitude description for many GEO downlinks.



Step-by-Step Solution:
Estimate FSPL at, say, 12 GHz and R ≈ 36,000 km.Compute lambda = c/f ≈ 0.025 m; (lambda/(4piR))^2 ~ very small.Combine with typical EIRP and G/T to infer Pr ~ 10^−12…10^−9 W.



Verification / Alternative check:
Link budget examples in textbooks yield received carrier powers typically in the picowatt to nanowatt range for GEO links.



Why Other Options Are Wrong:
Milliwatts/Watts/Kilowatts are many orders of magnitude too large for post-FSPL carrier at LNB input under normal operation. Microjoules are energy units, not power.



Common Pitfalls:
Confusing EIRP with received power; ignoring FSPL magnitude at GEO distances.



Final Answer:
Picowatts

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