What is the maximum distance a radar can detect objects on the Earth's surface?

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Homework Help Overview

The discussion revolves around determining the maximum distance a radar can detect objects on the Earth's surface, given specific parameters such as radar power, frequency, and height above sea level. The subject area includes radar technology and geometric considerations related to the Earth's curvature.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between radar height and detection distance, with one participant suggesting a specific equation related to the distance to the horizon. Questions arise regarding the derivation and validity of this equation.

Discussion Status

The discussion is active, with participants sharing equations and seeking clarification on their origins. Some guidance has been provided regarding relevant concepts, but no consensus has been reached on the best approach or the underlying principles.

Contextual Notes

Participants are navigating the problem with limited prior experience in similar scenarios, and there is an emphasis on understanding the equations rather than simply applying them.

utkarshakash
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Homework Statement


A radar has power 1kW and is operating at a frequency of 10GHz. It is located on a mountain top of height 500m. The maximum distance upto which it can detect object located on the surface of the earth(Radius of Earth = 6.4*10^6 m) is


Homework Equations



The Attempt at a Solution


I'm not sure what to do here because I'm facing this kind of problem for the first time. Can anyone suggest me some equations to start with?
 
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D = sqrt(2*height*radius) I think
 
Rellek said:
D = sqrt(2*height*radius) I think

This gives me the correct answer but how did you think of this? Can you give some references regarding this equation?
 

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