Calculating Dish Resolution at 4 GHz with 3m Diameter - Homework Problem

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SUMMARY

The discussion focuses on calculating the resolution of a dish operating at a frequency of 4 GHz with a diameter of 3 meters. The relevant equation for determining the limiting angle of resolution of a circular aperture is confirmed as x = 1.22(y GHz / D). By substituting the values into the equation, the calculated resolution is determined to be 1.63 degrees. The user seeks confirmation on the correctness of the equation and its application in this context.

PREREQUISITES
  • Understanding of the equation for limiting angle of resolution
  • Basic knowledge of circular apertures in optics
  • Familiarity with frequency and wavelength relationships
  • Ability to perform unit conversions between GHz and meters
NEXT STEPS
  • Research the derivation of the limiting angle of resolution equation
  • Learn about the relationship between frequency, wavelength, and resolution in optics
  • Explore practical applications of dish resolution in telecommunications
  • Investigate the effects of dish diameter on resolution performance
USEFUL FOR

Students in physics or engineering, optical engineers, and anyone involved in antenna design or telecommunications who needs to understand the principles of resolution in circular apertures.

wakejosh
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Homework Statement

A dish operates at a frequency of 4 GHz and has a diameter of 3 m. What is its resolution?



Homework Equations


my take home quiz referres me to a page number in my book for the equation, but I have an older book so I can't find it. i think it is the equation for the Limiting angle of resolution of a circular aperture, but I am not sure. something like:
x = 1.22(y GHz/ D) is this what I am looking for?


The Attempt at a Solution


If I try it with this equation I get: 1.63 degrees. any help is appreciated. thanks.
 
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x = 1.22(y GHz/ D) is this what I am looking for?

As long as "y GHz" means the wavelength.
 

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