3.4 A DBS-TV receiving antenna has a circular aperture with a diameter of 0.6 m and operates at a center frequency of 12.2 GHz. The antenna has an aperture efficiency of 70%. a. Calculate the wavelength at 12.2 GHz. b. Calculate the gain of the antenna in decibels using the most accurate formula. c. Estimate the beamwidth of the antenna in degrees. d. Estimate the gain of the antenna in decibels using an approximation based on the beamwidth you found in part (c). If this figure does not agree with your result in part (b) explain why.

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3.4 A DBS-TV receiving antenna has a circular aperture with a diameter of 0.6m
and operates at a center frequency of 12.2 GHz. The antenna has an apcrture
efficiency of 70%.
a. Calculate the wavclength at 12.2 GHz.
b. Calculate the gain of the antenna in decibels using the most accurate formula.
c. Estimate the beamwidth of the antenna in degrees.
d. Estimate the gain of the antenna in decibels using an approximation based on
the beamwidth you found in part (c). If this figure does not agree with your
result in part (b) explain why.
Transcribed Image Text:3.4 A DBS-TV receiving antenna has a circular aperture with a diameter of 0.6m and operates at a center frequency of 12.2 GHz. The antenna has an apcrture efficiency of 70%. a. Calculate the wavclength at 12.2 GHz. b. Calculate the gain of the antenna in decibels using the most accurate formula. c. Estimate the beamwidth of the antenna in degrees. d. Estimate the gain of the antenna in decibels using an approximation based on the beamwidth you found in part (c). If this figure does not agree with your result in part (b) explain why.
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