An antenna has a directive gain of 25 dB. If the antenna is transmitting at a frequency of 10 GHz, then what will be the effective aperture of the antenna?
An antenna has a directive gain of 25 dB. If the antenna is transmitting at a frequency of 10 GHz, then what will be the effective aperture of the antenna?
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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An antenna has a directive gain of 25 dB. If the antenna is transmitting at a frequency of 10 GHz, then what will be the effective aperture of the antenna?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The directive gain of the antenna depends on the effective aperture of the antenna. The relation can be expressed as
![A,
G= 47-
-> (1)
Effective aperture of the antenna
A.
2= Wavelength of radiation](https://content.bartleby.com/qna-images/answer/136f3117-5a21-4b1a-a8c9-a30372b7bf1f/44e4aa85-6d01-4718-a198-e2d55e810c41/k86c0ys.png)
Step 2
In this case, the values of the directive gain of the antenna and the frequency of radiation of the transmitting antenna are given as
![G=25 dB
f =10 GHz](https://content.bartleby.com/qna-images/answer/136f3117-5a21-4b1a-a8c9-a30372b7bf1f/44e4aa85-6d01-4718-a198-e2d55e810c41/0lc4s5q.png)
Step 3
Now, gain in decibels can be expressed as
![G =10log, (G)--->(2)
dB](https://content.bartleby.com/qna-images/answer/136f3117-5a21-4b1a-a8c9-a30372b7bf1f/44e4aa85-6d01-4718-a198-e2d55e810c41/wd4yvyk.png)
Step 4
Using equation (2), the value of the gain in the linear scale will be
![25
G=1010 =10² = 316.23](https://content.bartleby.com/qna-images/answer/136f3117-5a21-4b1a-a8c9-a30372b7bf1f/44e4aa85-6d01-4718-a198-e2d55e810c41/ykmytk.png)
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