How did they get 10000 in working below? Why is the lobe at -10dB?

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Question
How did they get 10000 in working below? Why is the lobe at -10dB?
A 6 GHz common-carrier microwave communications link uses a tower-mounted antenna with a gain
of 40 dB, and a transmitter power of 5 W. To evaluate the radiation hazard of this system, calculate the
power density at a distance of 20 m from the antenna. Do this for a position in the main beam of the
antenna, and for a position in the side lobe region of the antenna. Assume a worst-case side lobe level
of -10 dB.
Note: The recommended safe power density is as low as 0.2 mW/cm² at the lower RF range of around
100 MHz because the fields penetrate the body more deeply at lower frequencies. Above 15 GHz the
power density limit rises to 10 mW/cm². At 6 GHz the safe limit is 1.2 mW/cm².
Transcribed Image Text:A 6 GHz common-carrier microwave communications link uses a tower-mounted antenna with a gain of 40 dB, and a transmitter power of 5 W. To evaluate the radiation hazard of this system, calculate the power density at a distance of 20 m from the antenna. Do this for a position in the main beam of the antenna, and for a position in the side lobe region of the antenna. Assume a worst-case side lobe level of -10 dB. Note: The recommended safe power density is as low as 0.2 mW/cm² at the lower RF range of around 100 MHz because the fields penetrate the body more deeply at lower frequencies. Above 15 GHz the power density limit rises to 10 mW/cm². At 6 GHz the safe limit is 1.2 mW/cm².
A
Tower mounted
antenna
20m
S = Gt Pt
47 R²
Lobe at -10 dB
=
f = 6GHZ
G=40dB
P₁ = 5W
R= 20m
10 000 x5
47 (201²
S: 0.1m w/cm²
= 9.947 w/m²
9.947x0³
104
≈ /mw/cm²
=
mW/cm²
Transcribed Image Text:A Tower mounted antenna 20m S = Gt Pt 47 R² Lobe at -10 dB = f = 6GHZ G=40dB P₁ = 5W R= 20m 10 000 x5 47 (201² S: 0.1m w/cm² = 9.947 w/m² 9.947x0³ 104 ≈ /mw/cm² = mW/cm²
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