s3 - Compen/EE 362 Asst. 3 Solution Spring 2009 Problem...

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Compen/EE 362 Asst. 3 Solution Spring 2009 Problem 1 .Suppose a cable has the attenuation characteristic shown (more negative means more severe attenuation in this graph). For each of the following three cable lengths, at what frequency is the response 3 dB below the response at 50 khz? a. 1 km b. 2 km c. 5 km Solution. a) At one kilometer, attenuation is 5 dB at 50 khz, 10 dB at 200 khz, and 8 dB at 50 + (3/5)*(200-50) = 140 khz. b) At two kilometers, attenuation is 10 dB at 50 khz, 20 dB at 200 khz, and 13 dB at 50 + (3/10)*(200-50) = 95 khz. c) At five kilometers, attenuation is 25 dB at 50 khz, 50 dB at 200 khz, and 28 dB at 50 + (3/25)*(200-50) = 68 khz.
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Problem 2 . A radio signal in free space has its power reduced in proportion to the inverse of the square of the distance from the antenna. Note that this is not the same attenuation behavior as propagation over a transmission line. If a radio signal has been reduced to 20 dB below some reference value after it propagates 20 kilometers, what would its dB loss be relative to the same reference after a) 80 kilometers; b) 200 kilometers?
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s3 - Compen/EE 362 Asst. 3 Solution Spring 2009 Problem...

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