## A cable used to send data has an attenuation where power drops by a factor of 10 every 20 km. If the input power is 10 W, and the receiver c

Question

A cable used to send data has an attenuation where power drops by a factor of 10 every 20 km. If the input power is 10 W, and the receiver can detect signals with a power of 10-4 W or more, what is the longest cable that can be used without a regenerator

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2021-09-16T15:46:35+00:00
2021-09-16T15:46:35+00:00 1 Answer
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## Answers ( )

Define x as the cable length in 20 km increments.

P(x) = 10(1/10)x ≥ 10-4

101-x ≥ 10-4

1 – x ≥ -4

x ≤ 5

5(20) = 100 km