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When the optical power launched into an 8km length of fiber is 120 microwatt the mean optical power at the fiber output is 3 microwatt. Determine

(i) the overall signal attenuation or loss, in decibels through the fiber assuming there is no connector or splicer. (ii) The signal attenuation per kilometer for the fibers.

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A. Overall Signal attenuation or loss in decibels through the fiber assuming there are no connectors or splices is given by,

Signal attentuation $(\alpha _{db}L) = 10log_{10}Pi/Po \\ \ \ \ \ \ \ \ \ \ \ \ = 10log_{10}(120\times10^{-6} / 3 \times 10^{-6}) \\ \ \ \ \ \ \ \ \ \ \ \ = 10 log_{10}40 \\ \ \ \ \ \ \ \ \ \ \ \ = 16.0 dB$

B.The signal attenuation per Km for the fibers is given by,

$\alpha_{db}L = 16.0 dB \\ As L = 8km \\ \therefore \alpha_{db} = 16.0/8 \\ \alpha_{db} = 2.0 dB/km $

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