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## Homework Statement

It is customary to express fibre loss in units of dB/km:

[itex]\alpha(dB/km) = \frac{10log(P_{in}/P_{out})}{L(km)}[/itex]

where [itex]P_{in}[/itex] is the power entering the fibre and [itex]P_{out}[/itex] is the power leaving the fibre. Show that [itex]\alpha(dB/km)[/itex] = 4343[itex]\alpha[/itex]([itex]m^{-1}[/itex])

## The Attempt at a Solution

Dividing through by decibels -should- give attenuation per kilometre, then converting to metres would give the right dimension, but how can you come up with a coefficient without any numbers to work with? Also, is attenuation per metre just an arbitrary value of loss per metre?