A mobile base station (BS) in an urban environment has a power measurement of 8µW at 225m. Assuming the propagation follows an inverse cube power law (Section 3.2.2), what is a reasonable value to assume at a distance 675m from the BS?

Give your answer in scientific notation, to 2 decimal places.

The reasonable value = 2.96 * 10^ (-1) µW

Step-by-step explanation:

* Lets explain how to solve the problem

- A mobile base station in an urban environment has a power

measurement of 8 µW at 225 m

- The propagation follows an inverse cube power law

- We need to find the reasonable value to assume at a distance

678 m from the base station

∵ The propagation follows an inverse cube power law

- The power would have been decreased by a factor 1/n³

times the power as a distance increasing

∵ n = the ratio between the distances

∵ The distance are 675 m and 225

∴ n = 675/225 = 3

∴ 1/n³ = 1/3³ = 1/27

- The reasonable value is the product of the power measurement of

8 µW and 1/27

∴ The reasonable value = 8 * 1/27 = 8/27 µW = 0.296296

∴ The reasonable value = 2.96 * 10^ (-1) µW