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cupoosta [38]
3 years ago
14

A mobile base station (BS) in an urban environment has a power measurement of 8µW at 225m. Assuming the propagation follows an i

nverse 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.
Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

Answer:

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

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

<em>   times the power as a distance increasing</em>

∵ 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

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(-3, 13)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  3. Exponents
  4. Multiplication
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Step-by-step explanation:

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<u>Step 2: Solve for </u><em><u>x</u></em>

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  1. Substitute in <em>y</em>:                                                                                                  11(-4x + 1) = x + 146
  2. Distribute 11:                                                                                                      -44x + 11 = x + 146
  3. [Addition Property of Equality] Add 44x on both sides:                                11 = 45x + 146
  4. [Subtraction Property of Equality] Subtract 146 on both sides:                      -135 = 45x
  5. [Division Property of Equality] Divide 45 on both sides:                              -3 = x
  6. Rewrite/Rearrange:                                                                                          x = -3

<u>Step 3: Solve for </u><em><u>y</u></em>

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