Question

At the frequency of 2.4 GHz what is the free-space path loss in dB.

Answer 1

The FSBL is 100.05 dB

Solution:

As per the question:

Frequency, f = 2.4 GHz =
`2.4* 10^(9)`

Now, we know that to calculate FSBL, i.e., Free Space Path Loss in dB, we use:

`FSBL(in dB) = 10log_(10)((4\pifd)/(c))^(2)`

where

d = 1 km = 1000

c =
`3* 10^(8) m/s`

`FSBL(in dB) = 20log_(10)(4\pifd)/(c) = 20log_(10)(fd) + 20log_(10)((4\pi)/(c))`

`FSBL(in dB) = 20log_(10)(f) + 20log_(10)(d) + 20log_(10)((4\pi)/(c))`

`FSBL(in dB) = 20log_(10)(2.4* 10^(9)) + 20log_(10)(10^(3)) + 20log_(10)((4\pi)/(3* 10^(8)))`

`FSBL(in dB) = 20* 9.3802 + 20* 3 - 147.55 = 100.05 dB`