Question

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

Answer 1

Answer:

The FSBL is 100.05 dB

Solution:

As per the question:

Frequency, f = 2.4 GHz = $2.4\times 10^{9}$

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

$FSBL(in dB) = 10log_{10}(\frac{4\pifd}{c})^{2}$

where

d = 1 km = 1000

c = $3\times 10^{8} m/s$

$FSBL(in dB) = 20log_{10}\frac{4\pifd}{c} = 20log_{10}(fd) + 20log_{10}(\frac{4\pi}{c})$

$FSBL(in dB) = 20log_{10}(f) + 20log_{10}(d) + 20log_{10}(\frac{4\pi}{c})$

$FSBL(in dB) = 20log_{10}(2.4\times 10^{9}) + 20log_{10}(10^{3}) + 20log_{10}(\frac{4\pi}{3\times 10^{8}})$

$FSBL(in dB) = 20\times 9.3802 + 20\times 3 - 147.55 = 100.05 dB$