A transmitting antenna at the top of the tower has height of 32m and height of receiving antenna is 50m. What is the minimum distance of satisfactory LOS of communication is? 1.40km 2.45km 3.60km 4.100km

1 Answer
A08
Feb 7, 2018

2.
It is the maximum distance or Range of LOS link.

This is also called the Radio Horizon of the link.

Explanation:

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Referring to the figure above, let #R# be the radius of the Earth #(6.4xx10^6m)# and #h# be the height of transmitting or a receiving telecommunication station. The LOS communication distance #d# is given by

#d^ 2 = ( R + h )^ 2 − R^ 2 = 2 R h + h ^2#

As #h"<<"R#

#d approxsqrt( 2 R h) #

Maximum distance for satisfactory LOS communication after taking in account both the height of transmitter and receiver is

#d_max=sqrt(2Rh_T)+sqrt(2Rh_R)#
#d_max=sqrt(2xx6.4xx10^6xx32)+sqrt(2xx6.4xx10^6xx50)#
#d_max=20239+25298=45237m~~45km#

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