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  • If the sum of the heights of transmitting and receiving antennas in the line of sight of communication is fixed at , then the maximum range of LOS c

If the sum of the heights of transmitting and receiving antennas in the line of sight of communication is fixed at 160 \mathrm{~m}, then the maximum range of LOS communication is___________\mathrm{km}.
(Take \: radius\: of \: Earth =6400 \mathrm{~km} ) 

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Range of LOS communication = \sqrt{2h_{T}R}+\sqrt{2h_{R}R}
                 h_{T}+h_{R}=160\, m
For maximum range ,
h_{T}=h_{R}
\therefore h_{T}=h_{R}= 80 m
    = 2\sqrt{2h_{T}R}
    = 2\times \sqrt{2\times 80\times 6400\times 10^{3}}
    = 2\times \sqrt{160\times 6400\times 10^{3}}
   = 2\times80\times 40\times 10
\Rightarrow Range= 64000 m= 64\, km 

Posted by

vishal kumar

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