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Question:
derive an expression for the range of transmission via space wave from a transmitting antenna of height h
Answer:

The relation among radius of earth, height of antenna and range is, as below

Here, R= radius of earth

d= range

h= height of transmitting antenna

(R+h)2=R2+d2

R2+h2+2hR = R2+d2

d2= h2+2hR

but h<<R, so d2= 2hR

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