What should be the height of transmitting antenna, if the TV...

What should be the height of transmitting antenna, if the TV telecast is to cover a radius of $128 \mathrm{~km}$ ?
(a) $1280 \mathrm{~m}$
(b) $1000 \mathrm{~m}$
(c) $1024 \mathrm{~m}$
(d) $1332 \mathrm{~m}$

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Key Concepts

Line-of-Sight Propagation

Line-of-sight propagation refers to the direct travel of radio waves from the transmitter to the receiver without any reflection or diffraction. Since Earth’s curvature limits direct transmission, calculations for antenna height must account for this to ensure that the transmission covers the intended range.

Antenna Height Calculation

Antenna height is calculated based on the relationship between the height and the maximum distance a signal can travel before the Earth’s curvature obstructs it. Geometric formulas, typically involving the Earth’s radius and the square root of the antenna height, allow engineers to determine the necessary height to cover a specified area.

Radio Horizon

The radio horizon is the furthest distance at which radio waves can be received via a direct line-of-sight path, taking into account the curvature of the Earth. It is a crucial concept for understanding how high an antenna must be positioned to guarantee coverage over a given area.

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