If a given antenna of height h- then maximum distance upto which it can receive signal is -ahR- R is the radius of earthWhat is the value of a-

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Standard XII

Physics

Wave Equation of EM Waves

If a given an...

Question

If a given antenna of height h, then maximum distance upto which it can receive signal is $\sqrt{a h R}$ . (R is the radius of earth)
What is the value of $a$ ?

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Solution

$d_{t}$ =Radio Horizon, $h_{t}$ =Height of Transmitting Antenna
R=Radius of Earth $h_{R}$ =height of Receiving Antenna.

$d_{m} = \sqrt{2 R h_{T} + {2 R h}_{R}}$

So, for receiving antenna
$d_{R} = \sqrt{2 h_{R} R}$
a=2

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If a given antenna of height h, then maximum distance upto which it can receive signal is √ahR. (R is the radius of earth)What is the value of a?

dt=Radio Horizon, ht=Height of Transmitting AntennaR=Radius of Earth hR=height of Receiving Antenna.dm=√2RhT+2RhRSo, for receiving antennadR=√2hRRa=2

If a given antenna of height h, then maximum distance upto which it can receive signal is $\sqrt{a h R}$ . (R is the radius of earth)
What is the value of $a$ ?

$d_{t}$ =Radio Horizon, $h_{t}$ =Height of Transmitting Antenna
R=Radius of Earth $h_{R}$ =height of Receiving Antenna.

$d_{m} = \sqrt{2 R h_{T} + {2 R h}_{R}}$

So, for receiving antenna
$d_{R} = \sqrt{2 h_{R} R}$
a=2