establish the relation between height of T.V antenna and range transmission
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Answer:
PQ=h
T
(heightofantenna)
PS=PT=d
From right angled ΔOTQ, we get
OQ
2
=OT
2
+QT
2
Here OQ=R+h
T
QT=PT=d
OT=R=Radiusofearth
(R+h
t
)
2
=R
2
+d
2
R
2
+h
t
2
+2Rh
T
=R
2
+d
2
d
2
=h
T
2
+2Rh
T
d
2
=2Rh
T
[1+
2R
h
T
]
2R
h
T
<<1
d
2
=2h
T
R
d=
2h
T
R
the maximum distance d
M
, between Transmitting & receiving antennas is given by
d=d
T
+d
R
d=
2Rh
T
+
2Rh
R
d
T
=horizon for transmitting antenna
d
R
=horizon for receiving antenna
h
T
=height of transmitter
h
R
=height ofreceiver
d=maximum distance of broadcast
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