75-ohm transmission line of 2m length is connected to a half-wave dipole antenna at the transmitting station the system is operating at 100 MHz the distance between the transmitter and the receiver is 20 km. The half-wave dipole is made copper and has a diameter of 5 mm. A magnetic field strength of 20 μA/m is measured point of 8 = π/2 at the receiver site. There is a building with height of 10 m at 10 km from the transmitter. Transmit and receive antenna are reciprocal. A) Calculate the percentage efficiency. B) Calculate the radiated power in (dBM) of the antenna. C) Calculate the EIRP (in dBM) of the antenna.

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75-ohm transmission line of 2m length is connected to a half-wave dipole antenna at the
transmitting station the system is operating at 100 MHz the distance between the transmitter and
the receiver is 20 km. The half-wave dipole is made copper and has a diameter of 5 mm. A magnetic
field strength of 20 μA/m is measured point of 0 = π/2 at the receiver site. There is a building with
height of 10 m at 10 km from the transmitter. Transmit and receive antenna are reciprocal.
A) Calculate the percentage efficiency.
B) Calculate the radiated power in (dBM) of the antenna.
C) Calculate the EIRP (in dBM) of the antenna.
Transcribed Image Text:75-ohm transmission line of 2m length is connected to a half-wave dipole antenna at the transmitting station the system is operating at 100 MHz the distance between the transmitter and the receiver is 20 km. The half-wave dipole is made copper and has a diameter of 5 mm. A magnetic field strength of 20 μA/m is measured point of 0 = π/2 at the receiver site. There is a building with height of 10 m at 10 km from the transmitter. Transmit and receive antenna are reciprocal. A) Calculate the percentage efficiency. B) Calculate the radiated power in (dBM) of the antenna. C) Calculate the EIRP (in dBM) of the antenna.
Gp
Prad
nr = =
Ga Pin
where Rloss=
P₁ =
Rrad =
List of equations
k=
2 Prad
10
√₁-
1-
MUF=
Half-wave dipole
E =j6010
Ĥ₂
81N
f2
ferit = 9√ Nmax
ferit
cose
=
Rrad
PTTАTRAR
R²X²
PR =
PR
P= Gy GR (42)
PT
4πR
Ga(0,0) = 1.64-
= 73 Ω
Pa =
L fHc
2πа V de
Prad Ga PinGp |E₁|²_PTNTAT
4πR² 4R²
2η
R²X²
2
Prad = 36.610²
2
151,0²
πR²
Ē
no
COS
Rrad
Rrad + Rioss
cose
sin 8
General equations
Ae =
32²
8m
cos² (cos 8)
sin² 0
|-
vzh
e-jkR
Tn
(for short dipole)
A =D (for any antenna)
EIRP = PinGp = PradGa
LF = 32.4 +20logRkm +20logfMHz
dkm = √2ht(m) + √2hr(m)
dmax (km) = 17ht(m) + 17hr(m)
LKE (V)-20log.
R
nad₂d₂
d₁+d₂
1
ἐπυν2
2(d₁ + d₂)
λd₁d₂
= α
-20 log
0.225
2d₁d₂
λ(d₁ +d₂)
V
Transcribed Image Text:Gp Prad nr = = Ga Pin where Rloss= P₁ = Rrad = List of equations k= 2 Prad 10 √₁- 1- MUF= Half-wave dipole E =j6010 Ĥ₂ 81N f2 ferit = 9√ Nmax ferit cose = Rrad PTTАTRAR R²X² PR = PR P= Gy GR (42) PT 4πR Ga(0,0) = 1.64- = 73 Ω Pa = L fHc 2πа V de Prad Ga PinGp |E₁|²_PTNTAT 4πR² 4R² 2η R²X² 2 Prad = 36.610² 2 151,0² πR² Ē no COS Rrad Rrad + Rioss cose sin 8 General equations Ae = 32² 8m cos² (cos 8) sin² 0 |- vzh e-jkR Tn (for short dipole) A =D (for any antenna) EIRP = PinGp = PradGa LF = 32.4 +20logRkm +20logfMHz dkm = √2ht(m) + √2hr(m) dmax (km) = 17ht(m) + 17hr(m) LKE (V)-20log. R nad₂d₂ d₁+d₂ 1 ἐπυν2 2(d₁ + d₂) λd₁d₂ = α -20 log 0.225 2d₁d₂ λ(d₁ +d₂) V
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