Problem 1: A lossless transmission line has characteristic impedance Z. 50 2 and its input impedance is 60-170 92. The line operates at a wavelength of 0.4 m and is 3.85 m long. Calculate: (a) The load impedance connected to the line. (b) The location of the voltage minima and maxima on the line, starting from the load. (c) The reflection coefficient at the load (magnitude and angle) and the standing wave ratio on the line. (d) The magnitude of the maximum and minimum voltage and current on the line if the load voltage is 22-/10 V.

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Problem 1:
A lossless transmission line has characteristic impedance Z. 50 2 and its input impedance is
60-170 92. The line operates at a wavelength of 0.4 m and is 3.85 m long. Calculate:
(a) The load impedance connected to the line.
(b) The location of the voltage minima and maxima on the line, starting from the load.
(c) The reflection coefficient at the load (magnitude and angle) and the standing wave ratio on the
line.
(d) The magnitude of the maximum and minimum voltage and current on the line if the load voltage
is 22-j10 V.
Problem 2:
Given that the voltage standing-wave ratio S=3 on a 50 2 line, that the first voltage minimum
occurs at 5 cm from the load, and that the distance between successive minima is 25 cm. find the
load impedance and I.
Problem 3:
A voltage generator with r(t) = 5 cos (27 x 10°t) V and internal impedance Z, -50 2 lossless
air-spaced transmission line. The line length is 10 cm, and the line is terminated in a load with
impedance Z₁-(100-1100) 2. Determine (a) I at the load. (b) Z at the input of the TL.
(c) The input voltage and current
(without the smith chart)
Problem 4:
a. Explain how a radio wave may be generated.
b. Dipole antennas are popular, can you justify why the half-wavelength dipole is the most
popular dipole?
c. From an antenna point of view, a two-wire transmission line can be considered as two wire
antennas
Problem 5: A
An engineer had a bright idea: Why not use rectangular waveguides instead of the coaxial lines
used in cable TV? The requirements are as follows: lowest frequency 54 MHz (TV Channel 2),
and the waveguide has a ratio of a - 2b.
(a) What must be the dimensions of the waveguide to propagate from 54 MHz and up in the TE10
mode?
(b) The normal TV range in the VHF band is between 44 MHz and 88 MHz (channels 2 through
6) and from 174 MHz through 216 MHz (Channels 7 through 13) with each channel allocated 6
MHz bandwidth. How many of the TV channels can be propagated in the TE₁ mode calculated in
(a)?
(c) Is this a bright idea?
Transcribed Image Text:Problem 1: A lossless transmission line has characteristic impedance Z. 50 2 and its input impedance is 60-170 92. The line operates at a wavelength of 0.4 m and is 3.85 m long. Calculate: (a) The load impedance connected to the line. (b) The location of the voltage minima and maxima on the line, starting from the load. (c) The reflection coefficient at the load (magnitude and angle) and the standing wave ratio on the line. (d) The magnitude of the maximum and minimum voltage and current on the line if the load voltage is 22-j10 V. Problem 2: Given that the voltage standing-wave ratio S=3 on a 50 2 line, that the first voltage minimum occurs at 5 cm from the load, and that the distance between successive minima is 25 cm. find the load impedance and I. Problem 3: A voltage generator with r(t) = 5 cos (27 x 10°t) V and internal impedance Z, -50 2 lossless air-spaced transmission line. The line length is 10 cm, and the line is terminated in a load with impedance Z₁-(100-1100) 2. Determine (a) I at the load. (b) Z at the input of the TL. (c) The input voltage and current (without the smith chart) Problem 4: a. Explain how a radio wave may be generated. b. Dipole antennas are popular, can you justify why the half-wavelength dipole is the most popular dipole? c. From an antenna point of view, a two-wire transmission line can be considered as two wire antennas Problem 5: A An engineer had a bright idea: Why not use rectangular waveguides instead of the coaxial lines used in cable TV? The requirements are as follows: lowest frequency 54 MHz (TV Channel 2), and the waveguide has a ratio of a - 2b. (a) What must be the dimensions of the waveguide to propagate from 54 MHz and up in the TE10 mode? (b) The normal TV range in the VHF band is between 44 MHz and 88 MHz (channels 2 through 6) and from 174 MHz through 216 MHz (Channels 7 through 13) with each channel allocated 6 MHz bandwidth. How many of the TV channels can be propagated in the TE₁ mode calculated in (a)? (c) Is this a bright idea?
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