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Transmission Lines
- A load impedance ZT = (100−j50)Ω is connected to a source through a wavelength long lossless
transmission line of characteristic impedance Z0 = 50Ω, as shown below. Determine the average
power delivered to the load by the generator. How does your answer change if the length of the
transmission line is 1.18λ? - A resistive load of R = 10Ω is to be connected to a 50Ω source, operating at f = 103.1 MHz.
Design a transmission line circuit connecting source and load for maximum power transfer. For
your design, what is the reduction (in percent) in power dissipated in the load if the frequency
is changed to f = 91.5 MHz? - A lossless transmission line (Z0 = 50Ω, r = 2.25) is terminated in a load impedance consisting of
a resistance R = 25Ω in series with an inductance L = 60nH. The transmission line is excited by
a sinusoidal voltage of frequency f = 200 MHz. Using the Smith chart, determine the distance
from the termination (in meters) to the first voltage minimum and the first current minimum
on the line. Furthermore, determine (i) the standing-wave ratio on the line and (ii) the input
impedance of the line if the line is 1.2 m long. - A lossless 75Ω coaxial cable is terminated in an unknown load impedance ZT . From standingwave measurements the standing-wave ratio was found as 2.5 and the nearest voltage maximum
was 0.35λ from the termination. Determine the unknown load impedance, both analytically and
graphically using the Smith Chart. - A lossless transmission line section of length l = 3m (Z0 = 50Ω, r = 2.25) is terminated in an
unknown impedance ZT . The input impedance of the line at f = 40 MHz has been determined
as Zin = (20 − j10)Ω. Use the Smith chart to answer the following questions: (a) Determine
the voltage standing-wave ratio on the line; (b) determine the load impedance and reflection
coefficient at the termination; (c) determine the distance (in meters) from the termination to the
nearest voltage minimum; (d) determine the distance (in meters) from the termination to the nearest current minimum.
