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EENG480 Electromagnetic Wave Propagation
Spring 2011
Problem 1.
A 50ohm lossless transmission line is terminated in a complex load impedance
of 40 + j70. Using a Smith Chart find the following. Plot the normalized
impedance, determine the normalized admittance, determine the actual
admittance, calculate VSWR, and the reflection coefficient.
Problem 2.
A 50ohm lossless transmission line is terminated in a real load impedance RL =
10. Use a smith chart to find the input impedance Zin for the following
lengths, 0.1, 0.25, 0.375, 0.5 , and 7.6.
Problem 3.
A 75 loss-less transmission line is terminated in a load impedance equal to
105 - j150. The length of the line is 0.35. Using a Smith Chart calculate the
input impedance, the VSWR, and the reflection coefficient at the load.
Problem 4.
An antenna is modeled by a 40 resistor in parallel with a capacitor with Xc = j25. The antenna is fed by a lossless 50 signal line 0.15long. Use a Smith
Chart to find the input impedance to the transmission line
Problem 5.
A 50ohm lossless T-Line has a voltage standing wave ratio, VSWR = 3. A
voltage minimum is located 3.15 wavelengths from the load. Use a Smith
Chart to find the load
Problem 6.
A 50ohm coax line is terminated in a short circuit. Using a Smith Chart find the
line length in wavelengths () to produce an input impedance, Zin =0 - j36.
Repeat for Zin = j100. Determine the length of an open circuit line for Zin =
Problem 7.
An antenna has an input impedance equal to 25 + j40  and a frequency at
100MHz. The antenna is connected to a 50 coaxial cable with a short circuit
stub to match the antenna. The velocity of propagation for the cable is 2 x
106m/s. Find the lengths of the stub, and the distance of the stub from the
Problem 8.
A 50 transmission line has an electrical length of 45 degrees and is
terminated in a load, ZL = 50 + j50 . Using impedances, find the input
impedance, the load reflection coefficient, and the VSWR