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Transcript

Course: EENG480 Electromagnetic Wave Propagation Semester: Spring 2011 Assignment: 2 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 0.15long. 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 = j100 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 antenna. 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