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101A

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Electrical Engineering

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Apr 3, 2024

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pdf

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1 EC ENGR 101A Problem Set #3 (120 Points) Due 1/30/24, 5:59PM Problem #1 (15 points) A 75- W transmission line is terminated by a load of 120 + j 80 W . (a) Find G and s . (b) Determine how far from the load is the input impedance purely resistive. Problem #2 (15 points) If the two-antenna configuration shown below is connected to a generator with Ṽ g = 250 V and Z g = 50 W , how much average power is delivered to each antenna? Problem #3 (20 points) Don’t use the Smith chart for this problem. Please just use equations. Determine Z in of the feed line shown in the figure below. All lines are lossless with Z 0 = 50 W . Problem #4 (10 points) Use the Smith chart to find the reflection coefficient corresponding to a load impedance of: (a) Z L = 3Z 0 (b) Z L = (2 – j 2)Z 0
2 Problem #5 (20 points) Use the Smith chart to find the normalized load impedance corresponding to a reflection coefficient of: (a) G = 0.5 (b) G = 0.5 Ð 60 ° (c) G = 01 (d) G = 0.3 Ð -30 ° (e) G = 0 (f) G = j Problem #6 (20 points) A 50- W lossless line 0.6 l long is terminated in a load with Z L = (50 + j 25) W . At 0.3 l from the load, a resistor with resistance R = 30 W is connected as shown in the figure below. Use the Smith chart to find Z in . Problem #7 (20 points) Use the Smith chart to determine the input impedance Z in of the two-line configuration shown in the figure below.
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