305_exam_1_s11_soln - (c) Compute the loss in dB/m. (d)...

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ECE 305 Name: Spring 2011 Exam #1 Student No. Note: Be sure to include units where appropriate! Note: YOU MUST SHOW YOUR WORK TO GET CREDIT! Note: Each problem is worth 8 points 1. Transient transmission lines. A battery is switched into a transmission line through a series resistance at time 0 t = , as shown below. The length of the transmission line is 30cm = and the velocity on the line is 8 3 10 m/s v = × . a) Draw and label the voltage and current bounce diagrams, and use them to plot ( , ) v t and (0, ) i t for 0 5 t ≤ ≤ nanoseconds (ns).
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1 continued b) Find the steady-state current, (0, ) i t , t .
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2. Transmission line parameters. A low-loss transmission line operating at 500 MHz has a characteristic impedance of 0 100 0 Z j = + Ω and a propagation constant of 0.02 20 j γ = + m -1 . (a) Compute the phase velocity. (b) Compute the wavelength.
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Unformatted text preview: (c) Compute the loss in dB/m. (d) Compute L and R, and show that the transmission line is low loss. 2 continued 3. Standing waves. A lossless transmission line with a characteristic resistance of 30 R = Ω is terminated by a load with impedance 30 L Z jX = + Ω . If the reflection coefficient is 0.64 0.48 j Γ = + , a) Find S b) Find m d in wavelengths c) Find X . 3 continued 4. Input impedance. A lossless transmission line of length ℓ and characteristic resistance 50 Ω is operated at 37.5 MHz and has a phase velocity 8 1.5 10 m/s × . a) Find the wavelength on the transmission line. b) When the line is terminated with a short circuit, the input impedance is 50 j Ω . Calculate the length of the transmission line. 4 continued...
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This note was uploaded on 10/17/2011 for the course ELECTRICAL 305 taught by Professor Rothwell during the Spring '11 term at Michigan State University.

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305_exam_1_s11_soln - (c) Compute the loss in dB/m. (d)...

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