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311exam2 - ECE 311 Spring Quarter 2010 Exam#2 May 17th 2010...

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ECE 311 - Spring Quarter 2010 Exam #2 May 17th, 2010 Write your name below and sign the honor pledge “No aid given, received, or observed” if it applies. There are 3 problems on this exam. Exam is open book and notes. Please box or underline your final answers, and remember to include units. Be sure to show all work clearly if you wish to obtain any partial credit. Try to keep your work within the provided space. Use the back of a previous sheet if necessary. A list of useful formulas is given below for your reference. Name: ____________________________________________________ “The Pledge”: No aid given, received, or observed ____________________________________________________ Lossless lines: β 2 πλ ⁄ω μ ε == u P ω β --- 1 με ---------- Terminated lossless lines: Γ Z L Z 0 () Z L Z 0 + V 0 - V 0 + Zl Z 0 Z L jZ 0 β l tan + [] Z 0 L β l tan + {} = Time Domain: vzt , V 0 + tzu P V 0 - P + + = izt , V 0 + P V 0 - P + Z 0 = Γ S Z S Z 0 Z S Z 0 + = Coulomb’s Law: F e 21 R ˆ 12 q 1 q 2 4 πε 0 R 12 2 -------------------- = Electric field of a point charge: ER qR R ' 4 0 RR ' 3 =
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Z 0 V G t=0 z=0 Ω μ=μ 0 45 35 =15 V z=-3 m =75 Ω ε=8ε 0 Ω - + Problem 1 (4 parts, 36 points) A 15 V DC voltage source with a 45 ohm source resistance is connected at time zero to a 35 Ohm load through an 3 m long 75 Ohm transmission line (as shown). The lossless transmission line contains a material having ε 8 ε 0 = and μμ 0 = . Be sure to label all axes and values of the function in any plots. (a) Plot the current as a function of position on the line at time t 1 = nsec. (10 points)
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(b) Plot the voltage as a function of position on the line at time t 29 = nsec. (10 points) (c) Plot the current as a function of position on the line at time t 58 = nsec. (10 points)
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(d) Find the current flowing through the 35 Ohm load a very long time after the switch is closed.
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311exam2 - ECE 311 Spring Quarter 2010 Exam#2 May 17th 2010...

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