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311exam1 - ECE 311 Spring Quarter 2010 Exam#1 April 21st...

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ECE 311 - Spring Quarter 2010 Exam #1 April 21st, 2010 Write your name below and on each sheet of the exam if you tear out pages. 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 selected table of formulas is included below for your reference. Name: ____________________________________________________ “The Pledge”: ____________________________________________________ General Equations: γ α j β + R ' j ω L ' + ( ) G ' j ω C ' + ( ) = = Z 0 R ' j ω L ' + ( ) G ' j ω C ' + ( ) = L ' C ' με = G ' C ' σ ε = β 2 π λ = u P ω β --- = α dB m 8.6859 α = V ˜ z ( ) V 0 + e γ z V 0 - e γ z + = I ˜ z ( ) V 0 + e γ z V 0 - e γ z ( ) Z 0 = Lossless lines: β ω με = Z 0 L ' C ' = u P 1 με = Distortionless line: R ' L ' G ' C ' = Z 0 L ' C ' = β ω L ' C ' = α R ' C ' L ' = Terminated lossless lines: Γ Z L Z 0 ( ) Z L Z 0 + ( ) V 0 - V 0 + = = Z l ( ) Z 0 Z L jZ 0 β l ( ) tan + [ ] Z 0 jZ L β l ( ) tan + [ ] { } = VSWR 1 Γ + ( ) 1 Γ ( ) = P av V 0 + 2 1 Γ 2 ( ) [ ] 2 Z 0 ( ) = Coax: R '= R s 2 π ------ 1 a -- 1 b -- + G '= 2 πσ b a ( ) ln -------------------- L '= μ 2 π ------ b a ( ) ln C '= 2 πε b a ( ) ln ------------------- Parallel plate: R '= 2R s W -------- G '= σ W d -------- L '= μ d W ------ C '= ε W d ------- R s π f μ c σ c =
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