ECE3025C_Exam1_F2005_Solutions

# 90 9 ω γ ω γ l l g g r z r z r z r z 02 01 f 02

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90 9 Ω Γ = = = − + + Ω Γ = = + L L G G R Z R Z R Z R Z 02 01 F 02 01 0 0 90 90 C. What is the reflection coefficient at the junction between the cables for forward going waves from cable 1 to cable 2? 75 90 15 0.0909 75 90 165 D. What is the reflec = + Γ = = = = − + + Z Z Z Z 01 02 R 01 02 tion coefficient at the junction between the cable for reverse going waves from cable 2 to cable 1? 90 75 15 0.0909 90 75 165 E. What is the transmission coefficient at the junctio Γ = = = = + + Z Z Z Z F n for forward going waves from cable 1 to cable 2? 1 1 0.0909 0.9091 τ = + Γ = = F

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ECE3025C, Exam 1, Fall 2005, Problem 4 (Continued) F F. What is the transmission coefficient at the junction for reverse going waves from cable 2 to cable 1? 1 1 0.0909 1.0909 G. What is the amplitude of the forward going wave that is launche τ = + Γ = + = R 01 01 d into cable 1 immediately after the switch is closed at 0? 90 25 12.5 (v) 90 90 H. What is the eventual steady state voltage across the load for 10T? + = = = = + + = ´ IN G G L SS G L t Z V V R Z t R V V R 50 25 8.929 (v) 50 90 I. What is the eventual steady state current across the load for 10T? 8.929 0.179 (a) 50 J. What is the amplitude of the first wave that arrives at = = + + = = = ´ G SS SS L L R t V I R R ( ) ST 50
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