ECE3025C_Exam1_F2005_Solutions

# ECE3025C_Exam1_F2005_Solutions - ECE3025C Exam 1 Fall 2005...

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ECE3025C, Exam 1, Fall 2005, Problem 1 () 0 -9 00 A lossless transmission line, 8 meters in length, has a characteristic impedance of Z 50 . The properties for the transmission line are 2.2 and 1. Some useful values: 1 x 10 F/m , 4 x 36 εμ π = Ω == rr -7 8 0 8 8 0 -8 8 1 10 H/m , c 3 x 10 (m/s) A. Find the one way transit time, T, for this line. 1 3 x 10 c 2.023 x 10 (m/s) 2.2 L8 T 3.96 x 10 (s) 0.0396 ( sec) 39.6 (nsec) 2.023 x 10 B. Find the capacit με ε μ === = = = p R p v v 0 -11 8 0 0 ance per unit length. 1 ; , and solving for gives: 11 1 9.98 x 10 (farads/m) 99.8 (pf/m) 50 2.023 x 10 C. Find the inductance per unit length. 1 , and solving for ⎛⎞ = = ⎜⎟ ⎝⎠ p p pp L Zv C C LC C Z L vC L v -7 0 8 gives: 50 2.472 x 10 (henry) 0.2472 ( h/m) 2.023 x 10 = = p L Z L v

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ECE3025C, Exam 1, Fall 2005, Problem 2 Consider the following circuit which consists of the transmission line with properties listed in Problem 1. 75 Ω o rr Z 50 , 2.2, 1, 8 meter length ε μ = Ω= = 5 V 25 L R = Ω IN V L V 0 L 0 0 G 0 Fill in the reflection diagram shown on the next page for this problem. First, compute the following: 25 50 1 25 50 3 75 50 0.2 75 50 25 5 1.25 (v) 75 25 Γ= = =− ++ = = ⎛⎞ == = ⎜⎟ ⎝⎠ L L G G L SS G GL RZ R VV RR I 0 0 1.25 0.05 (a) 25 50 52 ( v ) 75 50 + = = SS SS L IN G G V R Z
+ 1 + 1 = 2 (v) = 0.04 (a) V I 00 0 0 = = VI 1 1 2 (v) 0.04 (a) = = V I Z t 0.2 Γ= G 1 3 Γ=− L 2 - 2 = 0.6667(v)

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ECE3025C_Exam1_F2005_Solutions - ECE3025C Exam 1 Fall 2005...

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