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ECE3025C_Exam1_F2007_Solutions

# ECE3025C_Exam1_F2007_Solutions - ECE3025C Exam 1 Fall 2007...

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ECE3025C, Exam 1, Fall 2007, Problem 1 -11 -7 2 x 10 (farads/m) 20 (pf/m), and an inductance of 6 x 10 (henry/m) 0.6 ( h/m). A lossless transmission line, 8 meters inlength, has a capacitance of A. Find the propagation velocity for this P C L v μ == () ( ) -7 -11 8 R 0 0 2 00 6 x 10 2 x 10 line. 11 2.887 x 10 (m/s) B. Find the relative permittivity for this line with 1. 1 thus, , where , finally, p R R R R v LC LC LC LC LC LC cL C c εμ ε ε ε μμ = = =→ = = = = ( ) -7 -11 2 8 6 x 10 2 x 10 3 x 10 1.08. R

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ECE3025C, Exam 1, Fall 2005, Problem 2 Consider the following circuit which consists of a lossless transmission line, where the switch connecting the 12 volt source to the line is closed at time of 0. Assume a cable length of 13 meters. t = 50 G R o rr Z 75 , 2.5, 1 ε μ = Ω= = 12 V 100 L R = Ω IN V L V () 0 00 88 A. Calculate the one way propagation time for this line. 11 1 1 First, calculate 1 thus, 3 x 10 1.897 x 10 (m/sec), now the one way propagation 2.5 Len time is given by T P RR P vc v εμ == = = ii i 8 8 0 L 0 G gth of Line 13 6.85 x 10 (sec) 68.5 (nsec). 1.897 x 10 B. Fill in the reflection diagram shown on the next page for this problem. First, compute the following: 100 75 0.1429 100 75 P L L G v RZ R = Γ= = = ++ 0 0 0 0 50 75 0.2 50 75 100 12 8 (v) 50 100 8 0.08 (a) 100 75 12 7.2 (v) 50 75 G L SS G GL SS SS L IN G G Z R VV V I R Z + ⎛⎞ === ⎜⎟
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ECE3025C_Exam1_F2007_Solutions - ECE3025C Exam 1 Fall 2007...

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