ELEC 3909 Lecture Notes - Lecture 2: Inductor, Short Circuit
23 Feb 2016
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Problem 2. 38 the input impedance of a 31-cm long lossless transmission line of unknown characteristic impedance was measured at 1 mhz. Find z0 of the line, the phase velocity, and the relative permittivity of the insulating material. Solution: now = 2 f = 6. 28 106 rad/s, so in = j l = j2 106 0. 064 10 6 = j0. 4 . Zsc and zoc in = 1/ j c = 1/( j2 106 40 10 12) = j4000 . in = p( j0. 4 )( j4000 ) = 40 . From eq. (2. 94), z0 = pzsc in zoc. 6. 28 106 0. 31 tan 1 p j0. 4/( j4000) . For n = 0, where n 0 for the plus sign and n 1 for the minus sign. up = 1. 94 108 m/s = 0. 65c and r = (c/up)2 = 1/0. 652 = 2. 4.
