ps8 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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------------------------------------------------------------------------------ MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science Problem Set No. 8 6.630 Electromagnetics Issued: Fall Term 2006 Due: Reading assignment : Section 2.4, 2.6; J. A. Kong, “ Electromagnetic Wave Theory ”. Problem P8.1 A TEM transmission line is driven by a voltage source V o cos ωt at 100 MHz. The char- acteristic impedance of the transmission line is Z o = 100 Ω for = o . The transmission line length is l = 75 cm V o cos ωt V 1 ( t ) Z o Z, l = 75 cm Z L z + + z = l z = 0 (a) Let = o , show that l = λ/ 4 . If the voltage at z = l is 1 π V 1 ( t ) = 2 V o cos ωt 4 , what is the load impedance Z L ? (b) Let = 4 o , find the wavelength λ . What is the input impedance Z in at z = l ? What is the voltage V 1 ( t ) at z = l ? Problem P8.2 Convert the following time domain expressions into their complex equivalents in the frequency domain, where we have defined A = Re Ae
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