ps8 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science Problem Set No 8 6.630 Electromagnetics Issued

# 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 Vocos ωtat 100 MHz. The char-acteristic impedance of the transmission line is Zo= 100 Ω for = o. The transmission line length is l= 75 cm Vocos ωtV1(tZoZ,l=75cm ZLz+ + z= lz= 0 (a) Let = o, show that l= λ/4 . If the voltage at z= 1πV1(t) = 2 Vocos ωtwhat is the load impedance ZL(b) Let= 4o, find the wavelength λ. What is the input impedance Zinat z= What is the voltage V1(t) at z= Problem P8.2 Convert the following time domain expressions into their complex equivalents in the frequency domain, where we have defined A= Re
) l is 4 , ? l ? l ?