ps7 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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------------------------------------------------------------------------------ MASSACHUSETTS INSTITUTE OF TECHNOLOGY± Department of Electrical Engineering and Computer Science± Problem Set No. 7 6.630 Electromagnetics Issued: Fall Term 2006 Due: Reading assignment : Section 2.3, 2.5; J. A. Kong, “ Electromagnetic Wave Theory ”. Problem P7.1 Digital systems on printed circuit boards often incorporate source terminations instead of load terminations to minimize the dissipated power and to reduce the magnitude of prop- agating voltage waveforms. Consider the digital system in the figure. The driver is modeled by a voltage source V s = 1 V and a source resistance R s = 25 Ω . The transmission line has a characteristic impedance Z 0 = 100 Ω and a propagation velocity v = c/ 2 = 1 . 5 10 8 m/s · due to the geometry and dielectric constant of the the printed circuit board. Digital re- ceivers often have very low input capacitance so that the load can be modeled as an open circuit in the frequency range of interest. The source termination is implemented by inserting a series resistance R 1
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