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MIT6_013S09_pset06

MIT6_013S09_pset06 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.013 – Electromagnetics and Applications Problem Set 6 (five problems) Suggested Reading: Course notes, Sections 7.1.1-7.1.2, 7.2.1-7.2.2, 8.1, 8.3.1 Problem 6.1 Stripline can be approximated as an ideal parallel-plate TEM line if its width W is much greater than the separation d between top and bottom plates (i.e., if fringing fields can be neglected). Consider the illustrated infinitely long stripline for which d = 1 micron and the medium between the plates has μ = μ o and ε = 4 ε o . μ o , ε o W d μ o , 4 ε o (a) For what width W is the impedance of this line 50 Ω ? Is the ideal parallel plate model valid for these dimensions? Discuss briefly. (b) For a 1-volt DC signal, what is the intensity I (time-average Poynting vector magnitude [W]) of the TEM electromagnetic field propagating between the plates? (c) Evaluate the time average electric and magnetic energy densities per meter, i.e., W e and W m [J/m], on this line for case (b) (neglect fringing fields).
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