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EEL3472_Spring2011_HO_13B

# EEL3472_Spring2011_HO_13B - EEL 3472 Electromagnetic Fields...

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EEL 3472 - Electromagnetic Fields and Applications I Handout #13 Moore 23 February 2011 Spring 2011 VERSION B Midterm Exam #1 23 February 2011, 10:40 – 11:30 AM, Larsen 330 Open book. Open notes. Absolutely NO communications. 5 problems. 100 total points. Print name: Honor Code Observed: Signature Instructions: Solve 5 problems. Please take your time to think about solutions before start- ing to write them down. Clearly demonstrate the methodology you employ, and be sure to attempt each problem. Useful Taylor expansions for small x: ( 1 + x ) n 1 + nx e x 1 + x a x 1 + x ln a ln ( 1 + x ) x Table of useful integrals: Z dx p ( x 2 + b 2 ) 3 = x b 2 x 2 + b 2 + const . Z dx x 2 + b 2 = 1 b tan - 1 x b + const . Z xdx x 2 + b 2 = 1 2 ln ( x 2 + b 2 ) + const . Z dx p ( x 2 + b 2 ) = ln " x 2 + b 2 + b b # + const . 1

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1. Transmission Line Parameters. The constitutive parameters of a two-wire transmission line to be operated at 100 kHz are given: R ´ = 0 Ω /m, L ´ = 3 . 04 μ H/m, G ´ = 0 . 413 pS/m, C ´ = 18 . 3 pF/m. Assume all materials are non-magnetic (i.e., μ = μ 0 ) and that ( D / d ) 2 1.
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