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MIT6_013S09_quiz01

# MIT6_013S09_quiz01 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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ˆ x cos(t + z) MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.013 Electromagnetics and Applications Quiz 1 Closed book, no calculators Please note the formulas provided on a separate sheet. There are 4 problems on two pages. For full credit, please simplify all expressions, circle and dimension your answers , and present numerical answers to the extent practical without a calculator or tedious computation. You may leave natural constants in symbolic form ( , o , h, e, etc.). You may keep the quiz questions. Problem 1. (34/100 points) A uniform plane wave in an unusual gaseous medium characterized by μ,ε is represented by: E = 2 and H = ˆ y sin(t z ) 2 . In each case below please briefly indicate your method, equations, or reasoning. What are the numerical values for: a) The wave velocity v and direction [m/s]? b) The time average wave intensity I [W/m 2 ]? c) The permeability μ [H/m] for this medium?

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MIT6_013S09_quiz01 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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