exam1_2006

exam1_2006 - School of Electrical and Computer Engineering...

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Unformatted text preview: School of Electrical and Computer Engineering, Cornell University 1 ECE 303: Electromagnetic Fields and Waves Fall 2006 Exam 1 September 26, 2006 INSTRUCTIONS: • Every problem must be done in a separate blue booklet – so you must have 3 separate blue booklets before starting the exam • Only work done on the blue exam booklets will be graded – do not attach your own sheets to the exam booklets under any circumstances • To get partial credit you must show all the relevant work • Correct answers with wrong reasoning will not get points • All questions do not carry equal points • All questions do not have the same level of difficulty DO NOT WRITE IN THIS SPACE School of Electrical and Computer Engineering, Cornell University 2 Problem 1 (30 points) Consider a coil of radius a with N turns per unit length and carrying a time varying current I ( t ) , as shown below. The length of the coil is L . The coil is oriented such that its axis is the z-axis, and the center of the coil is at the origin (0,0,0). The number of turns per unit length in the coil (i.e. N ) is fairly large so that in any small interval of length dz along the length of the coil (as shown in the figure below) the number of turns is equal to N dz ....
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exam1_2006 - School of Electrical and Computer Engineering...

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