ECE312_W09_Exam2_Solutions

ECE312_W09_Exam2_Solutions - ECE 312 - Winter 2009 Exam 2 -...

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Unformatted text preview: ECE 312 - Winter 2009 Exam 2 - Open the exam only when instructed. - When instructed to open exam, make sure you have all 5 pages. - Closed book. - Show all work for full credit. - Draw a box around your final answers. Students: The Ohio State University's Code of Student Conduct (Section 3335-23- 04) defines academic misconduct as: "Any activity that tends to compromise the academic integrity of the University, or subvert the educational process." Examples of academic misconduct include (but are not limited to) plagiarism, collusion (unauthorized collaboration), copying the work of another student, and possession of unauthori zed materials during an examination. Ignorance of the University's Code of Student Conduct is never considered an "excuse" for academic misconduct. If I suspect that a student has com mitted academic misconduct in this course, I am obligated by University Rules to report my suspicions to the Committee on Academic Misconduct. If COAM determines that you have violated the Uni versity's Code of Student Conduct (i.e., committed academic misconduct), the sanctions for the misconduct could include a failing grade in this course and suspension or dismissal from the University. Professor Reano EE Honor Code Pledge: "No aid given, received, or observed" Signature: f Print name here: é Q Problem 1. (25 points) The rectangular loop shown below is coplanar with the long, straight wire carrying the current I = 20 A. Determine the magnetic flux through the loop. 3; SE. .13": $4143 S 2m- 5’1 a; 71 _ a“ J, ; 1954 Mai] E X j d7 /AZ7T 71 3; : 0:141”; ; (‘l/TX/v ¢fiflzwflwh§i / ’ WI 217 J, 2” Problem 2. (25 points) A 50 cm long metal rod rotates about the z-axis at 90 revolutions per minute, with end 1 fixed at the origin as shown. Determine the induced emf between end 1 and end2if§=22x10“T. rl L 7. : WEE = WEI} 2 o 2. flow:wm:3rg :T:_2;5u mm‘ 40%, 2— % 3 Problem 3. (25 points) If we were to characterize how good a material is as an insulator by its resistance to dissipating charge, which of the following two materials is the better insulator? Dry soil: 8, = 2.5, o = 104 S/m Fresh water: a, = 80, 0' = 10'3 S/m _ t svm= the (We) Problem 4. (25 points) Consider a medium with zero volume charge density, constant permittivity, constant permeability, and nonzero conductivity. Starting with the time-harmonic Maxwell equations, prove that the electric field satisfies a wave equation. Show all details for full credit (score = 0 for only stating the final result). ...
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ECE312_W09_Exam2_Solutions - ECE 312 - Winter 2009 Exam 2 -...

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