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بسم هللا الرحمن الرحيم King Fahd University of Petroleum and Minerals Electrical Engineering Department First Exam EE 340 Sunday April 1st, 2007 Duration: 1 hour and 30 min. Name: ID#: ………………………………………… ………………………………………… Problem #1 Problem #2 Problem #3 TOTAL /30 Note: 0.5 point for clarity and presentation on each problem. Total 1.5/30. Good Luck Problem I: (9.5 + 0.5 points ) A uniform line charge L 2nC / m occurs on part of the circle of radius a = 0.1 m placed on the z = 0 plane and covering the quadrants / 4 / 4 and 3 / 4 5 / 4 . Find E at (0, 0, h). _____________________________ Problem II: (9.5 + 0.5) points) Three cylindrical sheets of charges are located at follow: Sheet 1 has S 1 5 nC / m 2 is located at 1, Sheet 2 has S 2 3 nC / m 2 is located at 3, Sheet 3 has S 3 0 nC / m 2 is located at 5, Find the value of 0 that makes the electric field equal to zero for > 5. _____________________________ Problem III: (9.5 + 0.5 points) The electric flux density in free space is given by: D sin a cos a 1. Find the total charge enclosed by the cylinder defined by 2, and 0 z 4 . 2. Calculate the electric energy stored in the cylinder defined by 4, 0 z 10 . 3. Calculate the potential difference between A (4, 3, 2) and B (3, 4, 2). Hint: Be clear in your solution, and state what you are doing, and how you are going to solve the problem.