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aee1_final_ss2007 - AEE1 Final Exam Dez-17-2007 Prof S Peik...

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AEE1 Final Exam Dez-17-2007 Prof. S. Peik AEE1 Final Exam Fall Term 2007 Duration: 120 min Allowed Aids: - Calculator - Formulary Please Note: - Document all Calculations - Double Underline Results - Mark every page with page number and name - Hand in this title page Name: ID-#.: Problem 1 2 3 4 5 - Max. Points 15 8 12 10 8 - Points earned Total Points: of 53 Final Mark: Problem 1: Two equal point charges with charge q are located in free space on the x- axis at x = a and x = - a -a q q z x y E(0,0,z)=? -a 1. Find the E-field vector vector E ( 0 , 0 , z ) on the z-axis. Use cartesian coordinates 2. Find an approximation for vector E ( 0 , 0 , z ) for large values of z , ie z a . 3. Determine the work performed, when moving a point charge with the charge q from the origin to infinity z = . Where is the released energy? 4. Find the potential V ( x , 0 , 0 ) on the x-axis. Assume a zero potential at infinity. 5. Determine the work performed, when moving a point charge with the charge q from the origin to infinity z = , using the result from 4. 6. Check the units of your result from 5. or 3. Do you get the unit for Work? Hint: R x x 2 + a 2 3 dx = - 1 x 2 + a 2 Problem 2: 1. Why do transformer cores use lamented layers? 2. Which law implys, that that no isolated magnetic charges (monopoles) exist? 3. How long does it take for an electron to move from the light switch in the lecture hall to the light fixture when the switch is turned on. Give a rough estimate. No calculation required! 4. What does Lenz’ Law state?
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