EEE_23_2s1819_Problem_Set_2.pdf

EEE_23_2s1819_Problem_Set_2.pdf - EEE 23 2s1819 Problem Set...

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EEE 23 2s1819 Problem Set 2 (Deadline: March 22, 2019) Instructions: To get full credit, support correct answers with complete and concise solutions. In all problems, letters in bold font are vector quantities. Specify numerical answers correct to four significant digits, including appropriate units. 1. (20 points) Let us assume a very thin, square, imperfectly conducting plate with side length of 3 m lying on the xy plane ( z = 0) with one corner at the origin such that it is lying on the 1st quadrant. The potential at any point on the plate is defined by the function V = - e - x sin y . (a) (5 points) What is the electric field as a function of x , y , and z ? (b) (5 points) An electron enters at x = 0, y = π/ 3. In what direction is the initial movement? (c) (8 points) The electron experiences collisions traveling through the plate. As such, it follows the direction of the electric field. At what point does it exit the plate? (d) (2 points) What is the work done by an external force if it pushes the electron from the point ( x = 1 . 5 , y = π/ 2) to ( x = 0 , y = π/ 3)?

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• Winter '17
• SSX
• Magnetic Field, Electric charge, Fundamental physics concepts

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