EE 338_HW1_Solutions

EE 338_HW1_Solutions - 9/12/2007 EE 338 Fall 2007 HW#1...

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9/12/2007 EE 338 Fall 2007 HW#1 Solution 1. y a) x Q 2 Q 1 R 2 - R 1 R 2 R 1 Coulomb force for the above figure is defined as: i R R Q Q C F ˆ 2 1 2 2 1 0 4 1 × = πε where i is the unit vector that points from Q 1 to Q 2 , which is equal to 1 2 1 2 ˆ R R R R i = . 1
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9/12/2007 1. b) To show that E field has only z component, we first project the position of the point P where we want to find the electric field on to the infinite plane. Then we pick a random point O 1 on the plane. D O 2 O 1 P Then we find the point O 2 which is the symmetric of O 1 with respect to the projection point D as shown in the figure. Since we have an infinite plate every point O 1 will have a symmetric point O 2 on the same plate. Then we need to show that there is no lateral component of the total Coulomb force created by the plate. The figure is the side view of the above points. As you can see, the length of the line PO 1 and PO 2 are the same (angles as well). D
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This note was uploaded on 02/27/2008 for the course EE 338 taught by Professor Dapkus during the Fall '07 term at USC.

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EE 338_HW1_Solutions - 9/12/2007 EE 338 Fall 2007 HW#1...

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