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Unformatted text preview: ECE 329 Homework 2 Due: Feb 3, 2009, 5PM 1. Charges Q 1 = 8 o C and Q 2 =- Q 1 / 2 are located at points P 1 and P 2 having the position vectors r 1 =- x =- (1 , , 0) m and r 2 = x = (1 , , 0) m, respectively. Determine the electric field vector E at points P 3 and P 4 having the position vectors r 3 = y = (0 , 1 , 0) m and r 4 = z = (0 , , 1) m, respectively. Make sketches showing the charge locations and the resulting electric field vectors (drawn coming out of points P 3 and P 4 , respectively) in each case. 2. An infinite charge strip along the z-axis with an infinitesimal width dx along x produces an infinites- imal electric field d E = x S 2 o x o dx at ( x o , , 0) , where S denotes the uniform surface charge density of the strip in C/m 2 units. Show that the field at the same location would be E = x S 2 o ln[ x o x o- W ] if the strip had a finite width W > extending from x = 0 to x = W < x o . Hint: superpose shifted versions of d E within an appropriately constructed integral....
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- Spring '08