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Unformatted text preview: ECE 329 Homework 2 Due: Sept 9, 2008, 5PM 1. Infinitesimal electric field at position ( x o , , 0) of an infinite charge strip along the z-axis with an infinitesimal width dx along x is found to be d E = ˆ x ρ S 2 π o x o dx, where ρ S is the uniform surface charge density of the strip measured in C/m 2 units. Show that the field at the same location is E = ˆ x ρ S 2 π o ln[ x o x o- W ] if the strip has a finite width W > extending from x = 0 to x = W < x o . Hint: superpose shifted versions of the expression for d E within an appropriately constructed integral. 2. Gauss’s law for electric field E states that S E · d S = 1 o V ρdV over any closed surface S enclosing a volume V in which electric charge density is specified by ρ ( x,y,z ) C/m 3 . a) What is the electric flux S E · d S over the surface of a cube of volume V = L 3 centered about the origin, if ρ ( x,y,z ) = 1 C/m 3 within V ?...
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This note was uploaded on 04/14/2009 for the course ECE 329 taught by Professor Franke during the Spring '08 term at University of Illinois at Urbana–Champaign.
- Spring '08