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Unformatted text preview: ECE 329 Homework 2 Due: Sept. 7, 2010, 5PM 1. Gauss’ law for electric field E states that H S E · d S = 1 ϵ 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 H S E · d S over the surface of a cube of volume V = L 3 centered about the origin, if ρ ( x,y,z ) = − 3 C/m 3 within V ? b) Repeat (a) for ρ ( x,y,z ) = x 2 + y 2 + z 2 C/m 3 and L = 1 m. c) What is the electric ﬂux in part (b) for any one of the square surfaces of volume V ? 2. Consider two infinite parallel slabs having equal widths W and equal but opposite charge densities. Slab 1 is parallel to the xy-plane and extends from z = − 2 W to z = − W and has a positive uniform charge density ρ C/m 3 while slab 2 extends from z = W to z = 2 W . The charge density is zero everywhere else. a) Determine and sketch the electric field component E z in terms of ρ over the region − 3 W < z < 3 W by using shifted and scaled versions of the static field configuration of a single charged slab...
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This note was uploaded on 11/06/2011 for the course ECE 329 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
- Spring '08