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Unformatted text preview: ECE 329 Homework 2 Due: September 8, 2009, 5 PM 1. Gauss Law for electric field E states that H S E dS = 1 R V dV over any closed surface S enclosing a volume V in which electric charge density is specified by ( x,y,z ) C/m 3 . a) What is the total electric flux H S E dS through the surface of a cube of volume V = 1 m 3 centered about the origin, if ( x,y,z ) = 1 C/m 3 within V? b) Repeat (a) for ( x,y,z ) = x 2 + y 2 + z 2 C/m 3 . c) What is the electric flux R E dS through any one of the square surfaces of volume V for the charge density given in part (b)? 2. Two unknown charges, Q 1 and Q 2 are located along the x axis at ( x,y,z ) = (1 , , 0) and at (- 1 , , 0) , respectively. The displacement flux R D dS through the entire y- z plane at x = 0 in the + x direction is -2 C, while the displacement flux through the x- z plane at y = 1 in the + y direction is 6 C....
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This note was uploaded on 02/21/2010 for the course ECE 329 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
- Spring '08