homework 1 - ECE 2317 Applied Electricity and Magnetism...

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1 ECE 2317 Applied Electricity and Magnetism Fall 2011 Homework #1 Date Assigned: Jan. 20 Due Date: Jan. 27 1. A surface charge density 2 5( 1 ) s xy ρ = [C/m 2 ] exists on the xy plane. Find the total charge that lies within the rectangle defined by the vertices (0,0,0), (2,0,0), (2,1,0), (0,1,0). 2. A surface charge density 2 ) s = [C/m 2 ] exists on the xy plane. Find the total charge that lies within the triangle defined by the vertices (0,0,0), (1,0,0), (0,2,0). 3. A slab of constant (uniform) charge density 0 vv = has a thickness h as shown below, and is infinite in the x and y directions. Determine an effective surface charge density eff s (lying in the xy plane) that has the same amount of charge per unit area in the xy plane as the slab of charge does. 4. A cylindrical region of uniform charge density 0 = having a radius a is shown below. Determine an effective line charge density eff l lying along the z axis that has the same amount of charge per unit length (in the z direction) as the cylinder of charge does.
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homework 1 - ECE 2317 Applied Electricity and Magnetism...

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