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Unformatted text preview: Electromagnetics Workshop – Week 1 solutions Volume, Surface, and Line Charge Densities Problem 1: A uniform line charge density 3 [nC/m] ρ = l exists on the line segment 0, 0, 0 1 [m] x y z = = ≤ ≤ . a. What is the total charge on the line segment? b. What is the total charge on the segment if the line charge density is 2 4 [nC/m] z ρ = l ? 1 Electromagnetics Workshop – Week 1 solutions Volume, Surface, and Line Charge Densities Problem 2: A uniform volume charge density 3 4 [nC/m ] V ρ = fills the thin rectangular slab 1 [m], 0.3 [m], 0 0.005 [m] x y z ≤ ≤ ≤ ≤ ≤ ≤ . a. What is the total charge contained in the slab? b. It is often convenient to approximate a thin slab of charge as an equivalent surface charge density. In this case, what would be the effective surface charge density? c. What is the total charge within the slab if the volume charge density is 3 4 [nC/m ] x V e ρ- = ? What is the effective surface charge density?...
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This note was uploaded on 10/25/2011 for the course ECE 2317 taught by Professor Staff during the Spring '08 term at University of Houston.
- Spring '08