notes11 2317 - Example ECE 2317 Applied Electricity and...

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Prof. Filippo Capolino ECE Dept. Fall 2006 Notes 11 ECE 2317 ECE 2317 Applied Electricity and Magnetism Applied Electricity and Magnetism Notes prepared by the EM group, University of Houston . (used by Dr. Jackson, spring 2006) Example Example Assume l () DD ρ = infinite uniform line charge ± encl S D ndS Q ⋅= v x y z S l = l 0 [C/m] h r Find the electric field everywhere Example (cont.) Example (cont.) ± l l l l 0 c t b encl l SS S S Qh Dnd S D d S Dz d S d S ρρ = +⋅ ∫∫ ± ± v h S t S b S c r Example (cont.) Example (cont.) ± 0 0 2 2 2 cc S l l D dS D dS Dh Dhh D πρ = = = = v Hence So l [] 0 0 V/m 2 l E πε ρ ⎛⎞ = ⎜⎟ ⎝⎠
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Example Example ρ v = 3 2 [C/m 3 ] , < a Assume l () DD = non-uniform infinite cylinder of volume charge density ± encl S D ndS Q ⋅= v x y z S h a r Find the electric field everywhere Example (cont.) Example (cont.) (a) < a () ( ) 2 000 0 2 0 4 0 4 2 23 3 2 4 3 2 encl v V h v v encl Qd V ddd z hd h Qh π ρρ ρφ ρρρρ πρ = = = = = = ∫∫∫ S h r Example (cont.) Example (cont.) Hence So ± l ( ) ± 4 3 2 3 2 2 3 4 c
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This note was uploaded on 10/25/2011 for the course ECE 2317 taught by Professor Staff during the Fall '08 term at University of Houston.

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notes11 2317 - Example ECE 2317 Applied Electricity and...

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