notes8 2317 - Prof. David R. Jackson ECE Dept. Spring 2011...

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Unformatted text preview: Prof. David R. Jackson ECE Dept. Spring 2011 Notes 8 ECE 2317 ECE 2317 Applied Electricity and Magnetism Applied Electricity and Magnetism Notes prepared by the EM Group University of Houston Example Example Find E ( 0, 0, z ) x y z a R y s = s [C/m 2 ] r = (0, 0, z ) b x d dS ( 29 2 2 2 2 ' dS d d R zz R z zz R z = =- + = + - + = + Example (cont.) Example (cont.) ( 29 ( 29 ( 29 ( 29 2 2 1 2 2 2 2 2 2 3 2 2 2 4 ' 1 4 ' ' ' 4 ' s S b s a b s a r E R dS R zz E d d z z zz d d z = - + = + + - + = + Note: The upper limits are larger than the lower limits, in order to keep the differential lengths (defining the differential area) positive. Example (cont.) Example (cont.) ( 29 2 3 2 2 2 4 ' b s a zz E d d z - + = + Switch integration order and do ' integral first: ( 29 2 3 2 2 2 4 b s a zz E d d z - + = + 2 d = Note that By doing the integral first and realizing that it is zero for the first term, we save a lot of work. Example (cont.) Example (cont.)Example (cont....
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This note was uploaded on 08/05/2011 for the course ECE 2317 taught by Professor Staff during the Spring '08 term at University of Houston.

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notes8 2317 - Prof. David R. Jackson ECE Dept. Spring 2011...

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