notes14 2317

notes14 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 14 ECE 2317 ECE 2317 Applied Electricity and Magnetism Applied Electricity and Magnetism Hence: Potential Calculation Potential Calculation ( 29 ( 29 B AB A V E dr A B = - ( 29 ( 29 R r r R E dr - = ( 29 ( 29 r R r R E dr = - C r = A R = B Example Example Given: R = , ( R ) = 0 2 4 q E r r = Choose a radial path for convenience. Find the potential function ( 29 ( 29 r R r R E dr = - r R E dr =- y z q r R C point charge x Example (cont.) Example (cont.) ( 29 ( 29 2 sin 4 4 r r R r r R r r r E r dr r d r d E dr q dr r q r = - + + = - = - = ( 29 [ ] V 4 q r r = Example (cont.) Example (cont.) ( 29 ( 29 2 sin 4 4 4 r r R r r R r r r E r dr r d r d E dr q dr r q r q r = - + + = - = - = = What if we had picked a different path C ?...
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notes14 2317 - Prof. David R. Jackson ECE Dept. Spring 2011...

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