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Unformatted text preview: 3 1 , 4 n n n n q-=- r r E r r ( ) 1 , 4 n n n q =- r r r ( ) ( ) 2 1 , 1 . n n n n n n q q =- = -- E r r r r Electric field and potential for a continuous distribution of charges By dividing a continuous distribution of charges into small pieces and approximating each piece by a discrete charge, and then taking the limit in which the size of each piece goes to zero, it can be shown that for a charge distribution ( r ) in volume V , the electric field and potential at position R are given by ( ) ( ) 3 3 1 , 4 V d -=- R r E R r r R r ( ) ( ) 3 1 . 4 V d =- r R r R r Also 2 , . = = -E The expressions for the electrical field are both referred to as Gausss law....
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This note was uploaded on 12/02/2011 for the course PHYS 809 taught by Professor Macdonald during the Fall '11 term at University of Delaware.
- Fall '11