notes7 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 7 ECE 2317 ECE 2317 Applied Electricity and Magnetism Applied Electricity and Magnetism Notes prepared by the EM Group University of Houston Coulombs Law Coulombs Law [ ] [ ] 1 2 2 2 12 N F/m 4 8.854187818 10 q q F r r - = = Experimental law: Note: c = speed of light = 2.99792458 10 8 [ m/s ] (exactly) 1 c = [ ] 7 H/m 4 10 (exactly) - = x y z r q 1 q 2 r Charles Coulomb Coulombs Law (cont.) Coulombs Law (cont.) Hence: But 1 2 2 2 4 q q F r r = 1 1 2 4 q E r r = ( E 1 : E due to q 1 ) ( 29 2 2 2 1 F q E r = Note: There is no self-force on charge 2 due to its own electric field. x y z r q 1 q 2 r Generalization ( q 1 not at the origin): Coulombs Law (cont.) Coulombs Law (cont.) r 1 = ( x 1 , y 1 , z 1 ) r 2 = ( x 2 , y 2 , z 2 ) ( 29 ( 29 ( 29 2 1 1 2 2 2 2 2 1 2 1 2 1 R R r r x x y y z z = =- =- +- +- ( 29 1 2 1 2 4 q E r R R = R R R = 2 1 R r r =- q 2 ( x 2 , y 2 , z 2 ) x y z R R r 2 r 1 q 1 ( x 1 , y 1 , z 1 ) Example Example q 1 = 0.7 [ mC ] located at (3,5,7) [ m ] q 2 = 4.9 [ C ] located at (1,2,1) [ m ] E 1 ( r 2 ) = electric field due to charge q 1 , evaluated at point r 2 ( 29 2 2 2 1 F q E r = Find: F 1 , F 2 For F 2 : F 1 = force on charge q 1 F 2 = force on charge q 2 R q 2 q 1 Example (cont.) Example (cont.) ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 1 2 1 2 2 1 2 2 2 m m 4 1 3 2 5 1 7 2 3 6 [ ] 2 3 6 7 [ ] 2 3 6 7 7 7 q E r R R R r r x y z R x y z R R R R x y z R = =- =-...
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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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notes7 2317 - Prof. David R. Jackson ECE Dept. Spring 2011...

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