Inc a s e s with s ym m e tryc a np ulleo uts id e a

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Unformatted text preview: ll E o uts id e a nd g e t E= Qenc Aε 0 In G e ne ra l, inte g ra l to c a lc ula te flux is d iffic ult…. a nd no t us e ful! T o us e G a us s ’ La w to c a lc ula te E, ne e d to c h o o s e s urfa c e c a re fully ! 1 ) Wa nt E to b e c o ns ta nt a nd e q ua l to va lue a t lo c a tio n o f inte re s t OR 2 ) Wa nt E d o t A = 0 s o d o e s n’t a d d to inte g ra l 19 P h y s ic s 2 1 2 Le c tu re 4 , S lid e 1 1 G a us s ’ La w S y m m e trie s r r Qenc dA ∫ Eg = ε0 ALWAY S T R UE! In c a s e s with s ym m e try c a n p ull E o uts id e a nd g e t Spherical Cylindrical A = 4π r Qenc E= 4π r 2ε 0 2 22 Qenc E= Aε 0 Planar A = 2π rL λ E= 2π rε 0 A = 2π r 2 σ E= 2ε 0 P h y s ic s 2 1 2 Le c tu re 4 , S lid e 1 2 P re flig h t 2 BB 70 60 50 40 30 20 10 0 (D) The field cannot be calculated using Gauss’ Law (E) None of the above THE CUBE HAS NO GLOBAL SYMMETRY ! THE FIELD AT THE FACE OF THE CUBE THE IS NOT PERPENDICULAR OR PARALLEL PERPENDICULAR 23 3D 2D 1D POINT LINE...
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This document was uploaded on 02/13/2014.

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