Chapter24-S09

# Chapter24-S09 - âˆ âˆ‘ â‹… = âˆ† â‹… = Î¦ â‡’ âˆ† â‹… = âˆ†...

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Unformatted text preview: âˆ« âˆ‘ â‹… = âˆ† â‹… = Î¦ â‡’ âˆ† â‹… = âˆ† = âˆ†Î¦ â†’ âˆ† surface i i A E i i i i E A d E A E A E A E i lim cos Î¸ The product of the magnitude of the electric field E and surface area A perpendicular to the field is called the electric flux Î¦ E : Î¦ E = EA. Electric flux is proportional to the number of electric field lines penetrating some surface. Chapter 24 Gaussâ€™s Law Electric 24.1 Electric Flux Î¸ cos ' EA EA E = = Î¦ EA E = Î¦ Consider the closed surface in the left figure. The area vectors âˆ† A i are, by convention, normal to the surface and point outward. The flux through an area can be: â€¢ positive (1), E line leaving the surfa â€¢ zero (2), E line parallel to the surfa â€¢ negative (3), E line entering the surf HW 24.4, 7 (24.4, 24.9) 24.2 Gaussâ€™s Law Let us consider a spherical closed (Gaussian) surface of radius r surrounding a point charge q . ( 29 2 2 4 4 Îµ Ï€ Ï€ q q k r r q k dA E EdA A d E e e E = = = = = â‹… = Î¦ âˆ« âˆ« âˆ« â€¢ The net flux...
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Chapter24-S09 - âˆ âˆ‘ â‹… = âˆ† â‹… = Î¦ â‡’ âˆ† â‹… = âˆ†...

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