Quiz6-2007-102

Quiz6-2007-102 - a b a We have a Gaussian surface at...

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NAME: STUDENT NO: SIGNATURE: DEPARTMENT PHYSICS 102- Summer School- Instructor: M. Özgür OKTEL- June 19, 2006 QUIZ-6 An infinite thin wire is charged with line charge density λ . A metal cylindrical shell of inner radius a and outer radius b is concentric with the thin wire. If the total charge in the metal shell is zero. a) Find the magnitude of the electric field at a distance r from the wire for r<a b) Find the magnitude of the electric field inside the metal shell, a<r<b . c) Find the magnitude of the electric field outside the metal shell b<r . d) What is the surface charge density σ in the inner surface of the metal shell, and the outer surface of the metal shell?
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Unformatted text preview: a b a) We have a Gaussian surface at distance r from the wire, such that Ξ΅ Ο€ Ξ» r E L r E dA E L q L losed enc 2 2 = β‹… β‹… β‹… = β‹… β‹… = β‹… β‹… Ξ¦ = = β‹… ∫ b) Metals are conducting so the charge inside is 0 (charges are on the inner and outer surfaces), hence E=0 c) Taking a Gaussian surface outside the shell with r>b β‹… = β‹… β‹… = β‹… β‹… = β‹… = ∫ r E L r E L dA E q L q losed enc 2 2 d) Inner and outer surfaces bear charges same in magnitude but opposite in signs; b L b L a L a L A q outer inner Οƒ 2 2 2 2 = β‹… β‹… = βˆ’ = β‹… β‹… βˆ’ = =...
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Quiz6-2007-102 - a b a We have a Gaussian surface at...

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