What is the capacitance c of this capacitor q c v

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Unformatted text preview: tructed from two BB conducting cylindrical shells of radii a1, a2, a3, and a4 and length L (L >> ai). What is the capacitance C of this capacitor ? Q C≡ V Where is +Q on outer conductor located? (A) at r=a4 (B) at r=a3 (C) both surfaces (A) (B) (C) Why? Gauss’ law: ∫ E ⋅ dA = (D) throughout shell Qenclosed εo Qenclosed = 0 We know that E = 0 in conductor (between a3 and a4) Qenclosed = 0 +Q must be on inside surface (a3), so that Qenclosed = + Q – Q = 0 Physics 212 Lecture 7, Slide 22 22 Calculation cross-section +Q + + + + + − − − − − − − − − − − − + −−− −−− −−− −−− − − − − + −+ − − − −+ − − − a2 a1 + a4 a3 -Q −+ − + − − + + − − metal − − − + + +++ metal A capacitor is constructed from two BB conducting cylindrical shells of radii a1, a2, a3, and a4 and length L (L >> ai). What is the capacitance C of this capacitor ? Q C≡ V Where is -Q on inner conductor located? (A) at r=a2 (B) at r=a1 (C) both surfaces (A) (B) (C) Why? Gauss’ law: ∫ E ⋅ dA = (D) throughout shell Qenclosed εo Qenclosed = 0 We know that E = 0 in conductor (between a1 and a2) Qenclosed = 0 +Q mu...
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This note was uploaded on 02/09/2012 for the course PHYSICS 212 taught by Professor Mestre during the Spring '11 term at University of Illinois at Urbana–Champaign.

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