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Quiz8Electricity2Answer - zero(same as at infinity How do...

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AP1200 Quiz 8 Student Name ____________________________ Student ID ___________________ A metal sphere of radius R, carrying charge q, is surrounded by a thick concentric metal shell (inner radius a, outer radius b). The shell carries no net charge. (a) Find the surface charge density σ at R, at a, and at b. (2 points) (b) Find the potential at the center, using infinity as the reference point. (2 points) (c) Now the outer surface is touched to a grounding wire, which lowers its potential to
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Unformatted text preview: zero (same as at infinity). How do your answer to (a) and (b) change? (2 points) Answer b a-q q q R a kq R kq dr r kq a q R q a kq R kq b kq dr r kq dr dr r kq V b q a q R q R a b a R R a a b b b a R-=-= =-= =-+ = + + +-= =-= = ∫ ∫ ∫ ∫ ∞ 2 2 2 2 2 2 2 2 V ; 4 ; 4 : grounded is surface outer After the (c) ) ( : center at the potential The (b) 4 ; 4 ; 4 : density charge surface (a)The σ π...
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