How is electric flux related to the electric field E? How is the total electric flux over a closed surface related to the charge enclosed within the surface? A thin spherical shell of radius R1 carries a total charge Q1 that is uni- formly distributed on its surface. A second, larger concentric thin shell of radius R2 carries a charge Q2 also uniformly distributed over the surface of the shell. Use Gauss' law to find the electric field in the regions. (a) r < R1, (b) RỊ 0 and the electric field is zero for r > R2. Find the ratio Q1/Q2.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter25: Gauss’s Law
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How is electric flux related to the electric field E? How is the total electric
flux over a closed surface related to the charge enclosed within the surface?
A thin spherical shell of radius R1 carries a total charge Q1 that is uni-
formly distributed on its surface. A second, larger concentric thin shell of
radius R2 carries a charge Q2 also uniformly distributed over the surface of
the shell. Use Gauss' law to find the electric field in the regions.
(a) r < Rj,
(b) Rị <r < R2, and
(c) R2 <r.
The electric charges are such that Q > 0 and the electric field is zero for
r> R2. Find the ratio Q1/Q2.
Transcribed Image Text:How is electric flux related to the electric field E? How is the total electric flux over a closed surface related to the charge enclosed within the surface? A thin spherical shell of radius R1 carries a total charge Q1 that is uni- formly distributed on its surface. A second, larger concentric thin shell of radius R2 carries a charge Q2 also uniformly distributed over the surface of the shell. Use Gauss' law to find the electric field in the regions. (a) r < Rj, (b) Rị <r < R2, and (c) R2 <r. The electric charges are such that Q > 0 and the electric field is zero for r> R2. Find the ratio Q1/Q2.
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