An infinite, insulating cylinder of radius ri is surrounded by an air gap and a thin, cylindrical conducting shell of radius r2. The insulating cylinder carries constant volume charge density p and the conducting shell carries a constant area charge density o. Use Gauss's law to calculate the quantity f E•dA for the Gaussian shape (a) most appropriate for this problem. (b) distribution). Find the electric field in the region r < ri (inside the volume charge (c) Find the electric field in the region r1 < r < r2 (air gap region) 2.

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An infinite, insulating cylinder of radius ri is surrounded by an air gap and a
thin, cylindrical conducting shell of radius r2. The insulating cylinder carries constant
volume charge density p and the conducting shell carries a constant area charge density
o.
Use Gauss's law to calculate the quantity f E•dA for the Gaussian shape
(a)
most appropriate for this problem.
(b)
distribution).
Find the electric field in the region r < ri (inside the volume charge
(c)
Find the electric field in the region r1 < r < r2 (air gap region)
2.
Transcribed Image Text:An infinite, insulating cylinder of radius ri is surrounded by an air gap and a thin, cylindrical conducting shell of radius r2. The insulating cylinder carries constant volume charge density p and the conducting shell carries a constant area charge density o. Use Gauss's law to calculate the quantity f E•dA for the Gaussian shape (a) most appropriate for this problem. (b) distribution). Find the electric field in the region r < ri (inside the volume charge (c) Find the electric field in the region r1 < r < r2 (air gap region) 2.
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