22.15 • (a) A conducting sphere has charge Q and radius R. If the electric field of the sphere at a distance r = 2R from the center of the sphere is 1400 N/C, what is the electric field of the sphere at r = (b) A very long conducting cylinder of radius R has charge per unit length A. Let r be the perpendicular distance from the axis of the cyl- inder. If the electric field of the cylinder at r = 2R is 1400 N/C, what is the electric field at r = 4R? (c) A very large uniform sheet of charge has surface charge density o. If the electric field of the sheet has a value of 1400 N/C at a perpendicular distance d from the sheet, what is the electric field of the sheet at a distance of 2d from the sheet? %3D 4R?

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22.15 • (a) A conducting sphere has charge Q and radius R. If the
electric field of the sphere at a distance r = 2R from the cœnter of the
sphere is 1400 N/C, what is the electric field of the sphere at r = 4R?
(b) A very long conducting cylinder of radius R has charge per unit
length A. Let r be the perpendicular distance from the axis of the cyl-
inder. If the electric field of the cylinder at r = 2R is 1400 N/C, what
is the electric field at r = 4R? (c) A very large uniform sheet of charge
has surface charge density o. If the electric field of the sheet has a value
of 1400 N/C at a perpendicular distancœ d from the sheet, what is the
electric field of the sheet at a distance of 2d from the sheet?
22.21 •• The electric field at a distance of 0.145 m from the surface of
a solid insulating sphere with radius 0.355 m is 1750 N/C. (a) Assuming
the sphere's charge is uniformly distributed, what is the charge density
inside it? (b) Calculate the electric field inside the sphere at a distance
of 0.200 m from the center.
Transcribed Image Text:22.15 • (a) A conducting sphere has charge Q and radius R. If the electric field of the sphere at a distance r = 2R from the cœnter of the sphere is 1400 N/C, what is the electric field of the sphere at r = 4R? (b) A very long conducting cylinder of radius R has charge per unit length A. Let r be the perpendicular distance from the axis of the cyl- inder. If the electric field of the cylinder at r = 2R is 1400 N/C, what is the electric field at r = 4R? (c) A very large uniform sheet of charge has surface charge density o. If the electric field of the sheet has a value of 1400 N/C at a perpendicular distancœ d from the sheet, what is the electric field of the sheet at a distance of 2d from the sheet? 22.21 •• The electric field at a distance of 0.145 m from the surface of a solid insulating sphere with radius 0.355 m is 1750 N/C. (a) Assuming the sphere's charge is uniformly distributed, what is the charge density inside it? (b) Calculate the electric field inside the sphere at a distance of 0.200 m from the center.
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