A sphere has total charge Q=18 C and radius R. Letr be the radial distance measured from the center of the sphere. The sphere's charge is distributed in such a way that the volume charge density is proportional to the cube of r, that is p(r)-ar³ for some constant a. If the electric field magnitude is E= 39 N/C at r-R/2, what is E at r=2R?
A sphere has total charge Q=18 C and radius R. Letr be the radial distance measured from the center of the sphere. The sphere's charge is distributed in such a way that the volume charge density is proportional to the cube of r, that is p(r)-ar³ for some constant a. If the electric field magnitude is E= 39 N/C at r-R/2, what is E at r=2R?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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Part A
A sphere has total charge Q=18 C and radius R. Letr be the radial distance measured from the center of the sphere. The sphere's charge is distributed in such a way that the volume charge density is proportional to the cube of r, that is p(r)=ar³ for some constant a. If
the electric field magnitude is E = 39 N/C at r= R/2, what is E at r= 2R?
k¹8.99 x 109 Nm²/C²
4700
Express your answer with the appropriate units.
E =
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Part B
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▾ Part C
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An infinitely long cylinder has uniform volume charge density and radius R. If the electric field magnitude is E = 39 N/C at r= R/2, what is E at r = 2R? r is the distance from the centeral axis of the cylinder.
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An infinitely big block of thickness 2R and uniform volume charge density extends infinitely in the z-y plane, and fills the region -R<<< R in the direction. If the electric field magnitude is E = 39 N/C at z = R/2, what is E at z = 22R?
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Part A
A sphere has total charge Q=18 C and radius R. Letr be the radial distance measured from the center of the sphere. The sphere's charge is distributed in such a way that the volume charge density is proportional to the cube of r, that is p(r)=ar³ for some constant a. If
the electric field magnitude is E = 39 N/C at r= R/2, what is E at r= 2R?
k¹8.99 x 109 Nm²/C²
4700
Express your answer with the appropriate units.
E =
Submit
Part B
Submit
Value
▾ Part C
Value
An infinitely long cylinder has uniform volume charge density and radius R. If the electric field magnitude is E = 39 N/C at r= R/2, what is E at r = 2R? r is the distance from the centeral axis of the cylinder.
μÃ
Submit
HA
Request Answer
Value
μA
←
Request Answer
Units
C
Units
An infinitely big block of thickness 2R and uniform volume charge density extends infinitely in the z-y plane, and fills the region -R<<< R in the direction. If the electric field magnitude is E = 39 N/C at z = R/2, what is E at z = 22R?
Sony ?
Request Answer
EXTRA
Units
?
?
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