A solid sphere of radius R has a charge density, given by p(r)=p|-1= where r is the radial coor- R dinate and po,a and R are positive constants. If the magnitude of the electric field at r=R/2 is 1.25 times that at r = R, then the value ofa is (a) 2 (b) 1 ()

A solid sphere of radius R has a charge density, given by p(r)=p|-1= where r is the radial coor- R dinate and po,a and R are positive constants. If the magnitude of the electric field at r=R/2 is 1.25 times that at r = R, then the value ofa is (a) 2 (b) 1 ()

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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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A solid sphere of radius R has a charge density, given by p(r)=p|-1=
where r is the radial coor-
R
dinate and po,a and R are positive constants. If the magnitude of the electric field at r=R/2 is 1.25
times that at r = R, then the value ofa is
(a) 2
(b) 1
()

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