A solid insulating sphere of radius R has a volume charge density given by p3 p= Po exp 4a3 where po, a > 0 are both constants and r is the distance from the centre of the insulator. Which of the following gives the correct expression for the electric field magnitude at a distance r

A solid insulating sphere of radius R has a volume charge density given by p3 p= Po exp 4a3 where po, a > 0 are both constants and r is the distance from the centre of the insulator. Which of the following gives the correct expression for the electric field magnitude at a distance r

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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Concept explainers

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 insulating sphere of radius R has a volume charge density
given by
p = Po exp
4a3
where po, a > 0 are both constants and r is the distance from the centre
of the insulator. Which of the following gives the correct expression for
the electric field magnitude at a distance r <R inside the insulator?
Po 4a³
3r2
(А) Е %—
p3
exp
€0
4а3
a
Po a3
€o 3. 4r2
(В) Е
1– exp
p3
4а3
Po 4a3
1
(С) Е %—
73
exp
-
€o 3r2
4a3
(D) E = P0 V4a³
E0 3r2
a3
p3
1 – exp
||
4а3
(E) E =
po
p3
%3D
co 3 · Vara la - exp (-)
4а3

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