A conducting spherical shell is given a charge of 6 nC. A tiny pith ball is given a charge of -2.4 nC and is lowered to the center of the spherical shell using an insulating string through a very small hole in the top of the spherical shell without touching the spherical shell. The spherical shell has an inner radius of rinner = 1.7 m and an outer radius of router = 2.9 m. The pith ball can be considered as a point-charge. router d2 rinner di d3 Hint: Review the properties of conductors in electrostatic equilibrium and use Gauss's law. Assume a spherically symmetric distribution of charge on the spherical shell. a. Determine the magnitude of the electric field at a distance d₁ = 1.1 from the center of the spherical shell.
A conducting spherical shell is given a charge of 6 nC. A tiny pith ball is given a charge of -2.4 nC and is lowered to the center of the spherical shell using an insulating string through a very small hole in the top of the spherical shell without touching the spherical shell. The spherical shell has an inner radius of rinner = 1.7 m and an outer radius of router = 2.9 m. The pith ball can be considered as a point-charge. router d2 rinner di d3 Hint: Review the properties of conductors in electrostatic equilibrium and use Gauss's law. Assume a spherically symmetric distribution of charge on the spherical shell. a. Determine the magnitude of the electric field at a distance d₁ = 1.1 from the center of the spherical shell.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:$
a. Determine the magnitude of the electric field at a distance
d₁ = 1.1 from the center of the spherical shell.
E =
N/C
4
b. Determine the magnitude of the electric field at a distance
d2 = 2.3 from the center of the spherical shell.
E =
N/C
c. Determine the magnitude of the electric field at a distance
d3= 3.4 from the center of the spherical shell.
E =
N/C
d. What is the distribution of charge on the inner surface of the
spherical shell (with the pith ball at its center)?
nC
q=
R
LL
is the distribution of charge on the outer surface of the
spherical shell (with the pith ball at its center)?
q=
nC
e.
Submit Question
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5
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6
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Transcribed Image Text:A conducting spherical shell is given a charge of 6 nC. A tiny pith
ball is given a charge of -2.4 nC and is lowered to the center of
the spherical shell using an insulating string through a very small
hole in the top of the spherical shell without touching the
spherical shell. The spherical shell has an inner radius of rinner =
1.7 m and an outer radius of router = 2.9 m. The pith ball can be
considered as a point-charge.
4
R
96
5
d2
T
router
Hint: Review the properties of conductors in electrostatic
equilibrium and use Gauss's law. Assume a spherically symmetric
distribution of charge on the spherical shell.
a. Determine the magnitude of the electric field at a distance
d₁ = 1.1 from the center of the spherical shell.
116 40
A
D
6
G H
di
rinner
d3
&
4-
7
N
4+
8
00
M
(
9
K
O
J
P
[
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