Question

5. Consider a system consisting of an insulating sphere of radius a, with total charge Q uniformly spread throughout its volume, surrounded by a conducting spherical inner radius b and outer radius c, having a total charge of -3Q. (a) How much charge is on each surface of the spherical conducting shell? (b) Find the electric potential for all r, assuming v=0 at infinity.

Answer #1

A solid insulating sphere of radius a = 5 cm is fixed at the
origin of a co-ordinate system as shown. The sphere is uniformly
charged with a charge density ρ = -244 μC/m3. Concentric with the
sphere is an uncharged spherical conducting shell of inner radius b
= 13 cm, and outer radius c = 15 cm.
1)What is Ex(P), the x-component of the electric field at point
P, located a distance d = 32 cm from the origin...

An insulating sphere of radius a has charge density p(r) =
P0r^2, where P0 is a constant with appropriate units. The total
charge on the sphere is -3q. Concentric with the insulating sphere
is a conducting spherical shell with inner radius b > a and
utter radius. The total charge on the shell is +2q. Determine
a. the magnitude of the electric field at the following
locations: (i) r < a, (ii) a < r < b, (iii) b <...

A solid insulating sphere of radius a = 2 cm carries a net
positive charge Q = 9 nC uniformly distributed throughout its
volume. A conducting spherical shell of inner radius b = 4 cm and
outer radius c = 6 cm is concentric with the solid sphere and
carries an initial net charge 2Q. Find: a. the charge distribution
on the shell when the entire system is in electrostatic
equilibrium. b. theelectricfieldatpoint:(i)AwithrA =1cm,(ii)BwithrB
=3cm,(iii)CwithrC =5cm from the center of...

A positive charge +Q is distributed uniformly throughout the
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potential V at a point P a distance r from the center of the
sphere. Plot the electric potential V vs. the distance r from the
center of the sphere for 0 < r < 2R

Consider an insulating sphere of radius 5 cm surrounded by a
conducting sphere of inner radius 22 cm and outer radius 25 cm.
Furthermore, suppose that the electric field at a point 13 cm from
the center is measured to be 1540 N/C radially inward while the
electric field at a point 44 cm from the center is 90 N/C radially
outward.
1. Find the charge on the insulating sphere. Answer in units of
C.
2.Find the net charge on...

A solid conducting sphere of radius R and carrying charge +q is
embedded in an electrically neutral nonconducting spherical shell
of inner radius R and outer radius 2 R . The material of which the
shell is made has a dielectric constant of 3.0.
Part A Relative to a potential of zero at infinity, what is the
potential at the center of the conducting sphere?

Charge Q is distributed uniformly throughout the volume of an
insulating sphere that has radius R. What is the potential
difference between the center of the sphere and the surface of the
sphere?

A uniformly charged insulating sphere
(R1 = 3.0 cm) is charged to
QI = 50 nC. It is concentric within a
charged conducting shell (inner radius
R2 = 5.0 cm, outer radius
R3 = 5.2 cm) that is charged
to QC = 200 nC. The insulating sphere is
not connected to the conducting shell, and the conductors are
separated by air. (Note: The figure is not to scale.)
In which region(s) is the electric field zero, if any?
(b) Find...

A very long non-conducting cylindrical rod of length L
and radius a has a total charge – 2q uniformly distributed
throughout its volume. It is surrounded by a conducting cylindrical
shell of length L, inner radius b, and outer radius c. The
cylindrical shell has a total charge +q. Determine the electric
field for all regions of space and the charge distribution on the
shell.

A plastic sphere with a radius of 4 cm is surrounded by a
concentric metal shell of 7 cm inside radius, and 10 cm outside
radius. The outer shell has a net charge of +5 Coulombs, while the
plastic sphere inside has a uniformly distributed charge of -10
Coulombs.
What is the electric potential relative to infinity at a
distance 15 [cm] from the center of the plastic sphere i.e. outside
the conducting shell, and why?
2b. What net charge...

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