Question

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 the conducting sphere. Answer in units of C.

3.Find the total charge on the inner surface of the hollow conducting sphere. Answer in units of C.

4. Find the total charge on the outer surface of the hollow conducting sphere. Answer in units of C.

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...

A +22.5 nC point charge is surrounded by a concentric conducting
spherical shell of radius 2.40 cm that carries a charge of ?31.0
nC. Derive expressions for the electric field as a function of
radial distance both inside and outside the shell?
E(r < 2.40 cm) = N/C, direction ---Select--- radially inward radially
outward
E(r
> 2.40 cm) =
N/C,
direction ---Select---
radially inward radially outward

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...

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.

A hollow, conducting sphere with an outer radius of 0.260 m and
an inner radius of 0.200 m has a uniform surface charge density of
+6.47 × 10−6 C/m2. A charge of -0.400 μC is now introduced into the
cavity inside the sphere.
a)What is the new charge density on the outside of the
sphere?
b)Calculate the strength of the electric field just outside the
sphere
c)What is the electric flux through a spherical surface just
inside the inner surface...

A hollow, conducting sphere with an outer radius of 0.260 m and
an inner radius of 0.200 m has a uniform surface charge density of
+6.37 × 10−6 C/m2. A charge of -0.700 μC is now introduced into the
cavity inside the sphere. a) What is the new charge density on the
outside of the sphere? b) Calculate the strength of the electric
field just outside the sphere. c) What is the electric flux through
a spherical surface just inside...

A hollow, conducting sphere with an outer radius of 0.260 mm and
an inner radius of 0.200 mm has a uniform surface charge density of
+6.57 ×× 10−6−6 C/m2C/m2. A charge of -0.700 μCμC is now introduced
into the cavity inside the sphere.
What is the new charge density on the outside of the sphere?
Calculate the strength of the electric field just outside the
sphere.
What is the electric flux through a spherical surface just
inside the inner surface...

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 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...

A solid metal ball of 1 m radius is centered in and surrounded
by a thick walled spherical hollow metal ball whose inner wall
radius is 8m and outer wall radius is 9m. Both balls are isolated
and then additional charge is deposited on both. If the E field
points outward at 3.5m from the center of the inner ball and has a
value of 77.1 N/C.
what is the surface charge density on the surface of the inner
ball?...

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