Question

A composite spherical shell of inner radius r1 = 30 cm is
constructed from lead

of outer radius r2 = 33 cm and AISI 304 stainless steel of
outer radius r3 = 36 cm. The cavity

is filled with radioactive wastes that generate heat at a
uniform rate. The container is

submerged in oceanic waters that are at a temperature of
10◦

C and provide a uniform

convection coefficient of 450 W/m2

K at the outer surface of the container. Calculate the

volumetric heat generation rate if the inner surface
temperature (T1) is 1150◦

C.

Answer #1

A spherical shell with inner radius r1 and outer radius r2 is
uniformly magnetized. Use Poisson’s relation to find the magnetic
field B inside the inner surface of the shell, outside the outer
surface of the shell and within the magnetized material of the
shell. Use SI units.

A spherical shell with inner radius r1 and outer radius r2 is
uniformly magnetized. Use Poisson’s relation to find the magnetic
field B inside the inner surface of the shell, outside the outer
surface of the shell and within the magnetized material of the
shell. Use SI units.

Answer with a drawing please!
A nonconducting spherical shell of inner radius R1 and
outer radius R2 contains a uniform volume charge density
ρ throughout the shell. Derive he magnitude of the
electric field at the
following radial distances r from the center of the
sphere:
a) r<R1
b) R1<r<R2
c) r>R2

A spherical, non-conducting shell of inner radius r1 = 7 cm and
outer radius r2= 16 cm carries a total charge Q = 18 nC distributed
uniformly throughout the volume of the shell. What is the magnitude
of the electric field at a distance r = 11 cm from the center of
the shell? (k = 1/4πε0 = 8.99 × 109 N.m2/C2)

Charge is distributed throughout a spherical shell of inner
radius r1 and outer radius r2 with a volume density given by ρ = ρ0
r1/r, where ρ0 is a constant. Determine the electric field due to
this charge as a function of r, the distance from the center of the
shell.
In this problem the volume charge density ρ is not uniform; it
is a function of r (distance from the center.)

A spherical dielectric shell has inner radius r1,
outer radius r2, and dielectric constant k. A charge Q
is placed at the center of the sphere.
(a) Determine the polarization P in the dielectric shell.
(b) Find the bound volume charge density, ρb, inside
the dielectric shell.
(c) Find the bound surface charge density, σb, at r =
r1 and r = r2.

A long, conductive cylinder of radius R1 = 3.40 cm and uniform
charge per unit length λ = 453 pC/m is coaxial with a long,
cylindrical, non-conducting shell of inner and outer radii R2 =
11.9 cm and R3 = 13.6 cm, respectively. If the cylindrical shell
carries a uniform charge density of ρ = 40.5 pC/m3, find the
magnitude of the electric field at the following radial distances
from the central axis:
R1 = 2.58 cm
R2 = 7.65...

A neutral hollow spherical conducting shell of inner radius 1.00
cm and outer radius 3.00 cm has a +2.00-µC point charge placed at
its center. Find the surface charge density how does the magnitude
of the charge and radius relate? How does a -2.00µC get involved in
this problem?

An insulating spherical shell with inner radius 25.0 cm and
outer radius 60.0 cm carries a charge of + 150.0 ?C
uniformly distributed over its outer surface. Point a is
at the center of the shell, point bis on the inner surface
and point c is on the outer surface.
Part A
What will a voltmeter read if it is connected between a
and b?
?Vab =
V
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Part B
What will a voltmeter read if it...

A nuclear fuel element consists of a solid cylindrical pin of
radius, r1 and thermal conductivity, kf. The fuel pin is in good
contact with a cladding material of radius, r2 and thermal
conductivity, kc. Consider steady state condition for which uniform
heat generation occurs within the fuel at a volumetric rate, g
(w/m3 ) and the outer surface of the cladding is exposed to a
coolant that is characterized by temperature, Tsur and convection
coefficient, h.
a) Obtain equations...

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