Question
In: Physics
There is a solid, spherical dielectric (radius = 3 m) with a total charge of 30...
There is a solid, spherical dielectric (radius = 3 m) with a total charge of 30 μC and with uniform charge density. What is the electric field strength and the electric potential at
-the center? (answer is 0 N/C and 135,000 V just show the work)
-a distance 2 m from the center? (answer is 20,000 N/C and 115,000 V just show the work)
Solutions
genius_generous answered 2 years agoRelated Solutions
A solid dielectric cylinder of length L and radius R has a uniform charge per unit...
A solid dielectric cylinder of length L and radius R has a
uniform charge per unit volume ρ. Derive a mathematical expression
for the electric field E ! at a point on the axis of the cylinder,
a distance z above the center of the cylinder, and outside the
cylinder, i.e., for z > L/2. {Simplify and express your answer
in terms of the given parameters and fundamental constants.
A solid spherical ball of radius 4 meters has a charge of 8 nC. a) Calculate...
A solid spherical ball of radius 4 meters has a charge of 8
nC.
a) Calculate the electric potential at r = 2, r = 4, and r = 6
meters away from the center of the ball if it is a conducting
sphere.
b) Calculate the same things if it is an insulating sphere of
uniform charge density.
c) Calculate the same things if it is an insulating sphere of
non-uniform charge density, ρ = kr2
Answers should be:...
A solid spherical ball of radius 4 meters has a charge of 8 nC. a) Calculate...
A solid spherical ball of radius 4 meters has a charge of 8
nC.
a) Calculate electric flux through the sphere at r = 2, r = 4,
and r = 6 meters away from the center of the ball if it is a
conducting sphere
b) Calculate the same things if it is an insulating sphere of
uniform charge density.
c) Calculate the same things if it is an insulating sphere of
non-uniform charge density, ρ = kr2
A solid conducting sphere of radius a carries a net positive charge 2Q. A conducting spherical...
A solid conducting sphere of radius a carries a net positive
charge 2Q. A conducting spherical shell of inner radius b and outer
radius c is concentric with the solid sphere and carries a net
charge –Q. Let c > b > a.
a) Discuss the distribution of the charges.
b) Calculate the surface charge density on the three
surfaces i. radius a ii. radius b iii. radius c.
c) Find the electric field in all the regions. Express this...
A spherical ball of charge has radius R and total charge Q. The electric field strength...
A
spherical ball of charge has radius R and
total charge Q. The electric field strength inside the ball (r?R)
is E(r)=
Emax=(r4/R4)
A) What is
Emax in terms of Q and R? Express your
answer in terms of the variables Q, R, and appropriate
constants.
B) Find
an expression for the volume charge density ?(r) inside the ball as
a function of r. Express your answer in terms of
the variables Q, r, R, and appropriate constants.
A spherical conductor carries a charge −30 μC and has a radius of 20 cm. a)...
A spherical conductor carries a charge −30 μC and has a radius
of 20 cm.
a) Determine the electric field and potential at all points in
space.
b) Calculate the values of the field and potential at the
following points:
i) r = 20 cm, ii) r = 15 cm, iii) r = 40 cm.
A spherical shell has inner radius RinRin and outer radius RoutRout. The shell contains total charge...
A spherical shell has inner radius RinRin and outer radius
RoutRout. The shell contains total charge QQ, uniformly
distributed. The interior of the shell is empty of charge and
matter.
Part A
Find the electric field strength outside the shell,
r≥Routr≥Rout.
Part B
Part complete
Find the electric field strength in the interior of the shell,
r≤Rinr≤Rin.
Part C
Find the electric field strength within the shell,
Rin≤r≤RoutRin≤r≤Rout.
There is a dielectric sphere with radius a [m] and relative permittivity εr. This dielectric has...
There is a dielectric sphere with radius a [m] and relative
permittivity εr. This dielectric has a uniform charge density
ρ
[C / m3)
This dielectric sphere has an inner radius b [m] (a <b).
It shall be surrounded by a hollow grounded conductor. The center
of the dielectric sphere
Answer the following questions as if the centers are the
same.
(1) Find the electric flux density and electric field at each
location.
(2) Find the energy density stored in...
A solid sphere of radius a is uniformly charged with a total charge Q > 0....
A solid sphere of radius a is uniformly charged with a total
charge Q > 0.
a. Use Gauss’s law to determine the electric field
everywhere.
b. Where is the magnitude of the electric field the
largest?
c. What is its value there?
d. Find two distances from the centre of the sphere where the
electric field has half of its maximum value.
1) A dielectric sphere with a dielectric constant εr = 3 and a radius a =...
1) A dielectric sphere with a dielectric constant εr = 3 and a
radius a = 2 m has a uniformly distributed total charge of Q = 1 μC
on the surface. The environment outside the sphere is the cavity.
Electrostatic energy in the cavity; Calculate separately with the
formulas i) ?=1/2∫????? and ii) ?=1/2∫?⃗ ?⃗⃗ ??. How did the
results you find change if the sphere was conductive?
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