Find the electrical potential (in all space) produced by:
d) A straight line with linear charge density.
e) A volumetric density of charge, spherical and radius .
f) A disk of radius that has a surface
density of charge (on its axis).
Homework Answers
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Find the electrical potential (in all space) produced by:
d) A straight line with linear charge...
For an infinitely thin and infinitely long straight wire which carries homogeneous line charge, We were...
For an infinitely thin and infinitely long straight wire which
carries homogeneous line charge,
We were unable to transcribe this imagea) Determine the charge density p(r). b) Calculate directly (eg. without use of Gauss' theorem) the electric field E and its potential p.
The figure shows two nonconducting spherical shells fixed in place. Shell 1 has uniform surface charge...
The figure shows two nonconducting spherical shells fixed in
place. Shell 1 has uniform surface charge density +5.4 C/m2 on
its outer surface and radius 4.0 cm; shell 2 has uniform surface
charge density +3.0 C/m2 on
its outer surface and radius 2.4 cm; the shell centers are
separated by L = 11.7 cm. What is the x-component (with sign) of
the net electric field at x = 2.4 cm?
We were unable to transcribe this imageWe were unable to...
30 Line 1 An infinite line of charge with linear density 6.4pC/m is positioned along the...
30 Line 1 An infinite line of charge with linear density 6.4pC/m is positioned along the axis of a thick conducting shell of inner radius a . 2.8 cm and outer radius b-4.6 cm and infinite length. The conducting shell is uniformly charged with a linear charge density A 2-4.4 HC/m 1) What is E(P), the electric field at point P, located at (x,y) (-10.6 cm, 0 cm)? N/C Submit 2) What is EyIP), the electric field at point P,...
(a) A sphere with radius R rotates with constant angular velocity . A uniform charge distribution...
(a) A sphere with radius R rotates with constant angular velocity . A uniform charge distribution is fixed on the surface. The total charge is q. Calculate the current density in this scenario where . Show how the E-field is calculated using Gauss' Law and the direction (in spherical coordinates) of the current density. We were unable to transcribe this imageWe were unable to transcribe this image7 =
An infinite line of charge with a uniform linear charge density λ runs along the ˆz-axis....
An infinite line of charge with a uniform linear charge density
λ runs along the ˆz-axis. This line also lies along the axis of an
infinite dielectric shell, of dielectric constant K, whose inner
radius is a and whose outer radius is b, and an infinite, neutral
conducting shell whose inner radius is b and whose outer radius is
c.
a. What is the electric field everywhere in space?
b. What is the surface charge density on the inner surface...
A charge is glued on the cylindrical surface of a long circular cylinder of radius R....
A charge
is glued on the cylindrical surface of a long circular cylinder of
radius R. The cylinder is made of a linear dielectric material of
dielectric constant
.
Find the electric field inside the cylinder and show that this
field is uniform.
If a small metal sphere of radius a (a<< R) gets into the
center of the cylinder, find the total dipole moment of the setup
by all charges: free charge, bound charge, and induced charge,
given the...
Two electrical charges q1 = 10nC and q2- -8nC are placed, the first charge being a sphere of radius "c" and the second loadinga spherical shell with internal radius "a" and exter...
Two electrical charges q1 = 10nC and q2- -8nC are placed, the first charge being a sphere of radius "c" and the second loadinga spherical shell with internal radius "a" and external radius "b" Calculate a) The density of volumetric load for any point in space b) The electric field c) The electric potential potential d) The electric flow that passes through the sphere centered at the origin with radius r 0.5 (a b)
Two electrical charges q1 = 10nC...
dq Given a continuous charge distribution consisting of: A line charge of length L with linear...
dq Given a continuous charge distribution consisting of: A line charge of length L with linear charge density X A semicircular disc of radius R with surface charge density σ 11. The charge distribution is placed along the x-axis as shown in the figure. The linear charge density is uniform, λ Λο where Λ01s a constant, and the surface charge density varies as σ-00*sin (9) where .00 1s a constant over_charge dq Assume the potential of this distribution is zero...
A neutral hydrogen atom in its normal state behaves like an electric charge distribution that consists...
A neutral hydrogen atom in its normal state behaves like an electric charge distribution that consists of a point charge of magnitude surrounded by a distribution of negative charge whose density is given by . Here m is the Bohr radius, and is a constant with the value required to make the total amount of negative charge exactly . What is the electric field strength for radius ? What is the electric field strength at radius ? We were unable...
At point moves in a straight line with velocity given by at the time seconds, where...
At point
moves in a straight line with velocity
given by
at the time
seconds, where
.
(a) Determine the first time
, at which
has zero velocity,
(b) (i) Find an expression for the acceleration of
at time
.
(ii) Find the value of the acceleration of
at time
.
We were unable to transcribe this imageums We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageti We were unable...
For an infinitely thin and infinitely long straight wire which
carries homogeneous line charge,
We were unable to transcribe this imagea) Determine the charge density p(r). b) Calculate directly (eg. without use of Gauss' theorem) the electric field E and its potential p.
The figure shows two nonconducting spherical shells fixed in
place. Shell 1 has uniform surface charge density +5.4 C/m2 on
its outer surface and radius 4.0 cm; shell 2 has uniform surface
charge density +3.0 C/m2 on
its outer surface and radius 2.4 cm; the shell centers are
separated by L = 11.7 cm. What is the x-component (with sign) of
the net electric field at x = 2.4 cm?
We were unable to transcribe this imageWe were unable to...
30 Line 1 An infinite line of charge with linear density 6.4pC/m is positioned along the axis of a thick conducting shell of inner radius a . 2.8 cm and outer radius b-4.6 cm and infinite length. The conducting shell is uniformly charged with a linear charge density A 2-4.4 HC/m 1) What is E(P), the electric field at point P, located at (x,y) (-10.6 cm, 0 cm)? N/C Submit 2) What is EyIP), the electric field at point P,...
An infinite line of charge with a uniform linear charge density
λ runs along the ˆz-axis. This line also lies along the axis of an
infinite dielectric shell, of dielectric constant K, whose inner
radius is a and whose outer radius is b, and an infinite, neutral
conducting shell whose inner radius is b and whose outer radius is
c.
a. What is the electric field everywhere in space?
b. What is the surface charge density on the inner surface...
A charge
is glued on the cylindrical surface of a long circular cylinder of
radius R. The cylinder is made of a linear dielectric material of
dielectric constant
.
Find the electric field inside the cylinder and show that this
field is uniform.
If a small metal sphere of radius a (a<< R) gets into the
center of the cylinder, find the total dipole moment of the setup
by all charges: free charge, bound charge, and induced charge,
given the...
Two electrical charges q1 = 10nC and q2- -8nC are placed, the first charge being a sphere of radius "c" and the second loadinga spherical shell with internal radius "a" and external radius "b" Calculate a) The density of volumetric load for any point in space b) The electric field c) The electric potential potential d) The electric flow that passes through the sphere centered at the origin with radius r 0.5 (a b)
Two electrical charges q1 = 10nC...
dq Given a continuous charge distribution consisting of: A line charge of length L with linear charge density X A semicircular disc of radius R with surface charge density σ 11. The charge distribution is placed along the x-axis as shown in the figure. The linear charge density is uniform, λ Λο where Λ01s a constant, and the surface charge density varies as σ-00*sin (9) where .00 1s a constant over_charge dq Assume the potential of this distribution is zero...
At point
moves in a straight line with velocity
given by
at the time
seconds, where
.
(a) Determine the first time
, at which
has zero velocity,
(b) (i) Find an expression for the acceleration of
at time
.
(ii) Find the value of the acceleration of
at time
.
We were unable to transcribe this imageums We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageti We were unable...
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