Question
In: Physics
a 100-meter long cylindrical wire of radius 4 meters and charge 8 nC. a) Calculate the...
a 100-meter long cylindrical wire of radius 4 meters and charge 8 nC.
a) Calculate the electric field at r = 2, r = 4, and r = 6 meters away from the center of the cylindrical wire if it is a conducting cylindrical wire and the electric flux through a cylindrical wire given by those radii.
b) Calculate the same things if it is an insulating cylindrical wire of uniform charge density.
c) Calculate the same things if it is an insulating cylindrical wire of non-uniform charge density,
Solutions
genius_generous answered 2 years agoRelated Solutions
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 100 meter long wire carrying a current of .4 amps into the board is at...
A 100 meter long wire carrying a current of .4 amps into the
board is at (-5, 0) meters and another 100-m long wire carrying a
current of .6 amps out of the board is at (+3, 0) meters.
a) Find the Magnetic Force between these charges.
b) Where can a third wire be placed so that it experiences no
force? Where can it be placed on the x-axis so it experiences a
force of magnitude 5 μN (the wire...
a) A cylindrical length of wire has a radius of 4 mm and a length of...
a) A cylindrical length of wire has a radius of 4 mm and a
length of 10 cm. If the length is growing at a rate of 2 cm/sec and
the radius is shrinking at a rate of 1 mm/sec, what is the rate of
change of the volume in cm3/sec at that point in time. (Be careful
of units)
b) Consider the same length of wire as before (radius of 4 mm
and length of 10 cm). This time...
The current density inside a long, solid, cylindrical wire of radius a = 5.0 mm is...
The current density inside a long, solid, cylindrical wire of
radius a = 5.0 mm is in the direction of the central axis
and its magnitude varies linearly with radial distance r
from the axis according to J =
J0r/a, where
J0 = 220 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 2.7 mm
and (c) r=5.0 mm from the center.
A coaxial cable consists of a long cylindrical copper wire of radius r1 surrounded by a...
A coaxial cable consists of a long cylindrical copper wire of
radius r1 surrounded by a cylindrical insulating shell of outer
radius r2 . A final conducting cylindrical shell of outer radius r3
surrounds the insulating shell. The wire and conducting shell carry
equal but opposite currents I uniformly distributed over their
volumes. What is the current density j(r) for all r? Find formulas
for the magnetic field in each of the regions.
Consider a cylindrical wire of radius R (indefinitely long) that carries a total steady current I...
Consider a cylindrical wire of radius R (indefinitely long) that
carries a total steady current I such that there is a constant
current density j across the profile of the wire (for the first
part of this task, consider just a current density in vacuum)
a) in order to calculate the magnetic induction it is suitable
to work in cylindrical coordinates. Considering Boundary conditions
at ρ→∞, the magnetic induction ca be written as B=B_ρ (ρ,φ,z) e_ ρ
+ B_ φ(ρ,φ,z)e_...
Consider a cylindrical wire of radius R (indefinitely long) that carries a total steady current I...
Consider a cylindrical wire of radius R (indefinitely long) that
carries a total steady current I such that there is a constant
current density j across the profile of the wire (for the first
part of this task, consider just a current density in vacuum)
a) in order to calculate the magnetic induction it is suitable
to work in cylindrical coordinates. Considering Boundary conditions
at ρ→∞, the magnetic induction ca be written as B=B_ρ (ρ,φ,z) e_ ρ
+ B_ φ(ρ,φ,z)e_...
A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5...
A long cylindrical rod of 100 mm radius consists of a nuclear
material (k = 0.5 W/m-K) generating 24 kW/m3 uniformly throughout
its volume. The rod is enclosed within a tube having an outer
radius of 200 mm and a thermal conductivity of 4 W/m-K. The outer
surface is exposed to a convection environment at 100 C with a
convective heat transfer coefficient of 20 W/m2-k.
a) Calculate the heat rate per unit length being convected away
from the rod....
A long cylindrical rod of 100 mm radius consists of a nuclear material (k = 0.5...
A long cylindrical rod of 100 mm radius consists of a nuclear
material (k = 0.5 W/m-K) generating 24 kW/m3 uniformly throughout
its volume. The rod is enclosed within a tube having an outer
radius of 200 mm and a thermal conductivity of 4 W/m-K. The outer
surface is exposed to a convection environment at 100 C with a
convective heat transfer coefficient of 20 W/m2-k.
a) Calculate the heat rate per unit length being convected away
from the rod....
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