Question

When a current I is applied to an infinitely long cylindrical conductor made of a magnetic material with permeability μ and having a radius a, find the magnetic field H and magnetic flux density B created inside and outside the conductor

Answer #1

A straight conductor of cylindrical cross section and of radius
a carries a current I, which is uniformly
distributed over the conductor cross section. Find the magnetic
flux density within and outside the conductor.

A long cylindrical wire of radius R, made from a linear material
with a magnetic susceptibility of Xm , carries a volume
current density J = ks ẑ along the z-axis.
For all below please include magnitude and direction:
(a) Find the auxiliary field H, the magnetic field B, and the
magnetization M inside the wire
(b) Find the auxiliary field H, the magnetic field B, and the
magnetization M outside the wire
(c) Find the bound current densities Jb...

A long cylindrical wire made of a magnetic metal with relative
permeability has a uniform current density ??J flowing along its
length. An insulated wire runs along the axis of the cylinder and
carries a current I. Find the magnetic field, magnetic induction,
magnetization, and bound currents in the magnetic material.

Q)))) A long cylindrical wire made of a magnetic metal with
relative permeability μ_R has a uniform current density J flowing
along its length. An insulated wire runs along the axis of the
cylinder and carries a current I. Find the magnetic field, magnetic
induction, magnetization, and bound currents in the magnetic
material.

Solid cylindrical wire of infinitely length has radius R. I, a
current, is flowing in the z direction. Through the cross section
of the wire, the current flow is uniformly distributed.
1. Find the current density vector J in the wire. Show your
steps and be clear on the formulas.
2. What's the magnitude of the magnetic field at points outside
the wire? Use Ampere’s Law.
3. What's the magnitude of the magnetic field at points inside
the wire? Again,...

A long cylindrical conductor of radius 90cm carries a current.
The current density is not uniform over the cross section of the
wire, instead is is given as J = 10r2. Find the magnetic field in
terms of microT at a point 45cm. Note that you'll need to
understand the previous question to answer this one.

A very long coaxial cable consists of a solid cylindrical inner
conductor of radius R1 surrounded by an outer cylindrical conductor
with inner radius R2 and outer radius R3. The region between the
two conductors is filled with a waxlike insulating material to keep
the conductors from touching each other.
Part A If the inner and outer conductors carry equal currents I
in opposite directions, use Ampère's law to derive an expression
for the magnetic field as a function of...

An infinitely long solid cylindrical cable (radius R, centered
on the z-axis) carries a volume current ?⃗ = (??^5) ?̂, The cable
is surrounded by a concentric, infinitely long solenoid (radius 3R,
n turns /m) carrying a current ?0.
a. Find expressions for the magnetic field in all regions of
space.
b. Graph the field as a function of position along the
x-axis.
c. Find the force on a segment of wire from (x = 4R, y = 0, z...

An infinitely long solid cylindrical cable (radius R, centered
on the z-axis) carries a volume current ?⃗ = (??^5) ?̂, The cable
is surrounded by a concentric, infinitely long solenoid (radius 3R,
n turns /m) carrying a current ?0.
a. Find expressions for the magnetic field in all regions of
space.
b. Graph the field as a function of position along the
x-axis.
c. Find the force on a segment of wire from (x = 4R, y = 0, z...

Consider a long straight rod of radius R carrying a constant
current I of uniform current density. The material of the rod has a
very small susceptibility, so you can use χm = 0.
A straight long rod with radius R and constant current I with
uniform current density, it's susceptibility is considered zero, χm
= 0.
1)Calculate outside and inside of the rod, the magnetic
field.
2)Include both outside and inside. Roughly sketch a graph of
radial position versus...

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