Question

A long, hollow, cylindrical conductor (inner radius 8.0 mm, outer radius 16.0 mm) carries a current of 16 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 16 A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the wire and cylinder? (a) 4.0 mm. _______T (b) 12.0 mm. _______ T (c) 20.0 mm. _______ T

Answer #1

Long, straight, cylindrical conductor of outer radius 17 mm
carries a current 25 A. A uniformly distributed over its cross
section. What is the magnitude of the magnetic field at a distance
2mm in ISI units.

A Coaxial cable consists of a solid inner cylindrical conductor
of radius 2 mm and an outer cylindrical shell of inner radius 3 mm
and outer radius 3.5 mm. A current of 15 A flows down the inner
wire and an equal return current flows in the outer conductor. If
we assume that the currents are uniform over the cross section of
the conductors, then calculate the magnetic field at a radius of
2.5 mm (use ampere's law) [A] 2.4...

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...

A long, cylindrical shell has an inner radius a and
outer radius b and carries a current i parallel
to the central axis. assume that within the material the current
density is uniformly distributed. Use Ampere's law to find
expressions for the magnetic field for (a) 0<r<a,
(b) a<r<b (c) r>b. Draw sketches and
carefully explain your work.

2.
A very long cylindrical cable is composed of an inner solid
cylinder of radius R1 and an outer hollow cylinder of radius R2. An
electrical current runs through the inner wire and returns through
the outer wire.(a) Write down the magnetic energy density function
for both inner and outer regions of the cable.(b) What is the
energy per unit length L, for all regions (for inner and outer
regions)

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 long cylindrical wire (radius = 2.0 cm) carries a current of
49 A that is uniformly distributed over the cross-section of the
wire. What is the magnitude of the magnetic field at a point which
is 1.5 cm from the axis of the wire?

A long cylindrical wire (radius = 2.0 cm) carries a current of
49 A that is uniformly distributed over the cross-section of the
wire. What is the magnitude of the magnetic field at a point which
is 1.5 cm from the axis of the wire?
0.18 mT
0.44 mT
0.37 mT
0.49 mT

The figure below shows a cross section of a long cylindrical
conductor of radius a = 4.14 cm containing a long
cylindrical hole of radius b = 1.56 cm. The central axes
of the cylinder and hole are parallel and are distance d =
2.03 cm apart; current i = 5.49 A is uniformly distributed
over the tinted area. (a) What is the magnitude of
the magnetic field at the center of the hole? (b)
What is the magnitude if...

2) A coaxial cable consists of a cylinder of radius ?
surrounding by a thin cylindrical shell of radius
⃗
2?. Suppose the cable is along the ?-axis. The current density in
inner cylinder is ? = (?0 + ??)?̂,
where ?0 > 0 and ? > 0 are constant. The current in the
outer shell, ?? ,is downward (−? direction).
a) Find the magnetic field in regions 0 < ? < ?, ? < ?
< 2? and 2?...

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