Question

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.

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 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.

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...

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

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 cylindrical wire of radius R=2.3cm carries a current of I=5A
uniform distributed across its cross-section. Find an expression
(i.e. a formula) for the magnitude of the magnetic field created by
this current as a function of radius both inside and outside the
wire. Use this expression to determine the magnitude of the
magnetic field at the surface of the wire (i.e. at r=R). Denote
this magnitude by Bo. Is there a radius bigger than R where the
magnitude of...

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

Q.7 A cylindrical conductor with circular cross-section has
radius a and resistivity p and carries a constant current I in the
+j direction.
(c) What are the magnitude and direction of the Poynting vector
S at the same point ( just inside the wire at a distance a from the
axis)?
(d) Use the result in part (c) to find the rate of flow of
energy into the volume occupied by a length L of the conductor.
Compare your result...

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 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.

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