Question

A long cylindrical wire of radius R, made from a linear material with a magnetic susceptibility...

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 and Kb of the wire, and show that the total current passing through the wire at any point is zero

(d) Calculate the magnetic field of B inside and outside the wire without invoking H or M (Hint: use J, Jb, and Kb) Check that this is the same as your answer from part a and b

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A long cylindrical wire made of a magnetic metal with relative permeability has a uniform current...
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...
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.
Consider a long cylinder of magnetic material with radius R. The magnetization of the material is...
Consider a long cylinder of magnetic material with radius R. The magnetization of the material is given by mos2 where s is the radial distance and is aligned with the cylinders long axis (i.e. z hat direction), where mo is a constant.  Determine the bound currents used to describe this magnetization. Show the total bound current is zero. Use the currents to find the magnetic field inside and outside the magnetic material. Plot |B| as a function of s.
I need parts a-e clearly specified. 7) A toroidal sample of magnetic material of susceptibility χm...
I need parts a-e clearly specified. 7) A toroidal sample of magnetic material of susceptibility χm = 2 x 10-2 is wound with 1000 turns of wire carrying a current of 2 amps. The toroid is 15 cm long. a) Find the solenoidal current density Jfree b) Determine the magnetic field intensity H produced by the current. c) Calculate μ, the magnetic permeability of the material. d) Calculate the induced magnetization M in the material. e) Calculate the magnetic field...
Solid cylindrical wire of infinitely length has radius R. I, a current, is flowing in the...
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,...
In a conductive and infinite cylindrical wire, the radius R is flowing from right to left,...
In a conductive and infinite cylindrical wire, the radius R is flowing from right to left, see drawing. The current density across the cross-sectional area of ​​the wire is not uniform but varies by the following expression : J (r) = b · r Where r is the distance from the center of the cylinder cross-section (radius axis) and b is constant. A) Calculate the size of the general current flowing in the wire (I). B) Calculate the magnitude and...
When a current I is applied to an infinitely long cylindrical conductor made of a magnetic...
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
A long cylindrical wire (radius = 2.0 cm) carries a current of 49 A that is...
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?
The current density inside a long, solid, cylindrical wire of radius a = 3.6 mm is...
The current density inside a long, solid, cylindrical wire of radius a = 3.6 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 = 420 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 2.0 mm and (c) r=3.6 mm from the center.
The current density inside a long, solid, cylindrical wire of radius a = 2.3 mm is...
The current density inside a long, solid, cylindrical wire of radius a = 2.3 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 = 380 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 1.6 mm and (c) r=2.3 mm from the center.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT