Question

An infinitely long cylinder of radius a oriented along the z-axis has uniform magnetization M =...

An infinitely long cylinder of radius a oriented along the z-axis has uniform magnetization M = M?. Determine a) the volume magnetization current Jm, b) the surface magnetization current Jms, c) the B-field inside and outside the cylinder, and d) the H-field inside and outside the cylinder.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An infinitely long cylinder (radius R, centered along the z-axis) carries a surface charge distribution σ(s...
An infinitely long cylinder (radius R, centered along the z-axis) carries a surface charge distribution σ(s = R,φ) = σ0 (4sinφ + 6cos2φ) . Using electricity and magnetism a. Find expressions for the potential and electric field at arbitrary points inside and outside the cylinder. b. Find the force on a test charge 3q at the point (x = 3R, y = R, z = 4R), assuming the test charge is too small to affect the potentials / fields found...
An infinitely long cylinder of radius a consists of a uniform linear dielectric with electric susceptibility...
An infinitely long cylinder of radius a consists of a uniform linear dielectric with electric susceptibility χe. A line charge with charge per unit length λ runs along the axis of the cylinder. a. What is E everywhere? b. What is the polarization inside the cylinder? c. What are the bound volume and surface charge densities?
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.
A short circular cylinder of radius R and length L carries a "frozen-in" uniform magnetization M...
A short circular cylinder of radius R and length L carries a "frozen-in" uniform magnetization M parallel to its axis. Sketch the magnetization M and the magnetic field B of the cylinder for L>>R, L<<R, L=R, and L=2R. for the last case, include H in the sketch.
Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R =...
Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 12 cm. The volume charge density ρ is 3.6 nC/m3. Find the magnitude of the electric field E (a) inside the cylinder, a distance r = 6.6 cm from the cylinder axis, and (b) outside the cylinder, a distance r = 24 cm from the cylinder axis.
An infinitely long solid cylindrical cable (radius R, centered on the z-axis) carries a volume current...
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...
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 two infinitely long, concentric cylinders, with their axes along the z-axis. The inner solid cylinder...
Consider two infinitely long, concentric cylinders, with their axes along the z-axis. The inner solid cylinder has radius a = 0.08 m and carries a current Ia=4.5 A directed out of the page. This current is uniformly distributed throughout the cylinder. The outer (hollow) cylinder has radius b = 0.16 m, and carries current Ib = 7.5 A into the page as shown in the figure. 1) What is the magnitude of the magnetic field at point A (y=0.04 m)...
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...
An infinitely long solid insulating cylinder of radius a = 2 cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 2 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 27 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.8 cm, and outer radius c = 17.8 cm. The conducting shell has a linear charge density λ = -0.37μC/m. 1) What is Ey(R), the y-component of the electric field...