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PROBLEM 02.05 A uniform current with the surface current density K flows along an infinite conducting...
PROBLEM 02.03 A uniform steady current / flows down a straight, infinitely long, non-magnetic wire of...
PROBLEM 02.03 A uniform steady current / flows down a straight, infinitely long, non-magnetic wire of radius a. The wire is imbedded in a non-conducting, infinite linear medium with relative permeability p Find the magnetization MC), the magnetic field B(), the field H), and all the bound currents as functions of the radial distance r from the wire's axis.
A current sheet with surface current density K = 94 Am flows in the region-2 m...
A current sheet with surface current density K = 94 Am flows in the region-2 m < y < 2 m (implies infinite in x axis) the plane atz -0. Calculate magnetic field intensity H at position P = (0, 0, 3) meters. 少
3. (20 points) A sphere is made of a linear magnetic material of magnetic permeability p. It is p...
3. (20 points) A sphere is made of a linear magnetic material of magnetic permeability p. It is placed in a uniform applied magnetic field Boż. Calculate the B-field inside the sphere, and the surface bound current density on the surface of the sphere.
3. (20 points) A sphere is made of a linear magnetic material of magnetic permeability p. It is placed in a uniform applied magnetic field Boż. Calculate the B-field inside the sphere, and the surface bound...
A conducting disk of a radius a and a small height h is made of a...
A conducting disk of a radius a and a small height h is made of
a material
of a finite conductivity σ and a permeability o μ . It is placed on
the xyplane
in the presence of a uniform, time-varying, magnetic flux
density
B = azBo cos ωt as shown in Fig. 6.14. Ignoring time-delay of emf
at
different points on the disk, and neglecting the magnetic field
induced by
the current in the disk, compute
(a) induced emf...
At time t=0 a uniform surface current K = Kj is suddenly switched on in the...
At time t=0 a uniform surface current K = Kj is suddenly switched on in the entire x-y plane. K is a constant and everything is set in an infinite uniformiy magnetized linear isotropic homogenous material with permeability and magnetic susceptibility xm (which is not a dielectric, i.e. ? = €9). You may assume that the current appears everywhere on the plane at the same instant (which is not realistic since it implies instantaneous transfer of current to infinity). Now...
An infinite line of charge with a uniform linear charge density λ runs along the ˆz-axis....
An infinite line of charge with a uniform linear charge density
λ runs along the ˆz-axis. This line also lies along the axis of an
infinite dielectric shell, of dielectric constant K, whose inner
radius is a and whose outer radius is b, and an infinite, neutral
conducting shell whose inner radius is b and whose outer radius is
c.
a. What is the electric field everywhere in space?
b. What is the surface charge density on the inner surface...
Alternating current flows parallel to the surface of a semi-infinite slab of conducting material. At what...
Alternating current flows parallel to the surface of a semi-infinite slab of conducting material. At what depth is the current density reduced to (a) 10 per cent and (b) 1 per cent of the surface value? At what depth is the phase of the current density (c) 90°, and (d) 180 lagging on the surface value? (Answer (a) 2.34, (b) 4.64, (c) 1.574, and (d) 3.141.)
Two infinite parallel planes have uniform charge density σA = σ and σB = 2σ. There...
Two infinite parallel planes have uniform charge density σA = σ and σB = 2σ. There is a conducting plate placed a distance s from plane A. The plate has thickness d. (a)Compute the electric field in region II. (b)Compute the electric field in region III. (c)Compute the potential difference, ∆VII , between the left plane and the conductor. (d)Compute the potential difference, ∆VIII , across the conductor.
6, (10 points) An infinite plane has a uniform surface charge density σ on its surface....
6, (10 points) An infinite plane has a uniform surface charge density σ on its surface. Adjacent to it is an infinite parallel layer of charge of thickness d and uniform volume charge density p. The situation is illustrated on the right. All charges are fixed. Find E everywhere.
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
PROBLEM 02.03 A uniform steady current / flows down a straight, infinitely long, non-magnetic wire of radius a. The wire is imbedded in a non-conducting, infinite linear medium with relative permeability p Find the magnetization MC), the magnetic field B(), the field H), and all the bound currents as functions of the radial distance r from the wire's axis.
A current sheet with surface current density K = 94 Am flows in the region-2 m < y < 2 m (implies infinite in x axis) the plane atz -0. Calculate magnetic field intensity H at position P = (0, 0, 3) meters. 少
3. (20 points) A sphere is made of a linear magnetic material of magnetic permeability p. It is placed in a uniform applied magnetic field Boż. Calculate the B-field inside the sphere, and the surface bound current density on the surface of the sphere.
3. (20 points) A sphere is made of a linear magnetic material of magnetic permeability p. It is placed in a uniform applied magnetic field Boż. Calculate the B-field inside the sphere, and the surface bound...
A conducting disk of a radius a and a small height h is made of
a material
of a finite conductivity σ and a permeability o μ . It is placed on
the xyplane
in the presence of a uniform, time-varying, magnetic flux
density
B = azBo cos ωt as shown in Fig. 6.14. Ignoring time-delay of emf
at
different points on the disk, and neglecting the magnetic field
induced by
the current in the disk, compute
(a) induced emf...
At time t=0 a uniform surface current K = Kj is suddenly switched on in the entire x-y plane. K is a constant and everything is set in an infinite uniformiy magnetized linear isotropic homogenous material with permeability and magnetic susceptibility xm (which is not a dielectric, i.e. ? = €9). You may assume that the current appears everywhere on the plane at the same instant (which is not realistic since it implies instantaneous transfer of current to infinity). Now...
An infinite line of charge with a uniform linear charge density
λ runs along the ˆz-axis. This line also lies along the axis of an
infinite dielectric shell, of dielectric constant K, whose inner
radius is a and whose outer radius is b, and an infinite, neutral
conducting shell whose inner radius is b and whose outer radius is
c.
a. What is the electric field everywhere in space?
b. What is the surface charge density on the inner surface...
Alternating current flows parallel to the surface of a semi-infinite slab of conducting material. At what depth is the current density reduced to (a) 10 per cent and (b) 1 per cent of the surface value? At what depth is the phase of the current density (c) 90°, and (d) 180 lagging on the surface value? (Answer (a) 2.34, (b) 4.64, (c) 1.574, and (d) 3.141.)
6, (10 points) An infinite plane has a uniform surface charge density σ on its surface. Adjacent to it is an infinite parallel layer of charge of thickness d and uniform volume charge density p. The situation is illustrated on the right. All charges are fixed. Find E everywhere.
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
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