Question
In: Physics
The ?? plane carries the surface free current density ?⃗⃗⃗ =?0?̂. The free current is centered...
The ?? plane carries the surface free current density ?⃗⃗⃗ =?0?̂. The free current is centered within an infinite slab of linear material of permeability ?. The slab has a thickness 2 ? and is surrounded by free space. Find ?⃗⃗ , ?⃗⃗⃗ , ?⃗⃗⃗ , and the bound current densities everywhere. [Hint: For planar currents try always to draw a cross sectional view of the situation such that the current is out of the page]
Solutions
genius_generous answered 1 year agoRelated Solutions
Derive expressions for the surface current density and surface charge density, for the TE10 and TE11...
Derive expressions for the surface current density and
surface charge density, for the TE10 and TE11 modes of a
rectangular waveguide.
The old answers on Chegg are either wrong or
incomplete, please dont copy them.
Four lines from a square in the z = 0 plane, centered at the origin, with...
Four lines from a square in the z = 0 plane, centered at the
origin, with a side length of 2a. The lines at x = a and x = -a
have a positive charge density +λ0, and the lines at y = a and y =
-a have a negative charge density −λ0.
a. Find an expression for the potential at an arbitrary point
(x, y, z).
b. Use your result from part (a) to find the potential at...
5. A current loop sits in the x ? y plane, centered on the origin. At...
5. A current loop sits in the x ? y plane, centered on the
origin. At the origin, the magnetic field due to the loop points in
the positive z direction. What direction does the current in the
loop run when viewed from the positive z direction?
(a) Counter-clockwise.
(b) Clockwise.
(c) The current is zero.
(d) More information is needed.
6. Two long conducting wires sit parallel to one another. The
magnetic field at a point exactly half way...
A 5.0 mm diameter proton beam carries a total current of 1.5mA. The current density in...
A 5.0 mm diameter proton beam carries a total current of 1.5mA. The current density in the proton beam, which increases with distance from the center, is given by J = Jedge(r/R), where R is the radius of the beam and Jedge is the current density at the edge. I calculated that 9.375 x 10^15 protons are delivered by the proton beam each second, but I do not know where to start in calculating the value of Jedge. I am...
A long, horizontal wire AB rests on the surface of a table and carries a current...
A long, horizontal wire AB rests
on the surface of a table and carries a current I. Horizontal wire CD is vertically above wire AB and is
free to slide up and down on the two vertical metal guides C and D (the
figure ).
Wire CD is connected through the sliding contacts
to another wire that also carries a current I, opposite in direction to the current in wire AB. The mass per unit length of the wire CD...
A nonconducting disk has a radius R, carries a uniform surface charge density s, and rotates...
A nonconducting disk has a radius R, carries a uniform surface
charge density s, and rotates with angular speed w.
(a) Consider an annular strip that has radius ?, width ??, and
charge ??. Show that the
current produced by this strip is ?? = ?????.
(b) Show that the net magnetic field at the center of the disk
is ?)???⁄2.
(c) Find the magnetic field on the axis of the disk, a distance
z from the center.
A long, straight wire lies on a horizontal table in the xy-plane and carries a current...
A long, straight wire lies on a horizontal table in the
xy-plane and carries a current of 2.50 microA in
the positive x-direction along the x-axis. A
proton is traveling in the negative x-direction at speed
3.1 x 104 m/s a distance d above the wire.
a) If you consider the moving proton as a "current", in what
direction is the magnetic field produced by the moving proton at
the location of the long straight wire?
b) In what direction...
A straight wire lying in a horizontal plane carries a current of 20 A. (Given, μ0...
A straight wire lying in a horizontal plane carries a current of
20 A. (Given, μ0 = 4π × 10-7 Tm/A)
(a) Find the magnitude of the magnetic field at a perpendicular
distance of 35 cm from it on the plane. How do you know the
direction of the magnetic field?
(b) If the length of the current carrying straight wire is 0.75m
and it makes an angle of 60° with the Earth’s magnetic field 6×
10-5 T, find the...
A straight wire lying in a horizontal plane carries a current of 20 A. (Given, μ0...
A straight wire lying in a horizontal plane carries a current of
20 A. (Given, μ0 = 4π × 10-7 Tm/A)
(a) Find the magnitude of the magnetic field at a perpendicular
distance of 35 cm from it on the plane. How do you know the
direction of the magnetic field?
(b) If the length of the current carrying straight wire is 0.75m
and it makes an angle of 60° with the Earth’s magnetic field 6×
10-5 T, find the...
Find the expressions for the electric surface current density on the wall of a rectangular waveguide...
Find the expressions for the electric surface current density on
the wall of a rectangular waveguide for a TE10 mode.
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