A steady current I flows down a long cylindrical wire of radius a. The current is...
A steady current I flows down a long cylindrical wire of radius a. The current is distributed in such a way that the current density is J = C0 s^2 zˆ, where s is the radial distance from the axis of the wire and C0 is a constant. (a) Find the magnetic field, B~ out, outside the wire at s > a. (b) Find the magnetic field, B~ in, inside the wire at s ≤ a. (c) Find the constant C0 in terms of I and a
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A steady current I flows down a long cylindrical wire of radius
a. The current is...
4. A steady current I flows down a long cylindrical wire of radius a. (a) Find...
4. A steady current I flows down a long cylindrical wire of radius a. (a) Find the magnetic field, both inside and outside the wire, if the current is uniformly dis- tributed over the outside surface of the wire. (b) Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that the current density J is proportional to s2, where s is the distance from the axis. (c) Show that your answers to (a)...
b inside a current carrying wire A steady current I flows through a wire of radius...
b inside a current carrying wire
A steady current I flows through a wire of radius a. The current density in a wire varies with ras ) = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using thru /j. dA. Use...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...
The current density inside a long, solid, cylindrical wire of radius a = 4.0 mm is...
The current density inside a long, solid, cylindrical wire of
radius a = 4.0 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 = 390 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c)
r=4.0 mm from the center.
Chapter 29, Problem 047 The current density inside a lon ,...
A cylindrical non-magnetic wire, radius R, carries a uniform steady current I. Find H inside and...
A cylindrical non-magnetic wire, radius R, carries a uniform steady current I. Find H inside and outside the wire. If the current is 30 kA, what is the field in T at a distance of 1 m?
The current density inside a long, solid, cylindrical wire of radius a = 4.8 mm is...
The current density inside a long, solid, cylindrical wire of radius a = 4.8 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 = 330 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 3.2 mm and (c) r=4.8 mm from the center.
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.
The current density inside a long, solid, cylindrical wire of radius a = 2.6 mm is...
The current density inside a long, solid, cylindrical wire of radius a = 2.6 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 = 410 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 1.3 mm and (c) r=2.6 mm from the center. Please explain your steps/solution.
Consider a cylindrical wire of radius R (indefinitely long) that carries a total steady current I...
Consider a cylindrical wire of radius R (indefinitely long) that carries a total steady current I such that there is a constant current density j across the profile of the wire (for the first part of this task, consider just a current density in vacuum) a) in order to calculate the magnetic induction it is suitable to work in cylindrical coordinates. Considering Boundary conditions at ρ→∞, the magnetic induction ca be written as B=B_ρ (ρ,φ,z) e_ ρ + B_ φ(ρ,φ,z)e_...
A cylindrical conductor of inner radius a and outer radius b carries a steady current I....
A cylindrical conductor of inner radius a and outer radius b
carries a steady current I. The current density in the conductor is
uniform. Find B? as a function of the radial distance from the
cylinder’s axis.
4. A cylindrical conductor of inner radius a and outer radius b carries a steady current I. The current density in the conductor is uniform. Find B as a function of the radial distance from the cylinder's axis. EN
4. A steady current I flows down a long cylindrical wire of radius a. (a) Find the magnetic field, both inside and outside the wire, if the current is uniformly dis- tributed over the outside surface of the wire. (b) Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that the current density J is proportional to s2, where s is the distance from the axis. (c) Show that your answers to (a)...
b inside a current carrying wire
A steady current I flows through a wire of radius a. The current density in a wire varies with ras ) = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using thru /j. dA. Use...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...
The current density inside a long, solid, cylindrical wire of
radius a = 4.0 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 = 390 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c)
r=4.0 mm from the center.
Chapter 29, Problem 047 The current density inside a lon ,...
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 cylindrical conductor of inner radius a and outer radius b
carries a steady current I. The current density in the conductor is
uniform. Find B? as a function of the radial distance from the
cylinder’s axis.
4. A cylindrical conductor of inner radius a and outer radius b carries a steady current I. The current density in the conductor is uniform. Find B as a function of the radial distance from the cylinder's axis. EN
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