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5. An infinitely long cylinder of radius R carries a frozen-in" magietization parallel to z-axis and...
#6) (25 pts total) An infinitely long cylinder of radius R carries a “frozen-in” magnetization parallel...
#6) (25 pts total) An infinitely long cylinder of radius R carries a “frozen-in” magnetization parallel to the axis M = kpa, where k is a constant and pis the distance from the axis. (a) (12 pts) Calculate all the bound currents. (b) (13 pts) Find the magnetic field, B, inside and outside of the cylinder. (This is for cylindrical coordinates where "s" is the same as “p”)
(2) 4.[4pts) An infinitely long cylinder of radius R carries NO free current but magnetization M=ks,...
(2) 4.[4pts) An infinitely long cylinder of radius R carries NO free current but magnetization M=ks, where k > 0 is a constant and s is the cylindrical radius from the axis. Find the magnetic field B due to M both inside and outside of the cylinder.
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...
3) Didn't I just ask this? A long circular cylinder of radius R carries a magnetization...
3) Didn't I just ask this? A long circular cylinder of radius R carries a magnetization M ksp, where k is a constant, s is the distance from the axis, and ф is the azimuthal unit vector. a) Use ф H- dl = hemet to determine the auxiliary field (H field) both inside and outside of the cylinder b) use H = (110)2-M to determine the magnetic field (B-field) both inside and outside of the cylinder
An infinitely long cylinder with axis aloong the z-direction and radius R has a hole of...
An infinitely long cylinder with axis aloong the z-direction and
radius R has a hole of radius a bored parallel to and
centered a distance b from the cylinder axis
(a+b<R). The charge density is uniform and total
charge/length
is placed on the cylinder. Find the magnitude and direction of the
electric field in the hole.
Problem 3: An infinitely long solid cylinder of radius 2 m along the z-axis carries a...
Problem 3: An infinitely long solid cylinder of radius 2 m along the z-axis carries a volume current density of in the z-Direction. An infinitely long current filament at y 5 m in the x-z plane carried a current of A in the -z direction. Find the force per unit length on the filament.
A long, straight, solid cylinder, oriented with its axis in the z−direction, carries a current whose...
A long, straight, solid cylinder, oriented with its axis in the z−direction, carries a current whose current density is J⃗ . The current density, although symmetrical about the cylinder axis, is not constant but varies according to the relationship J⃗ =2I0πa2[1−(ra)2]k^forr≤a=0forr≥a where a is the radius of the cylinder, r is the radial distance from the cylinder axis, and I0 is a constant having units of amperes. A)Using Ampere's law, derive an expression for the magnitude of the magnetic field...
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...
1. Suppose that you place an uncharged, infinitely long metal cylinder of radius a in ain initial...
1. Suppose that you place an uncharged, infinitely long metal cylinder of radius a in ain initially uniform electric field EEo, such that the cylinder's axis lies along the z axis. The resulting electrostatic potential is V(x,y, z)V for points inside the cylinder, and Еда 2x V(x, y, z)-Й-Box + x2+3,2 for points outside the cylinder, where Vo is the (constant) electrostatic potential on the conductor. (a) Find the electric field, E, from the given voltage. (b) Find the charge...
only 5 hos 5. A long solid right circular cylinder of radius R carries a current...
only 5
hos 5. A long solid right circular cylinder of radius R carries a current I, which is uniformly distributed. Find the magnetic field everywhere, both inside and outside the cylinder. 6. A long solenoid of area A = TtR,? and turns per unit length n carries a current i = lycoswt. Find the electric field at a distance r from the axis of the solenoid. Distinguish between the cases r > R: and r < Rs. 7. A...
#6) (25 pts total) An infinitely long cylinder of radius R carries a “frozen-in” magnetization parallel to the axis M = kpa, where k is a constant and pis the distance from the axis. (a) (12 pts) Calculate all the bound currents. (b) (13 pts) Find the magnetic field, B, inside and outside of the cylinder. (This is for cylindrical coordinates where "s" is the same as “p”)
(2) 4.[4pts) An infinitely long cylinder of radius R carries NO free current but magnetization M=ks, where k > 0 is a constant and s is the cylindrical radius from the axis. Find the magnetic field B due to M both inside and outside of the cylinder.
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...
3) Didn't I just ask this? A long circular cylinder of radius R carries a magnetization M ksp, where k is a constant, s is the distance from the axis, and ф is the azimuthal unit vector. a) Use ф H- dl = hemet to determine the auxiliary field (H field) both inside and outside of the cylinder b) use H = (110)2-M to determine the magnetic field (B-field) both inside and outside of the cylinder
An infinitely long cylinder with axis aloong the z-direction and
radius R has a hole of radius a bored parallel to and
centered a distance b from the cylinder axis
(a+b<R). The charge density is uniform and total
charge/length
is placed on the cylinder. Find the magnitude and direction of the
electric field in the hole.
Problem 3: An infinitely long solid cylinder of radius 2 m along the z-axis carries a volume current density of in the z-Direction. An infinitely long current filament at y 5 m in the x-z plane carried a current of A in the -z direction. Find the force per unit length on the filament.
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...
1. Suppose that you place an uncharged, infinitely long metal cylinder of radius a in ain initially uniform electric field EEo, such that the cylinder's axis lies along the z axis. The resulting electrostatic potential is V(x,y, z)V for points inside the cylinder, and Еда 2x V(x, y, z)-Й-Box + x2+3,2 for points outside the cylinder, where Vo is the (constant) electrostatic potential on the conductor. (a) Find the electric field, E, from the given voltage. (b) Find the charge...
only 5
hos 5. A long solid right circular cylinder of radius R carries a current I, which is uniformly distributed. Find the magnetic field everywhere, both inside and outside the cylinder. 6. A long solenoid of area A = TtR,? and turns per unit length n carries a current i = lycoswt. Find the electric field at a distance r from the axis of the solenoid. Distinguish between the cases r > R: and r < Rs. 7. A...
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