A long solenoid of cylindrical shape, having n turns of wire per unit length, carries a...
A long solenoid of cylindrical shape, having n turns of wire per
unit length, carries a current I. Find the
magnetic force acting on a small area, A, of the solenoid surface.
Neglect magnetic permeability of the
material inside the solenoid
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A long solenoid of cylindrical shape, having n turns of wire per
unit length, carries a...
Question 3 A long solenoid with n turns per unit length of current I is wrapped around a cylindri...
Question 3 A long solenoid with n turns per unit length of current I is wrapped around a cylindrical magnetic core of permeability μ μ0Hm The cylindrical core, extending along the z-axis, has radius α n turns per unit length, current I per turn Magnetic material of μ (a) If the solenoid is considered as infinite in length, it can be shown that the magnetic field, expressed in cylindrical coordinates, is: r> a Apply Ampere's law, using the rectangular path...
6. A long solenoid of area A = TR12 and turns per unit length n carries...
6. A long solenoid of area A = TR12 and turns per unit length n carries a current i = locoswt. Find the electric field at a distance r from the axis of the solenoid. Distinguish between the cases r > R1 and r< R1.
1. An infinite solenoid has n turns per unit length, a radius R, and carries a...
1. An infinite solenoid has n turns per unit length, a radius R, and carries a current I. The magnitude of the magnetic field inside the solenoid is given by B = Mon, pints along the solenoid, and vanishes outside. (a) Find the magnitude of the vector potential, A, at a radius r inside the solenoid. (b) Find the magnitude of the vector potential, A, at a radius r outside the solenoid. Check that your answers agree on the boundary,...
A solenoid with 500 turns of wire per cm carries a current of 0.5A. It has...
A solenoid with 500 turns of wire per cm carries a current of 0.5A. It has a length of 20.0cm and a diameter of 1.0cm. (Please show equations used) a. What is the magnitude of the magnetic field inside the solenoid? b. What is the magnetic flux in the center of the solenoid through a plane lying perpendicular to the long axis of the solenoid? c. What is the magnetic flux through a plane that contains the long axis of...
12-11 Consider a very long solenoid of N/I turns per unit length and radius R, Such...
12-11 Consider a very long solenoid of N/I turns per unit length and radius R, Such that the field inside is approximately uniform and the field outside is zero. Find the radial force on one turn of the winding, per unit length of circumference, from the magnetic energy. (a) Assume that the current I is maintained constant by a batterv (b) Repeat assuming that the flux remains constant and the system is isolated (with superconducting windings).
solenoid current 4. A long solenoid with n turns per unit length and radius a is...
solenoid current
4. A long solenoid with n turns per unit length and radius a is surrounded by a single loop of wire of radius r, and resistance R. (The loop and solenoid are concentric, and r>a). The current in the solenoid varies aslo e-at. Find an expression for the current induced in the loop.
2. A solengid has n turns per unit length. The radius of solenoid is R. A...
2. A solengid has n turns per unit length. The radius of solenoid is R. A circular loop of wire with 10 turns and radius r<R lies along the axis of the solenoid near the middle of its length. If the current ie he circular loop is I, find the magnetic flux through the solenoid. 3. Two tiny wire loops with areas ar and az are situated a distance r apart. Find their mutual inductance,
A cylindrical solenoid has a length of l = 160 cm. It is wound tightly with...
A cylindrical solenoid has a length of l = 160 cm. It is wound tightly with 4800 turns of wire, and the wire carries a current I = 4.0 μA. What is the magnetic field inside the solenoid?
A right circular solenoid of finite length L and radius a has N turns per unit...
A right circular solenoid of finite length L and radius a has N
turns per unit length and carries a current I. Show that the
magnetic induction on the cylinder axis in the limit NL→∞
Bz= μ₀NI(cosθ₁+cosθ₂)/2 where the angles are defined in the
figure.
A right-circular solenoid of finite length L and radius a has N turns per unit length and carries a current I. Show that the magnetic induction on the cylinder axis in the limit NL-oo is...
A long solenoid (cross-sectional area = 0.79 x 10-6 m2, number of turns per unit length...
A long solenoid (cross-sectional area = 0.79 x 10-6 m2, number of turns per unit length = 3523 turns/m) is bent into a circular shape so it looks like a doughnut. This wire-wound doughnut is called a toroid. Assume that the diameter of the solenoid is small compared to the radius of the toroid, which is 0.041 m. Find the emf induced in the toroid when the current decreases from 2.5 A to 1.1 A in a time of 0.15...
Question 3 A long solenoid with n turns per unit length of current I is wrapped around a cylindrical magnetic core of permeability μ μ0Hm The cylindrical core, extending along the z-axis, has radius α n turns per unit length, current I per turn Magnetic material of μ (a) If the solenoid is considered as infinite in length, it can be shown that the magnetic field, expressed in cylindrical coordinates, is: r> a Apply Ampere's law, using the rectangular path...
6. A long solenoid of area A = TR12 and turns per unit length n carries a current i = locoswt. Find the electric field at a distance r from the axis of the solenoid. Distinguish between the cases r > R1 and r< R1.
1. An infinite solenoid has n turns per unit length, a radius R, and carries a current I. The magnitude of the magnetic field inside the solenoid is given by B = Mon, pints along the solenoid, and vanishes outside. (a) Find the magnitude of the vector potential, A, at a radius r inside the solenoid. (b) Find the magnitude of the vector potential, A, at a radius r outside the solenoid. Check that your answers agree on the boundary,...
12-11 Consider a very long solenoid of N/I turns per unit length and radius R, Such that the field inside is approximately uniform and the field outside is zero. Find the radial force on one turn of the winding, per unit length of circumference, from the magnetic energy. (a) Assume that the current I is maintained constant by a batterv (b) Repeat assuming that the flux remains constant and the system is isolated (with superconducting windings).
solenoid current
4. A long solenoid with n turns per unit length and radius a is surrounded by a single loop of wire of radius r, and resistance R. (The loop and solenoid are concentric, and r>a). The current in the solenoid varies aslo e-at. Find an expression for the current induced in the loop.
2. A solengid has n turns per unit length. The radius of solenoid is R. A circular loop of wire with 10 turns and radius r<R lies along the axis of the solenoid near the middle of its length. If the current ie he circular loop is I, find the magnetic flux through the solenoid. 3. Two tiny wire loops with areas ar and az are situated a distance r apart. Find their mutual inductance,
A right circular solenoid of finite length L and radius a has N
turns per unit length and carries a current I. Show that the
magnetic induction on the cylinder axis in the limit NL→∞
Bz= μ₀NI(cosθ₁+cosθ₂)/2 where the angles are defined in the
figure.
A right-circular solenoid of finite length L and radius a has N turns per unit length and carries a current I. Show that the magnetic induction on the cylinder axis in the limit NL-oo is...
A long solenoid (cross-sectional area = 0.79 x 10-6 m2, number of turns per unit length = 3523 turns/m) is bent into a circular shape so it looks like a doughnut. This wire-wound doughnut is called a toroid. Assume that the diameter of the solenoid is small compared to the radius of the toroid, which is 0.041 m. Find the emf induced in the toroid when the current decreases from 2.5 A to 1.1 A in a time of 0.15...
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