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.
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A right circular solenoid of finite length L and radius a has N
turns per unit...
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,
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...
Example 7.10. A short solenoid (length l and radius a, with n turns per unit length)...
Example 7.10. A short solenoid (length l and radius a, with n turns per unit length) lies on the axis of a very long solenoid (radius b, n2 turns per unit length) as shown in Fig. 7.32. Curren I flows in the short solenoid. What is the flux through the long solenoid? FIGURE 7.32
A solenoid of length L=30.4cm and radius R=3.5cm , has turns density n=1340 (number of turns...
A solenoid of length L=30.4cm and radius R=3.5cm , has turns density n=1340 (number of turns per meter). The solenoid carries a current I=19.5 Amper. Calculate the magnetic field on the solenoid axis, at a distance l=14.8cm from one of the edges of the solenoid. ?7m
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,...
An infinite solenoid has radius b and n turns per unit length. The current varies in...
An infinite solenoid has radius b and n turns per unit length.
The current varies in time according to
(with positive defined as shown). A ring with radius
and resistance R is centred on the solenoid axis, with its plane
perpendicular to the axis. (a) What is the induced current in the
ring? (b) A given little piece of the ring will feel a magnetic
force. For what values of t is this force maximum? (c) What is the
effect...
Ampère's Law A long solenoid of radius a consists of n = N/L coils per unit...
Ampère's Law A long solenoid of radius a consists of n = N/L coils per unit length and carries current to the right. Calculate the magnetic field inside and outside the solenoid far from the ends. 4,
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.
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
A solenoid has 495 closely spaced turns, a length of 12.0 cm, a radius of 3.00...
A solenoid has 495 closely spaced turns, a length of 12.0 cm, a radius of 3.00 cm, and carries a current of 18.5 A. Determine the magnitude of the magnetic flux through the following. 12R FR R2 (a) the disk-shaped area of radius twice that of the solenoid that is perpendicular to and centered on the axis of the solenoid as shown in the figure What is the definition of magnetic flux through a region? For this part, what is...
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,
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...
Example 7.10. A short solenoid (length l and radius a, with n turns per unit length) lies on the axis of a very long solenoid (radius b, n2 turns per unit length) as shown in Fig. 7.32. Curren I flows in the short solenoid. What is the flux through the long solenoid? FIGURE 7.32
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,...
An infinite solenoid has radius b and n turns per unit length.
The current varies in time according to
(with positive defined as shown). A ring with radius
and resistance R is centred on the solenoid axis, with its plane
perpendicular to the axis. (a) What is the induced current in the
ring? (b) A given little piece of the ring will feel a magnetic
force. For what values of t is this force maximum? (c) What is the
effect...
Ampère's Law A long solenoid of radius a consists of n = N/L coils per unit length and carries current to the right. Calculate the magnetic field inside and outside the solenoid far from the ends. 4,
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.
A solenoid has 495 closely spaced turns, a length of 12.0 cm, a radius of 3.00 cm, and carries a current of 18.5 A. Determine the magnitude of the magnetic flux through the following. 12R FR R2 (a) the disk-shaped area of radius twice that of the solenoid that is perpendicular to and centered on the axis of the solenoid as shown in the figure What is the definition of magnetic flux through a region? For this part, what is...
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