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what is magnetic moment associated with a solenoid

by Gussie Gleason Published 2 years ago Updated 2 years ago
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Solution : The magnitude of magnetic moment of the solenoid is, `M = n xx 2l xx i xx pi a^(2)` <br> where, 'n' is number of turns, '2l' is length of the solenoid, 'i' is current passing through coil, and 'a' is area of cross section of solenoid.Jun 27, 2022

Full Answer

What is the force acting on the solenoid of a magnet?

Since the magnetic field is uniform on the solenoid, force acting on the solenoid is 0. The direction of the torque is such that the solenoid tends to align the axis of the solenoid (magnetic moment vector) along the direction of magnetic field .

What are the practical applications of a solenoid?

Solenoids have many practical implications and they are mainly used to create magnetic fields or as electromagnets. A solenoid is a combination of closely wound loops of wire in the form of helix, and each loop of wire has its own magnetic field (magnetic moment or magnetic dipole moment).

How do you find the magnetic field of a solenoid?

The solenoid with current acts as the source of magnetic field. If the solenoid is closely wound, each loop can be approximated as a circle. Here we determine the magnetic field of the solenoid using Ampere's law. Figure 2 The magnetic field lines are nearly straight lines inside the solenoid.

Why are there still magnetic field lines outside the solenoid?

There are still magnetic field lines outside the solenoid as the magnetic field lines form closed loops. What has been found from the careful investigations is that the half of these lines leak out through the windings and half appear through the ends.

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What is the magnetic moment associated?

The magnetic moment is associated with its spin angular momentum and orbital angular momentum.

What is the magnetic moment of the solenoid in a bar magnet?

Since a bar magnet and a corresponding solenoid produce similar magnetic fields. Hence the magnetic moment of a bar magnet is equal to the magnetic moment of an equivalent solenoid that produces the same magnetic field.

Is a solenoid a magnetic dipole?

The solenoid is an electromagnet and it will show magnetic properties only when the electric current is passed through it.

What is a magnetic moment easy definition?

Magnetic moment, also known as magnetic dipole moment, is the measure of the object's tendency to align with a magnetic field. “Magnetic Moment is defined as magnetic strength and orientation of a magnet or other object that produces a magnetic field.”

How does the magnetic field of a solenoid differ from that of a permanent magnet?

A solenoid produce a strong magnetic field whose strength can be changed by changing the current through it whereas the magnetic field of a permanent magnet is comparatively weak and its strength cannot be changed.

How do you find the area of a solenoid?

Let S=πr2 be the (approximate) surface of a single winding of my coil and N=l2πr the number of windings, then Stot=SN, so Stot=πr2l2πr=lr2 which, given l constant, is a straight line and means that as I get my solenoid bigger in radius, the total area gets the maxinum value, which does not seem right.

What is unit of magnetic moment?

Magnetic moment is the strength of magnet. Its SI units is amp×m2 or N−m tesla or JT−1.

How do you find the magnetic moment?

0:4311:44Magnetic Moment Calculation | Spin Only Magnetic Moment - YouTubeYouTubeStart of suggested clipEnd of suggested clipMoment especially spin on a spin on a magnetic moment there is a special formula. This is so-calledMoreMoment especially spin on a spin on a magnetic moment there is a special formula. This is so-called mu of s mu means magnetic moment s is denoted these magnetic moments related to spin. So called the

What is the formula of magnetic field of solenoid?

The magnetic field in a solenoid formula is given as B=μ0 nl, where B represents the magnetic flux density, μ0 is the magnetic constant whose value is 4π x 10-⁷ Hm or 12.57 x 10−⁷ Hm, N represents the number of turns, I is the current flowing through the solenoid, and l is the length of the solenoid.

What are the three different types of magnetic moment?

The resultant magnetic moment of an atom is the vector sum of the orbital and spin magnetic moment. On the basis of magnetic properties, substances are classified into three groups namely diamagnetic, paramagnetic and ferromagnetic.

What is the effect on magnetic moment?

The magnetic field of a magnetic dipole is proportional to its magnetic dipole moment. The dipole component of an object's magnetic field is symmetric about the direction of its magnetic dipole moment, and decreases as the inverse cube of the distance from the object.

What is magnetic dipole moment and the direction of magnetic dipole moment?

The magnetic dipole moment is a vector quantity with direction perpendicular to the current loop in the right-hand-rule direction. From south pole to North pole of a bar magnet. The direction of magnetic dipole moment is from south pole to north pole of a bar magnet.

How is a solenoid like a bar magnet?

A solenoid is a long coil of circular loops of insulated copper wire. Magnetic field lines are produced around the solenoid when a current is allowed to flow through it. The magnetic field produced by it is similar to the magnetic field of a bar magnet.

How is a solenoid similar to a bar magnet?

A solenoid behaves like a bar magnet when a current is passed through it. It's one end of behaves as Magnetic North Pole and the other end as Magnetic South Pole. Like in a bar magnet, the field lines emerge from one end and merge into another.

What is solenoid class 10th?

A solenoid is a coil of wire bound across a corkscrew-shaped piston, usually made of iron. Electromagnets have the advantage over permanent magnetic materials in that they can be switched on and off by changing the electrical field, making them useful as controls and switches that can be automated.

Why the magnetic field is equal in solenoid class 10?

The lines of magnetic field pass through the solenoid and return to the end. The magnetic field lines inside the solenoid are in the form of parallel straight lines. This indicates that the strength of the magnetic field is the same at all the point inside the solenoid.

What is the magnetic moment of a short bar magnet?

The direction of the torque is such that the solenoid tends to align the axis of the solenoid (magnetic moment vector) along the direction of magnetic field . A short bar magnet has a magnetic moment of 0.48 J T–1.

What is the magnetic field of Earth?

i.e., total magnetic field is 0.54 G in the direction of earth's field.

Is the angle of dip antiparallel to the Earth's magnetic field?

In this case is antiparallel to the earth's field. Since angle of dip is zero, the horizontal component of the earth's magnetic field equals the field itself. In this case

How to determine the magnetic field of a solenoid?

We consider a solenoid carrying current I I as shown in Figure 2. The current in each loop of the solenoid creates magnetic field and the combination of such magnetic fields creates a greater magnetic field. The solenoid with current acts as the source of magnetic field. If the solenoid is closely wound, each loop can be approximated as a circle. Here we determine the magnetic field of the solenoid using Ampere's law.

What is the purpose of a solenoid?

Magnetic Field of a Solenoid. Solenoids have many practical implications and they are mainly used to create magnetic fields or as electromagnets. A solenoid is a combination of closely wound loops of wire in the form of helix, and each loop of wire has its own magnetic field (magnetic moment or magnetic dipole moment).

How many loops are there in a solenoid?

In Figure 5, a closely wound solenoid is shown. There are three loops namely 1, 2 and 3. To apply Ampere's law to determine the magnetic field within the solenoid, loop 1 encloses no current, and loop 3 encloses a net current of zero. Note that within the closed path of loop 3 the currents into the screen cancel the current out of the screen (here the screen means your computer screen or smart phone's).

What is the number of turns per unit length of a toroidal solenoid?

In case of toroidal solenoid, the number of turns per unit length is N /2πr N / 2 π r. So, substituting this value for n n in Equation (1) (1), you'll get Equation (2) (2). So a toroidal solenoid satisfies the equation of magnetic field of closely wound long straight solenoid.

Which loop encloses current among the three?

The only loop that encloses current among the three is loop 2 with radius r r. If N N is the number of turns in the solenoid. Now, we apply Ampere's law around the loop 2 to determine the magnetic field of toroidal solenoid. As always, use right hand rule to determine the direction of integration path to avoid negative current in the result, that is make →B B → and d→l d l → parallel at each point of the integration path not antiparallel.

What is the total current enclosed by the closed path?

If n n is the number of turns per unit length, there are nL n L turns in length L L, therefore the total current enclosed by the closed path is nL n L times I I , that is nLI n L I. So according to Ampere's law we have,

Is the magnetic field outside the solenoid weaker than the outside?

The magnetic field outside the solenoid is much weaker as the outside volume is much greater than that of the inside and very little field exist s around the center of the solenoid (outside).

How to determine magnetic moment?

Magnetic moment is generated by the following two methods: 1 The motion of Electric Charge 2 Spin Angular Momentum

What is the net magnetic moment in diamagnetic material?

Similarly, all the spins are almost paired. Hence the net magnetic moment in the diamagnetic material is zero. Put your understanding of this concept to test by answering a few MCQs.

What is Magnetic Dipole Moment?

A Magnetic Dipole comprises two unlike poles of equivalent strength and parted by a small distance.

How are magnetic moments measured?

Magnetic moments are typically measured by instruments known as magnetometers. But not all magnetometers are aligned to measure the magnetic moment directly. Some of these devices measure magnetic fields only and from the measured magnetic field, the magnetic moment is measured.

What is the force on a magnetic dipole?

The force on a magnetic dipole is because of both the poles of the magnet, and we consider the magnetic dipole of a bar magnet and assume that the magnet is kept in an unbroken magnetic field B. In that situation, the force on the separate poles is articulated as

How many electrons does Mn2+ have?

Mn2+ ion has 5 unpaired electrons. By using magnetic moment for spin formula √n(n+2) n ( n + 2), where n is 5. We get the magnetic moment of Mn2+ as 5.96.

Which direction does the magnetic moment point?

The direction of the magnetic moment points from the south to the north pole of a magnet. The magnetic field created by a magnet is directly proportional to the magnetic moment.

What are field lines outside the ideal solenoid?

The field lines outside the ideal solenoid are circular, like those for a line of current.

What is the unit of magnetic flux?

The unit of magnetic flux is T.m2= Wb

What does Gauss' law say about magnetism?

Gauss’s Law in magnetism therefore says that the magnetic flux through any closed surface is always zero.

What happens if you put a magnetic field around a transmission cable?

If you place your loop around the cable, there are no field lines passing through the loop, so no emf is induced.

Where can a magnetic field be produced?

A reasonably uniform magnetic field can be produced in the space surrounded by the turns of the wire – in other words, in the interior of the solenoid.

When is the flux maximum?

The flux is maximum when the field is perpendicular to the plane (i.e. θ = 0⁰)

Do magnetic fields begin or end at any point?

Remember: Magnetic fields do not begin or end at any point.

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1.What is the magnetic moment of solenoid? - Quora

Url:https://www.quora.com/What-is-the-magnetic-moment-of-solenoid

7 hours ago The solenoid behaves like a bar magnet only when the current flows through it. The current also makes an impact on the strength of the magnetic field. An ideal solenoid has zero outer magnetic fields while has uniform magnetic fields inside it.Magnetic moment can be …

2.What is the magnetic moment associated with a solenoid?

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8 hours ago Click here👆to get an answer to your question ️ A closely wound solenoid of 2000 turns and area of cross - section 1.6 × 10^-4 m^2 , carrying a current of 4.0 A, is suspended through its centre allowing it to turn in a horizontal plane. (a) What is the magnetic moment associated with the solenoid? (b) What is the force and torque on the solenoid if a uniform horizontal magnetic …

3.(a) What is the magnetic moment associated with the …

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29 hours ago (a) Given, Number of turns of coil, N = 2000Area of cross-section of solenoid, A= 1.6 x 10–4 m2Current passing through the coil, I = 4 AMagnetic moment , M = NIA = 2000 × 4 × 1.6 × 10-4 =1.28 Am2 The direction of M→ is along the axis of the solenoid in the direction related to the sense of current via the right handed screw rule.

4.(a) What is the magnetic moment associated with the …

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32 hours ago Number of turns on the solenoid, n = 2000 Area of cross-section of the solenoid, A = 1.6 × 10-4 m2 Current in the solenoid, I = 4 A (a) The magnetic moment along the axis of the solenoid is calculated as: M = n.A.I = 2000 × 1.6 × 10-4 m2 x 4A = 1.28 Am2 (b) Magnetic field, B = 7.5 × 10-2 T Angle between the magnetic field and the axis of the solenoid, θ = 30° τ = MBsinθ = 1.28 JT-1 …

5.Magnetic Field of a Solenoid - Physics Key

Url:https://www.physicskey.com/magnetic-field-solenoid

8 hours ago  · What is the magnetic moment associated with solenoid 'N' turns having radius of cross section'r' with current … Get the answers you need, no… jayaprakash14414325 jayaprakash14414325 15.03.2020 Physics Secondary School answered what is the magnetic moment associated with solenoid 'N' turns having radius of cross …

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4 hours ago What is the magnetic moment associated with a solenoid ? [TS 181 A: Magnetic Moment of a Solenoid: The magnetic moment associated with a solenoid is …

7.Magnetic Moment - Definition, Formation, Magnetic …

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21 hours ago The magnetic flux associated with a magnetic field is defined in a way similar to the way we defined the electric flux associated with an electric field. Consider an area element dA on an arbitrarily shaped surface. The magnetic field in this element is B. dA is a vector that is perpendicular to the surface and has a magnitude equal to the area dA.

8.If a solenoid of magnetic moment 0.2Am^2 in a uniform …

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9.The Magnetic Field of a Solenoid - UNSW Sites

Url:http://mcba11.phys.unsw.edu.au/~mcba/PHYS1121/FourthLecture.pdf

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