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Magnetic dipole moment of a coil

Magnetic dipole moment of a coil

Symbol: m or j Also called: magnetic moment Compare electromagnetic moment. Switch to new thesaurus. Mentioned in? References in periodicals archive? The nuclear spin of the hydrogen proton of human body produces the magnetic dipole moment. In MRI, a strong DC magnetic field is applied to make the magnetic dipole moments process around the direction of the DC magnetic field with the procession frequency proportional to the magnetic field strength.

The serial resonant antenna for the large field of view magnetic resonance imaging. The detumbling module of the algorithm is based on the popular B-dot control, here rearranged to explicitly generate a magnetic dipole moment constantly orthogonal to the geomagnetic field vector. Electrons don't spin, it is just shorthand for "maintaining their magnetic dipole moment.

For the given magnetic dipole moment [M. Also here we analyze similar dependencies for the magnetic dipole moment. The influence of the electric field on the AB oscillation and the nanotubes magnetic dipole moment is considered in Section 4.

Borehole electromagnetic method for exploration of coal mining goaf. The magnetic dipole moment is a vector quantity, so it has both magnitude energy and direction. Australia : One step closer to finding the spin nematic. The equal and opposite poles produce a magnetic dipole moment with magnitude equal to the product of the separation distance and the value of the positive pole [1, Art.

Reflections on Maxwell's Treatise. The magnetism arises from the magnetic dipole moment of unpaired electrons in the d- or f-orbitals.

magnetic dipole moment of a coil

Magnetic polymers. Study on macroscopic and microscopic mechanical behavior of magnetorheological elastomers by representative volume element approach. If the material that fills the volume V has a continuous distribution of magnetic dipole moment per unit volume, then Determination of location and depth of mineral rocks at Olode village in Ibadan, Oyo State, Nigeria, using geophysical methods.

Dictionary browser? Full browser?Symbol: m or j Also called: magnetic moment Compare electromagnetic moment. Switch to new thesaurus. Mentioned in? References in periodicals archive?

The nuclear spin of the hydrogen proton of human body produces the magnetic dipole moment. In MRI, a strong DC magnetic field is applied to make the magnetic dipole moments process around the direction of the DC magnetic field with the procession frequency proportional to the magnetic field strength.

The serial resonant antenna for the large field of view magnetic resonance imaging. The detumbling module of the algorithm is based on the popular B-dot control, here rearranged to explicitly generate a magnetic dipole moment constantly orthogonal to the geomagnetic field vector.

Electrons don't spin, it is just shorthand for "maintaining their magnetic dipole moment. For the given magnetic dipole moment [M. Also here we analyze similar dependencies for the magnetic dipole moment. The influence of the electric field on the AB oscillation and the nanotubes magnetic dipole moment is considered in Section 4. Borehole electromagnetic method for exploration of coal mining goaf.

The equal and opposite poles produce a magnetic dipole moment with magnitude equal to the product of the separation distance and the value of the positive pole [1, Art. Reflections on Maxwell's Treatise. The magnetism arises from the magnetic dipole moment of unpaired electrons in the d- or f-orbitals.

Magnetic polymers. Study on macroscopic and microscopic mechanical behavior of magnetorheological elastomers by representative volume element approach. If the material that fills the volume V has a continuous distribution of magnetic dipole moment per unit volume, then Determination of location and depth of mineral rocks at Olode village in Ibadan, Oyo State, Nigeria, using geophysical methods.

Dictionary browser? Full browser?From the expression for the torque on a current loopthe characteristics of the current loop are summarized in its magnetic moment.

Magnetic Torque and Magnetic Dipole Moment

The magnetic moment can be considered to be a vector quantity with direction perpendicular to the current loop in the right-hand-rule direction. The torque is given by. As seen in the geometry of a current loop, this torque tends to line up the magnetic moment with the magnetic field B, so this represents its lowest energy configuration.

The potential energy associated with the magnetic moment is. These relationships for a finite current loop extend to the magnetic dipoles of electron orbits and to the intrinsic magnetic moment associated with electron spin.

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Also important are nuclear magnetic moments. The torque on a current-carrying coil, as in a DC motorcan be related to the characteristics of the coil by the " magnetic moment " or "magnetic dipole moment".

The torque exerted by the magnetic force including both sides of the coil is given by. The direction of the magnetic moment is perpendicular to the current loop in the right-hand-rule direction, the direction of the normal to the loop in the illustration.

Considering torque as a vector quantitythis can be written as the vector product. Since this torque acts perpendicular to the magnetic moment, then it can cause the magnetic moment to precess around the magnetic field at a characteristic frequency called the Larmor frequency. If you exerted the necessary torque to overcome the magnetic torque and rotate the loop from angle zero to degrees, you would do an amount of rotational work given by the integral.

The position where the magnetic moment is opposite to the magnetic field is said to have a higher magnetic potential energy.

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Magnetic Dipole Moment From the expression for the torque on a current loopthe characteristics of the current loop are summarized in its magnetic moment. Index Magnetic force applications Magnetic field concepts.

Torque on a Current Loop The torque on a current-carrying coil, as in a DC motorcan be related to the characteristics of the coil by the " magnetic moment " or "magnetic dipole moment".

The torque exerted by the magnetic force including both sides of the coil is given by The coil characteristics can be grouped as called the magnetic moment of the loop, and the torque written as The direction of the magnetic moment is perpendicular to the current loop in the right-hand-rule direction, the direction of the normal to the loop in the illustration.

Index Magnetic force Magnetic force applications.A bar magnet with magnetic dipole moment 0. A compass is located at the origin.

Magnetic Dipole Moment of a Coil

Magnetic North is in the negative z direction. Between the bar magnet and the compass is a coil of wire of radius 1.

The distance from the center of the coil to the center of the compass is 9. The distance from the center of the bar magnet to the center of the compass is A steady current of 0. Conventional current runs counter-clockwise in the coil when viewed from the location of the compass. Bcoil, right hand rule, points toward compass, so Bmagnet will point away, so South would be closer.

According to evidence on the bottom of the Atlantic Ocean, such reversals have taken place many times in the past.

Calculate the Magnitude of Magnetic Moment Associated with the Coil. - Physics

As lava squeezes out from between the continental plates on the sea floor, magnetic minerals in the lava become "frozen" in place as the lava solidifies. The directions of their magnetic moments indicate the current direction of the Earth's moment when the lava haardened.

Analysis of this hardened lava shows that these "frozen" moment signature reverse every so often. I forget what the period is, but I think it's a lot more often than the mass extinctions we already know about. Besides, even if we are killed by a magnetic field reversal, so what? We're nothing worth existing here, and another life form - possibly at least as "intelligent" than us - will eventually follow.

Things live and die, species come and go. Live in the moment - it's all you really have anyway, magnetic field or not. Despite the presence of the coil and the bar magnet, the compass points North. How many turns of wire are in the coil?

Answer Save. Favorite Answer. What i got with my math Bmagnet: 7. Still have questions? Get your answers by asking now.Here we will study about the Magnetic field at the center of a circular coil.

Current Loop as a Magnetic Dipole

Here we will study about the number of cases. Consider a circular coil of radius r through which current I is flowing. The loop can be supposed to consists of a number of small elements placed side by side. The magnetic field due to all the elements will be in the same direction. So, the net magnetic field at P is given by. Similarly if we consider another small element just diametrically opposite to this element then. The same will hold for such other pairs of current elements.

Therefore, due to the various current elements, the components of magnetic field is only along PX will contribute to the magnetic field due to the whole loop at point P. Magnetic dipole moment of the current loop. The current loop can be regarded as a magnetic dipole which produces its magnetic field and magnetic dipole moment of the current loop is equal to the product of ampere turns and area of current loop.

Save my name, email, and website in this browser for the next time I comment. By eSaral. February 14, Class 12 - Physics. Here we will study about the number of cases Magnetic Field at the Centre of a Circular Coil Magnetic dipole moment of the current loop Magnetic Field at the Center of a Circular Current-Carrying Coil Consider a circular coil of radius r through which current I is flowing.

Magnetic dipole moment of the current loop The current loop can be regarded as a magnetic dipole which produces its magnetic field and magnetic dipole moment of the current loop is equal to the product of ampere turns and area of current loop. Leave a comment Cancel Please enter comment.

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magnetic dipole moment of a coil

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Magnetic Dipole Moment of a Coil. Thread starter jumbogala Start date Apr 12, Homework Statement You have a coil of N turns, with current I through it. It is in a magnetic field B, which causes it to feel a torque. Give an expression for its magnetic dipole moment.

Any ideas? Redbelly98 Staff Emeritus. Science Advisor. Homework Helper. Insights Author. There's an equation that relates torque to B and magnetic dipole moment. Are we to assume the torque is a known, eg.

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Without thinking through the problem completely, I'd say that equation is likely to be helpful here. Thanks though! Are any numbers given in the problem at all? I don't see how you can answer this, without having the area The reason I asked if any numbers were given is that the phrasing "give an expression for" could mean that it's a symbolic reasoning problem in which case you already have the answer for the first part - you gave it in your original post - and the second part is simply a matter of plugging your answer for the first part into the relevant equation.

magnetic dipole moment

Nope, no numbers are given at all. Last edited: Apr 13, Well, if there are no numbers, then you're just supposed to find a symbolic expression for the quantities. Plug that into the formula for torque, and you'll have your expression for torque.

You can assume that A is a given, since there's no way to get mu or the torque without A. Okay, thank you so much!The magnetic moment is the magnetic strength and orientation of a magnet or other object that produces a magnetic field. Examples of objects that have magnetic moments include: loops of electric current such as electromagnetspermanent magnets, moving elementary particles such as electronsvarious moleculesand many astronomical objects such as many planetssome moonsstarsetc.

More precisely, the term magnetic moment normally refers to a system's magnetic dipole momentthe component of the magnetic moment that can be represented by an equivalent magnetic dipole : a magnetic north and south pole separated by a very small distance. The magnetic dipole component is sufficient for small enough magnets or for large enough distances. Higher order terms such as the magnetic quadrupole moment may be needed in addition to the dipole moment for extended objects.

The magnetic dipole moment of an object is readily defined in terms of the torque that object experiences in a given magnetic field. The same applied magnetic field creates larger torques on objects with larger magnetic moments. The strength and direction of this torque depends not only on the magnitude of the magnetic moment but also on its orientation relative to the direction of the magnetic field.

The magnetic moment may be considered, therefore, to be a vector.

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The direction of the magnetic moment points from the south to north pole of the magnet inside the magnet. 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. The magnetic moment can be defined as a vector relating the aligning torque on the object from an externally applied magnetic field to the field vector itself.

The relationship is given by: [1]. This definition is based on how one could, in principle, measure the magnetic moment of an unknown sample.

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For a current loop, this definition leads to the magnitude of the magnetic dipole moment equaling the product of the current times the area of the loop. Further, this definition allows the calculation of the expected magnetic moment for any known macroscopic current distribution. An alternative definition is useful for thermodynamics calculations of the magnetic moment.

In this definition, the magnetic dipole moment of a system is the negative gradient of its intrinsic energy, U intwith respect to external magnetic field:. Generically, the intrinsic energy includes the self-field energy of the system plus the energy of the internal workings of the system.

magnetic dipole moment of a coil

For example, for a hydrogen atom in a 2p state in an external field, the self-field energy is negligible, so the internal energy is essentially the eigenenergy of the 2p state, which includes Coulomb potential energy and the kinetic energy of the electron.

The interaction-field energy between the internal dipoles and external fields is not part of this internal energy. This unit has equivalents in other SI derived units including: [3] [4]. Among these, there are two alternative non-equivalent units of magnetic dipole moment:.

All formulae in this article are correct in SI units; they may need to be changed for use in other unit systems. Other units for measuring the magnetic dipole moment include the Bohr magneton and the nuclear magneton. The magnetic moments of objects are typically measured with devices called magnetometers. Not all magnetometers measure magnetic moment though. Some are configured to measure magnetic field instead.

If the magnetic field surrounding an object is known well enough, though, then the magnetic moment can be calculated from that magnetic field. The magnetic moment is a quantity that describes the magnetic strength of an entire object. Sometimes, though, it is useful or necessary to know how much of the net magnetic moment of the object is produced by a particular portion of that magnet.

This equation is often represented using derivative notation such that. The magnetization is often not listed as a material parameter for commercially available ferromagnetic materials, though. The preferred classical explanation of a magnetic moment has changed over time.

Before the s, textbooks explained the moment using hypothetical magnetic point charges. The sources of magnetic moments in materials can be represented by poles in analogy to electrostatics. This is sometimes known as the Gilbert model. Each pole is the source of magnetic force which weakens with distance.