Magnetic Dipole - Revision history

Zeynepuzun: /* Magnetic Flux and Degaussing Coils */

2025-12-01T17:58:28Z

Magnetic Flux and Degaussing Coils

← Older revision		Revision as of 13:58, 1 December 2025
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	[[File:Degaussing_coils.jpg]]		[[File:Degaussing_coils.jpg]]
	[https://msi.nga.mil/api/publications/download?key=16920950/SFH00000/HoMCA.pdf&type=view\| Source]		[https://msi.nga.mil/api/publications/download?key=16920950/SFH00000/HoMCA.pdf&type=view\| Source]

	This was especially difficult due to the surrounding magnetic fields being emitted from the plethora of wires and equipment surrounding the compass on the bride and throughout the ship. So, in order to dampen the deviation of the compass created by the many different electric fields, the navy instituted what is called Degaussing Coils and spheres. These coils were strategically lined through the ship and the spheres were positioned directly next to the compass on opposite sides of the compass in order to cancel the surrounding magnetic field. These coils when used properly create a magnetic dipole.		This was especially difficult due to the surrounding magnetic fields being emitted from the plethora of wires and equipment surrounding the compass on the bride and throughout the ship. So, in order to dampen the deviation of the compass created by the many different electric fields, the navy instituted what is called Degaussing Coils and spheres. These coils were strategically lined through the ship and the spheres were positioned directly next to the compass on opposite sides of the compass in order to cancel the surrounding magnetic field. These coils when used properly create a magnetic dipole.

Zeynepuzun: /* Magnetic Flux and Degaussing Coils */

2025-12-01T17:58:19Z

Magnetic Flux and Degaussing Coils

← Older revision		Revision as of 13:58, 1 December 2025
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	[[File:Degaussing_coils.jpg]]		[[File:Degaussing_coils.jpg]]
			[https://msi.nga.mil/api/publications/download?key=16920950/SFH00000/HoMCA.pdf&type=view\| Source]
	This was especially difficult due to the surrounding magnetic fields being emitted from the plethora of wires and equipment surrounding the compass on the bride and throughout the ship. So, in order to dampen the deviation of the compass created by the many different electric fields, the navy instituted what is called Degaussing Coils and spheres. These coils were strategically lined through the ship and the spheres were positioned directly next to the compass on opposite sides of the compass in order to cancel the surrounding magnetic field. These coils when used properly create a magnetic dipole.		This was especially difficult due to the surrounding magnetic fields being emitted from the plethora of wires and equipment surrounding the compass on the bride and throughout the ship. So, in order to dampen the deviation of the compass created by the many different electric fields, the navy instituted what is called Degaussing Coils and spheres. These coils were strategically lined through the ship and the spheres were positioned directly next to the compass on opposite sides of the compass in order to cancel the surrounding magnetic field. These coils when used properly create a magnetic dipole.

	In some robotics applications, like robotic soccer in my case, we use solenoids to rapidly accelerate iron cores to kick soccer balls at high velocities. The precise calculations to figure out how much acceleration the core is under and how the magnetic field affects it are immensely complex and require a lot of compute power and time, but we can use the dipole moment calculation to get a decent idea of how much energy is being imparted and a rough idea of the acceleration we are dealing with in order to figure out how long to energize the coil to get the ball to a specific velocity.		In some robotics applications, like robotic soccer in my case, we use solenoids to rapidly accelerate iron cores to kick soccer balls at high velocities. The precise calculations to figure out how much acceleration the core is under and how the magnetic field affects it are immensely complex and require a lot of compute power and time, but we can use the dipole moment calculation to get a decent idea of how much energy is being imparted and a rough idea of the acceleration we are dealing with in order to figure out how long to energize the coil to get the ball to a specific velocity.


	===Industrial Application===		===Industrial Application===

Zeynepuzun: /* A Mathematical Model */

2025-12-01T17:57:14Z

A Mathematical Model

← Older revision		Revision as of 13:57, 1 December 2025
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	From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.		From this equation, we can deduce the magnetic dipole moments just knowing the conventional current flowing through the loop and the radius.

	[[File:~~current_loop~~.~~JPG~~]]		[[File:Currentloopfixed.png]]

	However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal [http://www.physicsbook.gatech.edu/Bar_Magnet\| bar magnets], for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.		However, most of the time the current is not given. Furthermore, the equation is not applicable for the normal [http://www.physicsbook.gatech.edu/Bar_Magnet\| bar magnets], for they do not have a electrical current flowing through. Thus, another way to get the dipole moment is by using the relationship between the magnetic dipole and the magnetic field induced by the dipole.

Zeynepuzun: /* Connection With Magnetic Fields in Loops of Wire */

2025-12-01T17:52:21Z

Connection With Magnetic Fields in Loops of Wire

← Older revision		Revision as of 13:52, 1 December 2025
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	We can see how this is similar to the field produced by particles(or equivalently by a permanent magnet)		We can see how this is similar to the field produced by particles(or equivalently by a permanent magnet)

	[[File:~~DipoleField~~.~~jpg~~]]		[[File:Dipolepattern.png]]

	One of the most important things to note about the dipole simplification is that it grants us the ability to calculate dipole moment, a measure of the polarity of the dipole, which aids in calculations regarding the energy and forces involved in iterating with the dipole. This is especially useful for dealing with current in a loop of wire, as it does not resemble a traditional dipole. Once you have the moment you can use all of the nice dipole formulas instead of trying to treat it as coils of wire.		One of the most important things to note about the dipole simplification is that it grants us the ability to calculate dipole moment, a measure of the polarity of the dipole, which aids in calculations regarding the energy and forces involved in iterating with the dipole. This is especially useful for dealing with current in a loop of wire, as it does not resemble a traditional dipole. Once you have the moment you can use all of the nice dipole formulas instead of trying to treat it as coils of wire.

Zeynepuzun: /* Direction of Dipole Moment */

2025-12-01T17:49:19Z

Direction of Dipole Moment

← Older revision		Revision as of 13:49, 1 December 2025
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	It is also important to note the direction of the dipole moment. In a bar magnet the dipole moment will be wrapping from the North end of the magnet until it faces the South end of the magnet in a traditional dipole fashion and field pattern.		It is also important to note the direction of the dipole moment. In a bar magnet the dipole moment will be wrapping from the North end of the magnet until it faces the South end of the magnet in a traditional dipole fashion and field pattern.

	~~[[File:Magdidirection.gif]]~~

	On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule.		On the other hand, if you are looking at the dipole moment induced by a current-flowing loop, you have to use the right hand rule.

Zeynepuzun: /* Connection With Magnetic Fields in Loops of Wire */

2025-12-01T17:48:45Z

Connection With Magnetic Fields in Loops of Wire

← Older revision		Revision as of 13:48, 1 December 2025
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	One of the most important things to recognize is the similarity between an obvious dipole like a bar magnet and what occurs when current flows through a loop of wire and how that allows us to perform calculations much easier. Current moving in a closed loop will create a dipole magnetic field as shown below.		One of the most important things to recognize is the similarity between an obvious dipole like a bar magnet and what occurs when current flows through a loop of wire and how that allows us to perform calculations much easier. Current moving in a closed loop will create a dipole magnetic field as shown below.

	[[File:~~WireLoopDipole~~.png]]		[[File:Magdipim2.png]]

	We can see how this is similar to the field produced by particles(or equivalently by a permanent magnet)		We can see how this is similar to the field produced by particles(or equivalently by a permanent magnet)

Zeynepuzun: /* The Main Idea */

2025-12-01T17:44:20Z

The Main Idea

← Older revision		Revision as of 13:44, 1 December 2025
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	A common example of a macroscopic magnetic dipole is a common permanent magnet such as a bar magnet. These magnets will produce a magnetic field everywhere in space and the force varies only with observation position. This is very similar to an electric dipole, but instead of electrical charges, we have magnetic ones, represented by the North and South poles. Just like with positively and negatively charged ions, like charges repel, and opposite charges attract.		A common example of a macroscopic magnetic dipole is a common permanent magnet such as a bar magnet. These magnets will produce a magnetic field everywhere in space and the force varies only with observation position. This is very similar to an electric dipole, but instead of electrical charges, we have magnetic ones, represented by the North and South poles. Just like with positively and negatively charged ions, like charges repel, and opposite charges attract.

	~~[[File:Magnetic_dipole.jpg]]~~

	Since magnets always have two poles, the magnetic field produced is that of a magnetic dipole. The North pole is analogous to a positive charge and South to a negative charge, in that the field lines flow out from the North pole into the South pole.		Since magnets always have two poles, the magnetic field produced is that of a magnetic dipole. The North pole is analogous to a positive charge and South to a negative charge, in that the field lines flow out from the North pole into the South pole.

	[[File:~~Magnetificdipole1~~.~~jpg~~]]		[[File:Magdipoledraw.png]]

	===Major Distinction from Electrical Dipoles===		===Major Distinction from Electrical Dipoles===

Zeynepuzun at 17:38, 1 December 2025

2025-12-01T17:38:49Z

← Older revision		Revision as of 13:38, 1 December 2025
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	Claimed by Zeynep Uzun (Fall 2025)		Claimed by '''Zeynep Uzun (Fall 2025)'''

	==The Main Idea==		==The Main Idea==

Zeynepuzun: /* Middling */

2025-12-01T17:38:04Z

Middling

← Older revision		Revision as of 13:38, 1 December 2025
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	;'''Example 1'''		;'''Example 1'''
	: When a compass is placed 20 cm away from a bar magnet parallel to the x-axis and shows deflection of 20 degrees, what is the magnitude of the magnetic dipole moment? You can assume that \|''B<sub>earth</sub>''\| is <math>2 \times 10^-5 T</math>		: When a compass is placed 20 cm away from a bar magnet parallel to the x-axis and shows deflection of 20 degrees, what is the magnitude of the magnetic dipole moment? You can assume that \|''B<sub>earth</sub>''\| is <math>2 \times 10^-5 T</math>

			;Example 2
			: A bar magnet is placed a distance 15 cm to the right of a compass that originally points North. After the magnet is placed next to the compass, the needle of the compass deflects 45 degrees to the west. What is the magnitude of the magnetic moment of the bar magnet? You can assume that \|''B<sub>earth</sub>''\| is <math>2 \times 10^-5 T</math>


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	<math> \mu = 0.292 A*M^2</math>		<math> \mu = 0.292 A*M^2</math>

			'''Example 2 Solution'''

			Follow a similar process as described above. The solution is <math> \mu = 0.675 A*M^2</math>

	</div>		</div>
	</div>		</div>

Zeynepuzun: /* Computational Model */

2025-12-01T17:26:53Z

Computational Model

← Older revision		Revision as of 13:26, 1 December 2025
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	The computational plot of a magnetic dipole is very similar to the plot of an electric dipole because of their similar forces. In some simulations, you can see a loop or coil of wire with the surrounding forces displayed using spaced vectors. In [https://www.compadre.org/osp/items/detail.cfm?ID=12361 this] simulation, you are able to move a dipole around and see in 3D how the dipole affects its surroundings with a constant magnetic field.		The computational plot of a magnetic dipole is very similar to the plot of an electric dipole because of their similar forces. In some simulations, you can see a loop or coil of wire with the surrounding forces displayed using spaced vectors. In [https://www.compadre.org/osp/items/detail.cfm?ID=12361 this] simulation, you are able to move a dipole around and see in 3D how the dipole affects its surroundings with a constant magnetic field.

	~~<iframe src="~~https://~~trinket~~.io/~~embed~~/~~glowscript~~/~~61ba188df3ef?start=result" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen><~~/~~iframe>~~		Click [https://www.glowscript.org/#/user/Zeynep_Uzun/folder/MyPrograms/program/magdipole\| here] for a glowscript model visualizing the magnetic field of a bar magnet in 2D. You may click and drag the blue magnet to see how the field changes.

	==Examples==		==Examples==