# How do Magnets Work?

Q:
How do magnets work?
- Marsha Borski (age 9)
Houston, Tx
A:
Marsha,

That’s an excellent question.

Try the following experiment with a magnet, some needles (the plain kind used to hold stuff together as you sew it), and a screwdriver. It will help you understand the explanation.

Touch a needle with a screwdriver and nothing unusual should happen (unless the screwdriver is already magnetized). Now, take some of the needles and hold them against the end of a magnet for a while (the stronger the better). After doing this, you will have turned each needle into a little magnet, and when you touch them with a screwdriver they will stick to it.

Some kinds of metals (like steel that the needles are made of) are made up of billions and billions of individual atoms that each have the properties of a microscopic magnet. The atoms in steel naturally tend to get together in tiny little groups called domains, and within each domain the atoms tend to point in the same direction, which makes the domains behave like a tiny little bar magnets just like the kind you have probably played with at school. The needle of a compass is also a bar magnet, and we know what this does: it points north because it likes to line itself up with the magnetic field of the earth.

When you make a piece of steel (like a needle), all of the tiny domain-magnets inside tend to get stuck pointing in different directions, which means that they more or less cancel each-other out, so to begin with the needle does not behave much like a magnet at all.

However, if you bring the needle close to another magnet of some kind, (like the ones on your fridge, or better yet some stronger ones you can find in your classroom) something interesting can happen: Because of the other magnet you are holding it near, the little domain magnets in your needle will tend to line up so that they are pointing along the same direction. (You can visualize this by holding two bar magnets near each other and noticing how they like to line up a certain way).  The domains in the needle will do the same thing, and after you take the needle away from the other magnet, the domains in the needle will tend to stay pointing this way (they sort of get stuck pointing in the same direction).  Now, since you have lots of these little domain magnets in the needle all pointing in the same direction, the needle will itself have become a small magnet.  (This is exactly how bar magnets are made).

Magnets attract other magnets (as you can see), and also attract some kinds of metal like many kinds of steel. If you touch your magnetic needle with a steel screwdriver it will stick.  However, stainless steel is not a very good magnetic material, so if you touch your magnetic needle with something made of stainless steel it will probably not stick (try it).

MS

(published on 10/22/2007)

## Follow-Up #1: why not more magnets?

Q:
I need a more in-depth answer to Marsha’s question. I know that natural magnets have magnetic fields becuase of the electrons moving aroung inside thier atoms(while electric fields are present so are magnetic fields), but why then doenst matter like water and tree bark have natural magnetism if they also have electrons inside thier atons?
- -Anonymous
VA
A:
Excellent question.

In most  materials almost all the electrons form pairs, with the magnetism from the two paired electrons exactly canceling. The result ultimately is due to something called the Pauli exclusion principle, which says that no more than one electron can exist in any particular quantum state. So if there's some nice low-energy state waveform for an electron to sit in in some molecule, it tends to get two electrons for the two possible quantum states with that form: one spin up, the other spin down.

This very fact is the origin of most of the properties of chemical bonding. Remember how a typical covalent bond consists of two shared electrons? The reason is the exclusion principle plus spin. In ionic bonds, typically one electron will mostly move from one atom with an odd number of electrons over to another atom with an odd number, leaving each with an even number.

So the tendency of most materials not to be magnetic is closely tied to the same quantum mechanical facts which account for the prevalence of pair-bonds and ionic bonds in chemistry.

Mike W.

(published on 10/22/2007)

Q:
why are most materials non-magnetic? (no quantum physics please!)
- ivan brown (age 13)
Newport, Wales, Britain
A:
Ivan- I sympathize with your question, but the sad fact is that there’s absolutely nothing honest one can say about the origin of magnetism in materials without using a quantum mechanical basis.  Sorry.
Mike W.

(published on 10/22/2007)

## Follow-Up #3: non-magnetic trees

Q:
i cant exactly get the answer of why magnets has no effect in trees example where infact it has also an electron inside thier atoms... please expain it in a simle way for me thanks!
- lai (age 18)
zamboanga, philippines
A:
The basic reason is that almost every electron is paired up with one other one that is in the same state except that it is spinning the opposite way. (see the Pauli exclusion answer above) That means that the magnetism of the two just cancels.
In leaves, however, as photosynthesis occurs some electrons get shuttled around individually as part of the light-driven chemical process. So their magnetism isn't automatically canceled, and magnetic resonance signals from them can be measured.
Mike W.

(published on 10/22/2007)

## Follow-Up #4: pauli exclusion principle

Q:
what is pauli exclusion principle?
- starlai (age 18)
zamboanga, philippines
A:
It states that for particles called ’fermions’, including electrons, protons, neutrons, etc., no two particles can be in exactly the same quantum state. There must be something different about them, either that they’re in different places or have different spins or something. There’s another class of particles, called ’bosons’, including photons, for which this principle does not apply.

Mike W.

(published on 10/22/2007)

## Follow-Up #5: domain interactions

Q:
Do domains work agnaist each other
- Anonymous
A:
I think what you're asking is whether the forces between magnetic domains push them toward pointing opposite ways. That actually depends on whether the domains are side-by-side or end-to-end. If you picture the domains as little arrows pointing up or down, side-by-side ones tend to point opposite directions but end-to-end ones tend to line up the same way.

Mike W.

Think of it this way.  If you have two bar magnets, each has a North pole and a South pole.
If the two magnets have their two N poles pointing up then when they are side by side they will repel each other but when they are head-to-tail they will attract.  In the other case when one has a N pole pointing up and the other has a S pole pointing up then they will attract each other when they are side by side but repel when they are head-to-tail.

Lee H

(published on 12/17/2007)

## Follow-Up #6: permanent magnets

Q:
So what makes a magnet magnetic? You told me how iron was magnetic and i understand that but what is the difference between a magnet and something that is magnetic?
- Anonymous (age 13)
USA
A:
Most strongly magnetic materials, like iron, have magnetic domains which act like small magnets themselves. However, the directions of those magnets are all scrambled up, so the total magnetism cancels out. If you put them in a magnetic field, the domains tend to line up with the field, so you get something which really has net magnetism and can feel a force from the field.

To make a permanent magnet, you need some way to keep those domains lined up even after the applied field is removed. In certain special materials, it's hard for the domains to change which way they point. Usually those materials  have some mixture of non-magnetic atoms, which tend to catch and trap the domain walls, the regions where the magnetism changes from one direction to another. Trapping the walls keeps them from moving, and keeps the magnetic direction from changing.

If you heat up a permanent magnet, the walls tend to come loose and the net magnetism will go away.

Mike W.

(published on 02/19/2008)

## Follow-Up #7: magnetic vs. electric fields

Q:
So it sounds like you're saying that what makes something magnetic is the presence of these "single" particles or particles that are not in a pair (if so they would cancel each others magnetism)and there are regions of these single particles that are called domains? I have two question. How can one particle be magnetic? and Is the source of magnetism the attraction/repulsion relation between positive and negative charges? And if so, what makes magnetic fields different from electric fields? (detailed please) Thanks
- Anonymous
A:
Actually, for something to be very strongly magnetic it takes more than just some unpaired particles. There has to also be a tendency for the magnetism of different particles to line up together, and that tendency is present in only some materials.

One of the sources of magnetism is electrical current. That's why a current through a copper coil, for example, creates a magnetic field. Now (and this isn't quite being honest) imagine a charged particle as a little ball of charged stuff. If it's spinning, then that's like having currents go around in a loop, and you should get fields like those when current goes around in a coil. Elementary particles like electrons do indeed have "spin", measurable angular momentum. However, if you took this story too literally you'd calculate a magnetic moment of an electron which is only half the actual value. On a small scale, that spin is really something quantum mechanical, not something you can picture as charges running around in circles.

Magnetism is related to the electrical fields which pull on charged particles. However, it's connected not just with the positions of the particles but also their velocities. If you look at a charged particle (without spin) from a frame where you say it's standing still, it will only have electrical fields. If you look from another point of view and say it's moving, it will also have magnetic fields. Of course the net physical effects on its neighbors will be the same in either case. We obviously cannot fully introduce this area here, but if you want to see a beautiful book on the topic, I recommend E. Purcell's "Electricity and Magnetism"..
Mike W.

To add one more twist to the tale, Maxwell's equations are consistent with terms involving magnetic monopoles. None have ever been seen.  For more information check out:

LeeH

And for another twist, if those magnetic monopoles exist, then an observer who sees one moving will say it produces electric as well as magnetic fields.  mike w

(published on 02/24/2008)

## Follow-Up #8: making magnets and demagnetizing them

Q:
So magnets are made by putting a magnetic object under a magnetic field, this makes all the domains spin in the same direction, which is what defines a magnet. Also electricity running through a wire creates a magnetic field because it has a flow of electrons in one direction. so does that mean that if you try creating a magnet off of an electrical current, then the domains of the magnet will spin in the direction of the current, and if so, does that mean that making a magnet using AC current would be very ineffective?
- Kassem
VA
A:
The direction the domains will point is set by the current in the electromagnet, although it is not the same as the current direction. If the magnet is in a coil, running the current one way around the coil will make the magnetism point one way; reversing the current makes it point the other.

So you're absolutely right that an ac current is no way to magnetize something. In fact, when you want to demagnetize something (e.g. erase a magnetic recording) the standard way is by applying a big ac field and gradually decreasing the magnitude. That pretty much scrambles up the domains. It's often called "de-Gaussing" since one standard unit of magnetic strength is a Gauss.

Mike W.

(published on 03/08/2008)

## Follow-Up #9: Magnets do not bend light, however...

Q:
I was wondering if Magnets have any effect on light. I know that light is really electromagnetic waves, but I was wondering if these waves could be attracted/repelled against a magnet. Thanks!
- Joe Shock-Ra
USA
A:
In a vacuum there is no effect of a magnet on light.  It doesn't bend it or anything.
There is a subtle effect, however, when light passes through a dielectric medium like glass or sugar water solution.  It turns out that in the presence of a magnetic field the light beam is not bent but the plane of polarization can be rotated a bit.  This is called Faraday rotation.  You can find out more about it at

LeeH

(published on 04/25/2008)

## Follow-Up #10: magnetic forces

Q:
What causes magnetics to attract to each other? And why do they stick for so long?
- Tiffany (age 13)
Richmond hill, GA, US
A:
Those are great questions but I can't think of any way to answer the first one without giving a little course. As for the second one, it's normal for the forces which hold things together to last forever.

Think of the gravity that holds you and the Earth stuck together. As long as you and the Earth are around, that gravity will be there.  The same rule applies to magnets. As long as they stay magnets, the force between them will be there. There is one difference, however. You can think of a magnet as made up of little magnets, called domains. Each one has a North and a South pole. Over a very long time, those can jiggle around so the little magnets don't line up with each other. Then they won't add up to make a big magnet. Gravity doesn't have poles, the gravity from every part just adds together. So even as parts of the Earth shift around, the gravity won't go away.

Mike W.

(published on 03/30/2009)

## Follow-Up #11: compass physics

Q:
The South Pole is magnetized, correct? How come a compass never points south. If we switched the charge in our compasses would they point south? Also, how come compasses become more inaccurate as you near the north pole? That seems counter-intuitive. I'd think they'd become more accurate since the force is stronger.
- John (age 33)
California
A:
It's just a convention to label the north-pointing end of the magnet in a compass by sharpening it or painting it with an arrow head. You could do that to the other end if you wished.

The inaccuracy near the north pole arises because the magnetic north pole isn't actually at the same place as the rotational north pole.  The difference becomes important in that vicinity. If you stood in between them, your compass would point south.

Mike W.

(published on 09/23/2009)

## Follow-Up #12: Do two bar magnets attract or repel each other?

Q:
If two magnets are put end to end with the current patterns lined up in the same direction, the two poles next to each other would do what?
- Drew (age 17)
Liberty
A:

____________________         __________________
|                                      |         |                                    |   Currents aligned
| N           A                  S |         | N             B             S  |     Attraction
|___________________|         |__________________|

____________________         __________________
|                                      |         |                                    |    Currents anti-aligned
| N             C               S |         | S             D            N  |     Repulsion
|___________________|         |__________________|

LeeH

Just to be clear, in the picture above A and B attract, C and D repel. You might also wonder about what happens between A and C and between B and D, in the positions shown.  A and C repel. B and D attract. If you imagine each magnet as a tube of current going around the axis, the ones that attract are the ones where the nearby parts of the current go the same way in each tube.  Mike W.

(published on 03/24/2010)

## Follow-Up #13: magnets attract or repel

Q:
How do magnets stick together only sometimes ?
- Isabel (age 10)
Hudson,OH
A:
Hello Isabel-

Bar magnets only sometimes stick together and sometimes repel because each has a north pole and a south pole.  Opposite poles attract, and like poles repel. If you were to put two north poles together, they would repel, but a north and a south  would stick together. The picture above shows an example.

Chris F. and Mike W.

(published on 02/16/2011)

## Follow-Up #14: are magnets permanent?

Q:
In permanent magnets what sort of energy do they use to push or pull other magnets if any at all? I was also wondering does a permanent magnet ever lose its magnetism?
- Anonymous
A:
A permanent magnet will lose its magnetism fairly quickly when it's heated enough. A good permanent magnet stays that way for a very long time at room temperature. In the extremely long run, its little domains should lose their alignment, but that's not in our lifetime.

You also ask, if I understand right, what sort of energy is involved in the magnetic forces between magnets. There is energy stored in the magnetic field itself. The density of that energy is proportional to the square of the field strength. When magnets move near each other, that field energy generally changes.

Mike W.

(published on 07/04/2011)

## Follow-Up #15: shielding a magnet with steel

Q:
I know a magnet can attract steel paper clips through paper, cardboard, plastics, cloth, etc. But can a magnet attract steel paper clips through a sheet of sheet? I have beeen confused as some sources say it will not. I know you can make a iron nail a temporary magnet by attracting it to a magnet at one end and have paper clips attracted to the nail. Shouldn't it be the case for the sheet of steel?
- SARAH (age 26)
Singapore
A:
I assume that was a typo, and you're asking about a sheet of steel. it's an interesting question.

Here's a nice physical way to picture what happens. Picture the magnetic field in the usual way, as a set of field lines coming out of one pole of the magnet and returning to the other. There's a tendency for those field lines to get sucked into pieces of iron or steel or other easily magnetized material. That's exactly the reason that the paperclips stick to the magnet. Some of the field lines get stuck in them.

Now what happens if you put a big sheet of steel in between the magnet and the paper clips? The field lines mostly get drawn into the sheet, spread out in the sheet, and return without going past the sheet to the paperclip. So the clip doesn't stick much if it's just behind the sheet.

This effect depends a lot on the shape of the sheet. A small piece of steel can pull field lines into it leaving more field just behind it than were there before. That's just what happens when you chain paperclips together hanging from a magnet. Each clip tends to steer field lines on to the next one. So the steel redirects the field, with a sheet redistributing it away from the clip just on the other side. It would tend to grab clips right near the edge of the sheet, where some of the field lines exit.

Mike W.

(published on 09/28/2011)

## Follow-Up #16: magnetized nail

Q:
We made electromagnets in class with wire, a large nail and a 6 volt battery. The nails were not magnetic, but after we disconnected the batteries from the nails, the nails would pick up staples. How did the battery or the electricity magnetize the nail?
- Karen (age 10)
Bronx, NY
A:
The nail started off already magnetized in small regions, called domains. At room temperature the little magnets of the electrons in the iron tend to line up with other, making those magnetic domains. However, the magnetism of the different domains points all different directions, so overall it cancels out.

When you put the nail in the electromagnet made with the coiled wire powered by the battery, it lines up a lot of those domains to point the same way. After you take the nail away, some of the domains stay stuck, so you're still left with more of the magnetism pointing one way than any  other. That means the nail is a bit magnetized.

Mike W.

This is temporarily posted without the usual check, until Lee gets back from Paris.

(published on 11/27/2011)

## Follow-Up #17: magnets and their fields

Q:
Two questions: 1!: Can you make a 'doughnut' magnet so as to have, say, all N charge on the outside and S on the inside, in the hole of the doughnut?? 2!: what exactly is the field itself? the magnetic field, i mean. The magnetic fields' COMPOSITION. The answer I usually get is something like: " well, the magnet makes the field" "...I am aware of that. But what exactly is the field MADE-OUT-OF?" "It is the magnetic force in the magnet interacting with things around it" "...*facepalm*" But you seem thorough. so please answer in that manner,I'll understand everything right up to the point where there needs to be calculus to understand. I'm still in Algebra 2. Thank You.
- Atticus (age 14)
Salt Lake City, Utah,
A:

Sure, you can make a donut-shaped magnet with the N poles on the outer part and the S poles near the donut hole. It's not a standard form, but it's certainly possible. (Those poles aren't really "charges" though.)

Your second question is extremely hard to answer. I think for now perhaps the best non-answer is this. Whatever the universe consists of, at some point our description has to get down to the most basic ingredients, or, if every level of ingredient should be thought of as made of something deeper, at some point we'll just get to the deepest level we know about. At that point, all you can do is describe the properties, not say what things are made of. Electromagnetic fields are pretty close to that point. We could give maybe a step or so deeper description, but it would be in terms of quantum fields. Those are even more abstract mathematical entities than magnetic fields.

Mike W.

(published on 01/05/2012)

## Follow-Up #18: magnetism from moving charges

Q:
Well, i know that moving or spinning charged particles can cause a magnetic field. But how does it do that? And why don't stationary charged particles create magnetic fields, even though they create electrostatic forces? And what causes those forces in the first place? For example, gravity is caused by mass curving or warping space time or something of the sort, what causes magnetic and electrostatic forces? I know very basic quantum mechanics. Thank you!
- Rahul (age 15)
Bangalore, India
A:
Rahul- You're asking just the right questions to start in on Purcell's Electricity and Magnetism book, from the Berkeley series. The outline of Purcell's presentation looks something like this.
1. Start with the existence of simple electrostatic forces following Coulomb's law.
2. Assume that special relativity gives the right rules for how things look in  different reference frames.
3. Look at a moving charge near a neutral, current-carrying wire. There's no electrical force.
4. But if you now look in the rest frame of the charge, the wire is no longer neutral, thanks to the different Lorentz contractions of the differently-moving plus and minus charges.
5. So there's an electrical force in this frame.
6. So there must have been a velocity-dependent force back in the frame where the wire was neutral.
7. We call that velocity-dependent force magnetism.

Ok, that handles the part about why magnetism, given electricity. The part about why electricity in the first place is unfortunately over my head. Here's a few words to get you started. Purcell derives the magnetism from electricity from assuming a symmetry, special relativity, a rule about how the world obeys the same laws of physics even as you represent its contents in different ways. There are some other subtle symmetries (gauge symmetries) in relativistic quantum field theory, and I've heard that they require the electrostatic force.

Mike W.

(published on 05/28/2012)

## Follow-Up #19: first magnets

Q:
First, thank you for answering for our questions. My question is, you say that to obtain a magnet we need to have a magnet. Then how was the first magnet made, when there were no any other magnets? How to make a magnet if i have only a piece of iron and nothing else??? Thank you again.
- Mehdi
Azerbaijan
A:

Really nice questions!

Some stones are magnetic as found. They are magnetized because they cooled in the Earth's magnetic field. The Earth is magnetic for complicated reasons which I don't really understand, but have something to do with currents stirred up as heat flows from the hot core to the cooler surface, creating convection patterns.

You don't need a permanent magnet to magnetize a piece of iron. It's usually done using an electromagnet, so what you really need is a current source to drive the electromagnet. Although many current sources are ultimately based on generators which themselves use magnets, there are other current sources which do not need magnets. For example batteries can be made using chemicals and no magnets.

Mike W.

(published on 05/16/2013)

## Follow-Up #20: magnetic water?

Q:
can a magnet work when there is ice between the two magnets and if there is water between them ( the icce and water will be between them at different times ) if so will the magnetic force be different
- ted
us
A:
Water (whether liquid or frozen) has so little magnetic susceptibility that you will not notice its effects unless you\'re deliberately making a sensitive experiment.

Mike W.

(published on 05/16/2013)

## Follow-Up #21: how do magnets act at a distance

Q:
What a neat site. These kids are so smart! As a follow up to Atticus' question, please explain how magnets achieve action at a distance. Also, to Atticus and the other brilliant kids who ask the right questions, give them more questions that they can access and imagine! One that I have often pondered (please answer): What do you see when looking through an infinitely powerful microscope? Or Telescope? Something? Nothing? What is a particle made of (the smallest one)? It's all just organised energy right? Then the question is (of course) what is energy? Is there an answer to this question? Or is it unanswerable?
- Steve (age 28)
Victor, MT
A:

We were just discussing doing more to encourage our readers to do experiments. Your suggestion about raising follow-up questions for them is along the same lines. We'll do our best.

On "action-at-a-distance", we don't really think of it that way. We think of the magnetic field as a real thing, all spread out in space, acting where it is. But how did that field get all spread-out? Not by sudden action-at-a-distance. It had to work its way over from the source, by an electromagnetic wave traveling at the speed of light. That's not much of a coincidence, since light itself is an electromagnetic wave.

We don't really know what anything is made of at the deepest level. I guess the two basic approaches are that everything is some sort of differential equation (a little bit like Maxwell's equations for electromagnetism) or that everything is some sort of cellular automaton, kind of like a bunch of little digital bits. Right now, the deepest things we know are all differential equations, but some people suspect that may change.

Saying "It's all just organized energy" doesn't really convey a definite enough idea for us to say it's true or false.

Mike W.

(published on 10/03/2013)

## Follow-Up #22: Adding bar magnets together

Q:
If you place two equally strong magnets together so they attract do the act as a single magnet with one magnetic field? Will the resulting magnet be twice as strong as one of the original magnets?
- Mark Basham (age 50)
Australia
A:

Hi Mark,

If you have two thin bar magnets and put them together in parallel the resulting strength is about double.   If you keep adding more and more of them eventually the resulting sum is not the sum of the number of magnets due to the over all geometry of the combination.   It involves some integrals.

If you add them lengthwise you don't get a factor of two in the end-on direction but you would get a factor of two if you placed them face down on an iron surface.

LeeH

Far away, you do get a factor of two in the fields, even though close by it's more complicated. /mw

(published on 12/19/2013)

## Follow-Up #23: Does positive attract positive?

Q:
I read all your post to look for my answer, but still couldn't find an answer. People say Positive energy attracts Positive. But how is this possible if they repel each other? Or is that a bunch of bull? My mom bought 2 expensive bar magnets to stand on while exercising. She said it will help her heal w/positive energy?? Is she nuts or is this true? Thanks, Moe
- Moe (age 16)
NC
A:

Positive energy does attract positive energy by ordinary gravity. However positive electric charge repels positive electric charge. This old physics has nothing to do with various new-age ideas.

Magnets are still another matter. No magnetic charges ("monopoles") have ever been found. However, like poles of magnets (e.g. North and North) repel.

Your mom may not be nuts because many medical conditions are known to be helped by something called the placebo effect. People who believe that something (e.g. an alleged medicine) will help them tend to do better, sometimes in real objective measured traits, not always just in how they feel. () Magnets are truly harmless. Maybe having to pay a lot for them made her feel like they're doing more good, and maybe that feeling makes them do more good. I have a lot of trouble motivating myself to exercise enough. Maybe it's time to invest in some magnets.

Mike W.

(published on 02/04/2014)

## Follow-Up #24: Storing energy in magnets

Q:
Is there a way to create energy from magnets? For example, when putting the same end of a magnet together, the magnets push away from each other. Where does this energy come from? Would it be possible to create giant magnets or contained magnetic fields in order to create energy and power mechanisms? Understanding that all energy is simply transferred but not newly created, where is this energy coming from?
- Anonymous (age 15)
USA
A:

Dear Anonymous,

As you point out, you can't create energy with magnets, but you can store energy.   When you push two same-sign poles together it requires energy.  This energy can then be released and do useful work when you let go of the magnets.

LeeH

(published on 03/17/2014)

## Follow-Up #25: natural magnetism

Q:
Can non-magnetized iron or steel have a weak inherent magnetic field? When reading William Gilbert "on the loadstone" I performed an experiment described at the end of the first book using a non-magnetizad iron or steel to attract each other, by putting a nail not previously magnetized floating on water or suspended by a thread , then another non magnetized iron would act as a weak magnet clearly atractiing each other. Does this mean these metals were somehow weakly magnetized in he mining and manufacturing process?or can there be a weak magnetic field in non purposefully magnetized metals?
Waupaca WI
A:

Yes, ferromagnetic materials typically do have a weak net magnetization. The Earth is  a weak magnet (that's why compasses work) so the ferromagnetic material will magnetize a little as it cools into the magnetic state.

Mike W.

(published on 04/27/2015)

## Follow-Up #26: what is a magnetic field?

Q:
The words magnetism, field and energy seem even more abstract and elusive to me now that I have read this series of Q&A. So, I pose a few questions.One of the answers mentioned that a magnetic field represents stored energy. (1)If this is true, then is there not a way to remove that energy for real use? (2)For example, if the magnet is heated to the loss of the magnetic field, where does that energy "go"?(3)Concerning a bar magnet, exactly what IS the magnetic field "made of", or how can it be physically described? (4)Is the field in motion about the magnet? (5)Or is it static with most domains spinning in alignment without any other movement? Since I see the field described with terms similar to DC electrical circuits, I get this idea that the flux is "flowing" like an electrical current. But I see no reason for the field to flow. (7)So, how did it get there if it didn't "flow" there.And (8)how is it possible that the field extends so far from a magnet, like an inch from a half-inch neodymium? (9)Is there a theoretical maximum for a given lump of magnet?Thanks for any thoughts you can share!
- Dennis (age 45)
Sleepy Hollow
A:

1) You could always remove the energy for use once, just by letting two oppositely polarized magnets attract and do work as they approach each other. That's just like how you can get work out of letting some object fall in a gravitational field or from the attraction of opposite electric charges. Once it's gone,though, it's gone. There are no perpetual motion machines.

2) Just that fact that you have to heat the magnet tells you you're mostly adding energy. That's because the magnetized region has negative interaction energy between its spins. It also has a little positive field energy. As the material demagnetizes by individual spins flipping over, each emits an electromagnetic wave. A little energy can leave the material that way, if it's not absorbed and turned into general thermal shaking of parts.

3) See this:  .

4) No.

5) The spins within each domain are mostly aligned with each other. The field isn't going anywhere.

6) ??

7) When the field was first set up, energy did have to flow there. The flow density is described by the Poynting vector, proportional to E X B. So during that process there was also an electrical field. You wouldn't see the reason for that if you came along after the process was over and everything was static.

8) How does the Sun's gravitational field extend out to us? These fields propagate very fast, at the speed of light. Your question seems to assume that things are made of little parts that interact only when they touch each other. Michael Faraday struggled with pictures like that before working his way over to something like our modern idea of fields.

9) I suppose there's a theoretical maximum at which the field energy is enough to collapse the object into a black hole. Maybe there's some other theoretical maximum that's not so huge, but I'm not aware of it. For the types of magnets we're familiar with on Earth, the practical maximum would have a few spins, and thus a few Bohr magnetons, for each atom. That magnetization corresponds to about 10,000 Gauss, which is around what the most intense permanent magnets reach. Big superconducting electromagnets can reach over 100,000 Gauss. Higher values can be reached briefly. For very different types of matter (neutron stars) fields can reach over 1014 Gauss. () At that point the field energy density is pretty significant, about a million times higher than the rest mass energy density of water. That's still a lot less than the energy density of the magnetic neutron star itself.

Mike W.

(published on 07/15/2015)

## Follow-Up #27: magnetic domains

Q:
In my chemistry book it is stated: "Iron, nickel, and cobalt are ferromagnetic; the unpaired d electrons in large numbers of atoms line up with parallel spins in regions called domains." What causes the formation of these domains? Is this simply a property of some materials in that they tend to form domains? Also, I don't quite understand how electrons can "line up" with parallel spins without violating the Heisenberg Uncertainty Principle. If "line up" is not meant literally, can you please explain how the electrons actually form domains?Thanks.
- Kevin Jin (age 15)
USA
A:

First, on the "line up" issue, you raise a good point. Quantum mechanics does not allow the spin to be fully lined up in any direction. If the average spin is in the z direction, there will be an uncertain spread of possible spins in the xy plane. Still, that allows the average values of different spins to line up with each other, despite the leftover spread.

The domains form because the electron waves can lower their energy when nearby spins line up. That's not a general property of all materials but rather depends on the quantum states of the electrons in the atoms, on the types of neighbors, and on the distances between the neighbors. In iron, for example, different densities of different amorphous alloy forms can either favor alignment or anti-alignment.

So if the material happens to be one in which alignment is favored, why doesn't it form one big domain? As the domains get bigger, the plain old magnetic interaction, like you see when you play with magnets, makes adjacent regions want to anti-align if they are sitting lateral to the field direction. Ones displaced along the field direction, in contrast, lower their magnetic field energy by lining up the same way. Thus ordinary magnetic material is a patchwork of domains pointing different directions. A thin needle, however, can form a single domain with the field along the needle direction.

Mike W.

(published on 10/03/2016)

## Follow-Up #28: magnetic direction

Q:
What do you mean by "line up" exactly? From my understanding an atom is made up of a positive nucleus orbited by negative electrons, forming a spherical shape when viewing all possible electron locations, how can this sphere point in any direction when the net charge is zero?
- Conner (age 16)
San Diego CA
A:

Quite aside from the shape of the electron cloud, the electron itself has an intrinsic property called "spin". That gives it some angular momentum and magnetic moment, which point in some direction. So even a nice simple hydrogen atom with a spherical electron cloud already has magnetism with a direction.

Mike W.

(published on 11/15/2016)

## Follow-Up #29: electron spin in magnets

Q:
Mr Feynman states that the 'attraction' and 'repulsion' of magnets is caused because of electrons spinning in the same direcrion which coincidentally amplifies the force, this is why you can feel it at a distance... Now, the spin is in one direction in one pole and opposite direction on the other pole; however if the electrons of one north pole face those of another north pole they are both spinning in the same direction opposite to the other so there will be 'repulsion', for this example lets say that they both spin counterclockwise... If you flip one magnet 180 degrees on its side and you leave the other magnet alone, the spin on one north pole will be clockwise and the other counterclockwise.... Why do they not attract?
- Freddy (age 24)
Uk
A:

The electrons in the north and south poles of a bar magnet are spinning the same way, not opposite ways.

Mike W.

(published on 02/18/2017)

## Follow-Up #30: magnet repel or attract?

Q:
Hi mike, thanks for the reply but unfortunatelt because of my bad explanation i dont think you grasped my question. Let me rephrase, and for this example lets forget about the south pole since the question is in regard to the north poles of 2 separate magnets facing eachother; below is a crude diagram[S|N] [N|S] (birds eye view)The above diagram shows the magnets' north pole facing from a birds eye view... Here we can assume that the spin of their respective north poles is causing the repulsion, however if one of the two magnets is flipped 180 degrees on its side (see crude diagram #2 below) then by virtue of the geometry of spin (180 degrees opposite to what it was), they should attract. Why do they not? Crude diagram #2:[S|N] [N|S] (initial position)[S|N] [N|S] (position after one of the two magnets has been flipped 180 degrees) - notice that both north poles are still facing however the spin of the electrons of one of the two magnets is 180 degrees opposite to the "initial position"If we are to believe that it is the spin of the electrons that is causing "repulsion" then why, after the spin of the electrons of one magnet were "flipped opposite" to that of the initial position do they still not attract?
- Freddy (age 24)
Uk
A:

Hi Fred- Unfortunately pictures don't come through in our question sysem, which has some filters designed to stop various hacks. The internet has turned into a dangerous place, and that interferes with ordinarye life.

I'll try to reconstruct what I think you're asking. Spin directions will represented by little arrowheads.

N<<<<<<<<< S   S>>>>>>>>>>N.  These two repel.

Flip the second around the middle of its long direction and you get:

N<<<<<<<<< S   N<<<<<<<<< S   These two attract.

N<< S        S>>N
N<< S        S>>N
N<< S        S>>N
N<< S        S>>N
N<< S        S>>N

These two repel.

Flip the second around the middle of its long direction and nothing changes, they still repel. Perhaps that's the picture you were describing.

Flip it around the middle of its skinny direction and you get:

N<< S      N<< S
N<< S      N<< S
N<< S      N<< S
â€‹N<< S      N<< S
N<< S      N<< S

These now attract.

I suspect that you took the spins from one picture and the N,S labels from the other.

Mike W.

(published on 02/22/2017)

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