Understanding magnetism and electromagnetism

AI Thread Summary
Natural magnets exhibit magnetism due to the alignment of electron spins and magnetic moments in ferrous metals, where unbalanced outer electrons create a net magnetic effect. Electromagnetism arises when an electric current flows through a conductor, generating a magnetic field around it, as described by Ampère's Law. Coiling the wire enhances this effect, creating distinct north and south poles due to the cumulative magnetic fields. The quantum mechanical perspective reveals that electrons possess intrinsic magnetic moments due to their spin, contributing to the overall magnetic properties of materials. Understanding these principles requires a blend of classical and quantum physics, with further reading recommended for deeper insights.
aclark609
Messages
35
Reaction score
1
Natural Magnets: How do they work? I'd prefer a technical answer on a subatomic level.

Electromagnets: Say you have a copper wire hooked up to a negative terminal and on the other end of the wire a positive terminal. Due to a potential difference, electrons flow from the negative to the positive, but how does this induce magnetism?
 
Last edited:
Physics news on Phys.org
aclark609 said:
Natural Magnets: How do they work? I'd prefer a technical answer.

Electromagnets: Say you have a copper wire hooked up to a negative terminal and on the other end of the wire a positive terminal. Due to a potential difference, electrons flow from the negative to the positive, but how does this induce magnetism?

How about you first show us what you have been reading about the subject of how magnets work? You need to show some effort here in your questions on the PF. We are happy to help clear up confusions, but you need to show us your efforts first.
 
Well, I've read that ferrous metals are magnetic due to their electron configurations. It seems that the lone pairs in the 3d orbital somehow allow these metals to exhibit an attraction towards magnets. Perhaps it is the distance between what would be the 3d energy sublevel and 4s energy sublevel. I'm guessing it has to do with the missing lone pairs in 3d momentarily prohibiting repulsion between the electron pair in 4s, thus causing some extra "pull" from the positive nucleus on the 4s electrons along with free electrons, but I don't understand how that would allow these metals to be attracted to magnets.

As for electromagnetism, I know that an electric current generates a magnetic field, but I have no idea how. I know there is a flow of electrons in an electric current, but how does a flow of electrons create the polar attraction of a magnetic field. It doesn't make sense.
 
I'll start with electromagnets. Amperes Law basically states that electric charges flowing (in a wire or space or wherever) create a magnetic field around their line of travel. Make a wire into a straight line and connect a voltage source and the magnetic field will be oriented in a circular fashion around the wire. If you coil the wire up, you add all of the fields together. On one side of the coil the field lines will be "leaving" and on the other side they will be "returning", since all magnetic field lines are circular. That gives a north and south pole. If you want to go deeper than taking Amperes law at face value, you'll need relativistic electromagnetics which would show you that if you traveled alongside the electrons in the wire, you would not see a magnetic field (no more moving charges) but instead an electric one. The results of any experiments would of course agree with one another but one would ascribe the effects to a magnetic field interaction and the other would see the electric field as the cause.

As for permanent magnets, the classical analog of looking at electron orbits as small current loops is a good place to start. As a classical idea its not actually correct, but can give you a first approximation as to how it works. Unbalanced outer electrons result in a net "current" and act like a loop of wire. In reality the quantum description is harder to grasp (and fills in the gaps and inconsistencies in this classical approach). In QM, the electrons have a magnetic moment due to their spin, as well as nuclear effects. But classical physics is easier to grasp and can be a good starting point.
Realize too that your idea of missing electrons prohibiting repulsions and causing "pull" from a positive nucleus is incorrect on at least two counts. For one, the atoms are (I assume) neutral, and their difference in number of electrons with the atoms of another metal is offset by more protons in the nucleus. But more importantly you're describing an electric attraction, not magnetic. Magnetic fields can align the magnetic dipoles in metals, which are usually oriented randomly. Once the metal's atomic dipoles are aligned by a magnetic field, the system wants to be in the lowest possible energy state, where their fields are closely coupled, so they "stick" together.
This is only a brief description of the concepts and I urge you to look at Wikipedia or other credible websites for the full story.
 
Thank you for the response. I found it helpful, and yes I'll definitely read up on the subject.
 
This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'
Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...

Similar threads

Back
Top