What is the average magnetic dipole moment?

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Discussion Overview

The discussion centers around the concept of the average magnetic dipole moment of magnets, particularly in the context of everyday applications such as those found in remote control car motors. Participants explore the implications of magnetic fields and the equations governing them.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Adhityaa expresses interest in understanding the average magnetic dipole moment of a magnet and poses a question regarding the use of e.m.f. in relation to magnetic fields.
  • One participant notes that the magnetic field created by a magnet is generally complex but can be approximated as a dipole field at large distances, providing a mathematical expression for this approximation.
  • This participant questions the notion of an "average magnetic dipole," suggesting that the dipole moment is a specific value dependent on the type of magnet rather than an average across different types.
  • Other participants engage in a side discussion about the nature of questions, indicating that the original question may lack sufficient context for a definitive answer.

Areas of Agreement / Disagreement

There is no consensus on the concept of an average magnetic dipole moment, with some participants questioning the validity of the question itself. The discussion reflects differing views on the nature of magnetic dipole moments and the complexity of magnetic fields.

Contextual Notes

The discussion highlights the need for additional context regarding the types of magnets being referenced and the specific conditions under which the average dipole moment is considered. There are unresolved questions about the applicability of the provided equations in different scenarios.

c.adhityaa
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Though this might be absurd, I would seriously like to know the average magnetic dipole of a magnet. For example, you might consider a regular magnet in a remote control car's motors, or any other suggestions too. And I have one more doubt- I know that e.m.f=-d(phi)/dt and phi=integral(B.dS). So, could we use e.m.f=-S.(dB/dt)?

Thank you,
Adhityaa
 
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How long is a piece of string?
 
length of a string ? I don't get you... Could you please explain ?
 
A magnet generally creates a complicated magnetic field. But usually, we approximate that the magnetic field is a dipole field in the approximation of large distances from the magnet. In other words, this equation won't work close to the magnet, but it is a useful approximation when not close to the magnet:
[tex]B=\frac{\mu_0}{4 \pi} \frac{m}{r^3} \sqrt{1 + 3 sin^2(\frac{\pi}{2} - \theta)}[/tex]
Where [itex]\theta[/itex] is the angle from the dipole axis. And m is the dipole moment.

So this equation would give you the magnetic moment if you could measure the magnetic field of the magnet.

I'm not sure what you mean by the average magnetic dipole?... Surely it is only one value which depends on the type of magnet.
 
c.adhityaa said:
length of a string ? I don't get you...

He's indirectly telling you (by asking a similar sort of question) that your question is unanswerable without further information.
 

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