What is the average magnetic dipole moment?

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SUMMARY

The average magnetic dipole moment of a magnet varies based on the type of magnet, as established in the discussion. The magnetic field can be approximated as a dipole field at large distances, described by the equation B = (μ₀/4π) * (m/r³) * √(1 + 3sin²(π/2 - θ)), where m represents the dipole moment. The discussion emphasizes that without specific details about the magnet in question, determining an average value is unfeasible. The relationship between electromotive force (e.m.f) and magnetic field changes is also touched upon, indicating the complexity of measuring these properties.

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  • Knowledge of the Biot-Savart law
  • Basic calculus for integrating magnetic fields
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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:
B=\frac{\mu_0}{4 \pi} \frac{m}{r^3} \sqrt{1 + 3 sin^2(\frac{\pi}{2} - \theta)}
Where \theta 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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