Why does magnetic field strength decrease faster than gravity at a distance?

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Homework Help Overview

The discussion revolves around the differences in how magnetic field strength and gravitational force decrease with distance. The original poster questions why magnetic fields diminish faster than gravity and explores concepts related to force lines and potential particle carriers of magnetism.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants discuss the nature of magnetic fields, including the role of dipoles and the absence of monopoles. Questions arise about the implications of space-time curvature on magnetic force lines and comparisons to gravitational effects.

Discussion Status

The conversation is ongoing, with various interpretations being explored regarding the relationship between magnetic fields and gravitational forces. Some participants have provided insights into the mathematical principles involved, while others seek further clarification on the original poster's questions.

Contextual Notes

There is some confusion regarding the definitions and behaviors of magnetic fields, particularly in relation to their mathematical representation and comparison to gravitational fields. The discussion includes references to concepts like virtual particles and the effects of general relativity.

Proof.Beh
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why does magnetic field strength decrease much faster than the inverse square of the distance like gravity? Is it because the force lines have to curve back to the source? Is magnetism also carried by an "imaginary" particle?

Thanks.
Mr Beh
 
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Your first guess is basically correct. In the absence of monopoles the force law of magnetism is (at best) that of a dipole. I have no idea what an "imaginary" particle would mean.
 
If we test that around of Earth or a larger mass, space-time can help to force lines that curve to other sides according to GR?
 
I think he means 'virtual partice', like in a Feynman diagram?
 
Proof.Beh said:
If we test that around of Earth or a larger mass, space-time can help to force lines that curve to other sides according to GR?

What does this have to do with the original question? There is no fundamental difference between electrical and magnetic forces except for the lack of monopoles in the latter case. GR does distort space and certainly affects the solution to EM equations. But has little to do with the original post.
 
Wait a minute; the magnetic field does obey an inverse square law...
 
Hurkyl said:
Wait a minute; the magnetic field does obey an inverse square law...

Yes, it does. From a monopole. And from a dipole but you have to sum the inverse squares. Which subtract to give an inverse cube. I hope that is what the poster is referring to.
 
Hey guys, you didn't answer to elementary question. I am saying, if forces lines curve in a magnetic field then can we say that it is stronger than the strength space-time curvature at curving light around a large mass (for example sun) or not?

Of course I agree with adriansd, but what is it really? Does it identical with 'virtual partice' In a Feynman diagram?

Thanks.
Mr Beh
 
Dick said:
Yes, it does. From a monopole. And from a dipole but you have to sum the inverse squares. Which subtract to give an inverse cube. I hope that is what the poster is referring to.
I was referring to the fact that the magnetic field generated by a current is proportional to the inverse square of the distance from the source.
 
  • #10
Hurkyl said:
I was referring to the fact that the magnetic field generated by a current is proportional to the inverse square of the distance from the source.

Oh yeah, that. But that's a infinite linear source. The E field from an infinite line charge isn't inverse square either (even though the underlying point force law is). It doesn't seem to really matter though since the poster doesn't seem to be able to make a clear statement of what he does mean.
 
  • #11
Dick said:
Oh yeah, that. But that's a infinite linear source. The E field from an infinite line charge isn't inverse square either (even though the underlying point force law is). It doesn't seem to really matter though since the poster doesn't seem to be able to make a clear statement of what he does mean.
The magnetostatic field from an infinite wire is inverse-linear, just like the electrostatic field; they're essentially the same calculation! The only difference is that one has [itex]q\hat{r}[/itex] in the numerator, and the other has [itex]\vec{I} \times \hat{r}[/itex]. (And there's probably another constant factor I'm forgetting)
 

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