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Thread: Infinite strength magnetic field?

  1. #1 Infinite strength magnetic field? 
    New Member aurumdeus's Avatar
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    The strength of a magnetic field (as with anything else which spreads out evenly in 3 dimentions) operates on an inverse square proportion. As you halve the distance to the origin of the magnetic field, you quadruple the strength of the field. But as you can only take a fraction of the total distance, you can never reach the origin and the strength of the field continues to increase. Surely this would result in a magnetic field of infinite strength, the closer you go? Or if it does not then why is this so?
    This argument can also be applied to other things, for example gravitational attraction. if this was so, then every mass point in the universe would instantly collapse into a black hole of infinite strength. Thankfully, this does not happen. however, why does it not?
    Any opinions welcome


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  3. #2  
    Forum Isotope (In)Sanity's Avatar
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    I think it can all be summed up to the Chaos theory. Nothing is 100% perfect so the math becomes imperfect. In a computer model with all forms of chaos removed your theory may hold true.

    In short, the entire universe is flawed.


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  4. #3 Re: Infinite strength magnetic field? 
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    Quote Originally Posted by aurumdeus
    The strength of a magnetic field (as with anything else which spreads out evenly in 3 dimentions) operates on an inverse square proportion. As you halve the distance to the origin of the magnetic field, you quadruple the strength of the field. But as you can only take a fraction of the total distance, you can never reach the origin and the strength of the field continues to increase. Surely this would result in a magnetic field of infinite strength, the closer you go?
    This would be true if your magnet was infinitely small. In reality, as you get closer and closer to the source of your magnetic field you will eventually run into the surface of your magnet. If you started to go inside your magnet, you would end up with some of the magnetic material in front of you and some behind you.

    Even if you considered a single spinning electron (which is probably the smallest possible magnet) you would still eventually bump up against the electron’s surface, and not be able to get any closer to the field.
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  5. #4  
    Forum Freshman Geodesic's Avatar
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    Scifor Refugee is perfectly correct about the magnetic case, and the case for gravitational attraction is similar - eventually, you run up against the exclusion principle, in which case a system tends to have lower energy not collapsing to a point.
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  6. #5  
    Forum Freshman kestasjk's Avatar
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    A magnetic field spreads out evenly in 3 dimensions?

    The chaos theory means that mathematical formulae are imperfect?!

    An infinitely small magnet would have an infinitely powerful magnetic field?!?

    Scifor Refugee is perfectly correct?!?!


    First; a magnetic field does not diminish in intensity evenly in three dimensions.. Don't you remember sprinkling iron shavings on a piece of paper with a magnet underneath in 3rd grade?

    Second; just because a high school 'rule' of physics is expressed as a mathematical formula doesn't make it math. It isn't the math that's imperfect it's the 'rule' of physics.

    Third; gravitational fields, sound waves (things that do spread out evenly in three dimensions..) and magnetic fields don't start at one infinitely small point..
    Do you think that when you clap your hands the sound waves come from a certain single point inside your hands?
    Do you think that at the center of every planet is a certain point from which the entire planet's gravity comes from?

    Finally; most equations given to you in physics in high school are to solve problems; they're tools, don't take them as God's Word.
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  7. #6 I am Stunned 
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    Half space analogy is directly relative to limit analysis in calculus. For those familiar with limits in calculus, The Limit can Never be Attained in analysis. Delta/ Epsilon analysis proves this to anyone informed by Calculus 1. I thought this group would contain scientists searching for truth. Guess that some belong to group without having much education. I only minored in math by attaining calc 3 study, but can assure that theory of magnetic infinity as one approaches the magnetic surface limit is valid if one discludes magnetic flux saturation at magnet surface. This is where the relevant theory becomes invalid. Magnetic saturation fields appear to defy gravity if one is interested. A mouse has floated in magnetic flux density of saturation energy. Searching magnetism effects on gravity via the internet may be in order for some. A Most curious thing, magnetic flux saturation!!!
    Intelligence is important, but imagination is key. Albert Eienstin
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  8. #7  
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    All forces are finite.

    This is the problem with GR. It predicts its own downfall by
    predicting infinite space-time curvature; as Stephen Hawking
    has said.

    This applies to everything else; otherwise no infinite physical
    quantities of any kind.

    Only the future is infinite!
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  9. #8  
    Forum Junior Cuete's Avatar
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    That infinite magnetic field would be true, if its source was a single dimensionless point. I'd like to know if anyone has seen a monopole in a lab, i think not.
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  10. #9  
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    Evidence against point particles.
    Extensionless matter doesn't make sense.
    Internal structure does. That is what I take
    from string theory!
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  11. #10  
    Forum Freshman kestasjk's Avatar
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    But then again lab findings involving atomic point magnets contradict the Newtonian view of flux density as described in the Principia. Remember; of course you cant reach infinity but you can tend towards it as you get infinitely close+small in more than 4 dimensions.
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