Creating a Magnetic Bubble: Proving or Disproving

In summary, the problem is that the magnetic field at the centroid is not higher than the field strength immediately surrounding the centroid because the inverse-square law applies.
  • #1
BUBBLE BOY
6
0
I have been asked to prove or disprove the following problem:

Is it possible to arrange an array of magnetic dipoles (little magnets) in free space such that the magnetic field at the centroid of the space is higher than the field strength immediately surrounding the centroid? The field at the center is called a magnetic bubble, if exists.
 
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  • #2
No can do using only magnetic dipoles. You have to have a magnetic monopole (yet to have discovered).

Hint: apply Gauss's law to the bubble.
 
  • #3
Is Inverse-Square Law responsible?

With respect to the thesis that it is impossible to create a local region of higher magnetic intensity in free space using magnetic dipoles, is this not due to the inverse-square law?
For example, cancer tumors are treated using the principle of collimation of radiation; i.e. a collimated radiation beam is axially-rotated over time such that the crossing-axis passes through the tumor.
However magnetic intensity cannot (?) be collimated (due to the Divergence theorem (?)) and worse falls off at 1/r^2.
So my question, for an approach on a proof, is, is it the divergence of the magnetic intensity in free space or the inverse-square law which prevent a magnetic bubble from being formed by using an arbitrary numer of magnetic dipoles?
 
  • #4
Some observations:
1) A high magnetic intensity is not the same as a magnetic bubble as defined before.
2) I'm not sure about the question of the collimation, but I think that you have to take into account the Electric and Magnetic field altogether (i.e. a light beam) in the case mentioned.
3) About the last point: in practice you will try to form plane waves, or more precisely, diminish the 1/r^2 factor as much as you can, until it doesn't affect your operation.
4) IIRC, the 1/r^2 can only come from monopolar sources, so I don't think you'll get such a decay for a magnetic field... At best it will be like 1/r^3.
5) According to this, you can't prove the claimed impossibility of the magnetic bubble if you use the 1/r^2 law...
6) The proof using the Divergence theorem should look very simple. Have you ever tried to prove that there's no way to achieve an equilibrium state using only electrostatic forces?

Notice that I could be wrong... I'm no specialist :p
 

1. What is a magnetic bubble?

A magnetic bubble is a type of phenomenon that occurs in magnetic materials, where the magnetic field is confined to a small region or bubble. This bubble can be manipulated and moved using external magnetic fields and can potentially have important applications in data storage and information processing.

2. How can a magnetic bubble be created?

A magnetic bubble can be created by applying a strong magnetic field to a magnetic material, typically a ferromagnet or ferrimagnet. This field should be strong enough to overcome the material's natural magnetic state and create the bubble. The size and stability of the bubble can be controlled by adjusting the strength and direction of the external magnetic field.

3. How can we prove or disprove the existence of a magnetic bubble?

To prove the existence of a magnetic bubble, scientists can use various techniques such as magnetic imaging and magnetic force microscopy to directly observe and measure the bubble. They can also conduct experiments to manipulate and move the bubble, demonstrating its existence and properties. To disprove the existence of a magnetic bubble, scientists can use similar techniques to show that the observed phenomenon is not a magnetic bubble, but rather an artifact or a different physical phenomenon.

4. What are the potential applications of magnetic bubbles?

Magnetic bubbles have potential applications in data storage and information processing. They can be used as "bits" of information, with the ability to be moved and manipulated using external magnetic fields. This could lead to faster and more efficient data storage and processing technologies.

5. Are there any challenges in creating and utilizing magnetic bubbles?

Yes, there are several challenges in creating and utilizing magnetic bubbles. One challenge is finding materials that can support the formation and stability of magnetic bubbles at room temperature. Another challenge is controlling and manipulating the bubbles with precision, as they are sensitive to external magnetic fields and can easily merge or collapse. Additionally, the integration of magnetic bubbles into practical technologies may require further research and development.

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