A Magnetic Misconception on Divergence 0/Closed Field Lines?

  • #1
walkeraj
17
4
Question: Can we ultimately atttribute no work or net zero work done by a magnetic force to the closed magnetic field lines that results in Divergence zero of a magnetic field? That is, is it a misconception to say that closed magnetic field lines imply magnetic force will always result in no net work?

(I meant misconception on my part not theory.)

Edit: Why misconception? Now switch to electric field. The field lines between two opposite electric test charges are also closed and resemble that of a bar magnet, though electric in nature. Does it hold? Is it enough to say that since the field lines are closed between the two test charges that no net work can ever be done?
 
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  • #2
Work done by a magnetic force on what ? Electric charge ?
 
  • #3
Electric charge is all I can see (thinking back to Griffith's book).
 
  • #4
Consider the electric field of an idealized electric dipole. It has only closed field lines, but it can do work on a charge.
 
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1. What is a magnetic misconception on divergence 0/closed field lines?

A magnetic misconception on divergence 0/closed field lines refers to the misunderstanding that magnetic field lines cannot have divergence. In reality, magnetic field lines can have zero divergence and form closed loops, especially in the absence of magnetic monopoles.

2. Why is it important to understand the concept of divergence 0/closed field lines in magnetism?

Understanding the concept of divergence 0/closed field lines in magnetism is crucial for accurately describing and predicting the behavior of magnetic fields. It helps in analyzing the flow of magnetic flux and the interactions between magnetic fields and currents.

3. How do divergence 0/closed field lines differ from divergence in electric fields?

Divergence 0/closed field lines in magnetic fields indicate that the magnetic flux entering a closed surface is equal to the flux leaving the surface. In contrast, divergence in electric fields signifies the presence of electric charges within the closed surface, leading to a net flux entering or leaving the surface.

4. Can magnetic field lines ever have non-zero divergence?

In the presence of magnetic monopoles (hypothetical particles that act as sources or sinks of magnetic field lines), magnetic field lines can have non-zero divergence. However, magnetic monopoles have not been observed in nature, leading to the general assumption of zero divergence for magnetic field lines.

5. How does the misconception of divergence 0/closed field lines impact scientific research and technological applications?

The misconception of divergence 0/closed field lines can lead to inaccuracies in magnetic field calculations and hinder the development of technologies reliant on precise magnetic field control, such as magnetic resonance imaging (MRI) or magnetic levitation systems. By addressing and correcting this misconception, scientists can enhance the accuracy and efficiency of magnetic-based technologies.

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