Calculating Magnetic Field of a Monopole - Dirac Condition

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Homework Help Overview

The discussion revolves around calculating the magnetic field of a monopole in relation to the magnetic field produced by an electron with Bohr's magnetron magnetic momentum. Participants are exploring the concept of magnetic monopoles and their theoretical implications in magnetostatics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the relationship between the magnetic field of a monopole and that of an electron, particularly in terms of distance and field strength. Questions about the nature of monopoles and how to compute their fields are raised, alongside references to Dirac's condition.

Discussion Status

The discussion is ongoing, with participants sharing interpretations and concerns about the calculations involved. Some guidance has been offered regarding the mathematical expressions for the fields, but no consensus has been reached on the specific approach to take.

Contextual Notes

There is a mention of the differences in field strength decay between monopoles and dipoles, as well as concerns about the implications of the calculations, indicating a complex understanding of the topic is necessary. The original poster expresses uncertainty about the definitions and calculations related to monopoles.

Feynmanfan
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I need to find out at what distance creates a magnetic monopole the same magnetic field as an electron with Bohr's magnetron magnetic momentum.

I don't know how to calculate the field of a monopole. I know what an electric charge is; but a monopole? As a clue I've been given Dirac's condition between e charge and the "monopole" magnitude.

Thanks for your help.
 
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I expect you're supposed to find the distance BETWEEN two monopoles
(ie, making a dipole) that essentially re-creates the field of an electron.

The field strength of a single monopole decreases as 1/r^2,
while the field of an actual electron decreases as 1/r^3 (like a dipole).
 
Im not quite sure what your question is, but if this is the correct interpretation:

"at what distance will a magnetic monopole create the same magnetic field as an electron with Bohr's magnetron magnetic momentum?"

In magnetostatics if there was a magnetic monopole, the field would be:

B = (m0/4pi)*(qm/r^2)er

I worry for you because I have done a problem where I was supposed to calculate the angular momentum stored in the 2 fields caused by an electric charge and magnetic monopole separated by a distance D, and the answer was quite shocking.
 
Feynmanfan said:
I need to find out at what distance creates a magnetic monopole the same magnetic field as an electron with Bohr's magnetron magnetic momentum.
I don't know how to calculate the field of a monopole. I know what an electric charge is; but a monopole? As a clue I've been given Dirac's condition between e charge and the "monopole" magnitude.
Thanks for your help.

What is an electric monopole ?? Assume it is stationary (it doesn't move). How do you compute its field (the electrostatic field it generates). Then mirror all calculations for the case of a magnetic monopole.

Daniel.
 

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