Magnetic field from free electrons

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Discussion Overview

The discussion centers on whether a beam of free electrons creates a magnetic field similar to that produced by a current-carrying wire. Participants explore the nature of the magnetic field generated by individual electrons and its characteristics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants assert that a beam of free electrons does create a magnetic field, akin to that of a wire with current, and mention its detection in particle accelerators.
  • One participant questions the shape of the magnetic field produced by a single traveling electron, seeking clarification on whether it is spherical.
  • Another participant explains that the magnetic field of a moving electron decreases with distance as 1/r^2 and has an angular dependence, noting that it is not spherically symmetric and is zero along the direction of the electron's velocity.
  • A participant references previous discussions and threads related to the magnetic field of a point charge moving at constant velocity.

Areas of Agreement / Disagreement

Participants generally agree that a beam of free electrons generates a magnetic field, but there is no consensus on the specific shape and characteristics of the magnetic field produced by a single electron.

Contextual Notes

The discussion includes assumptions about the behavior of magnetic fields in relation to moving charges and relies on specific mathematical descriptions that are not fully resolved in the conversation.

Danyon
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Does a beam of free electrons create a magnetic field like that of a wire with current flowing through?
 
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Danyon said:
Does a beam of free electrons create a magnetic field like that of a wire with current flowing through?

Yes. It is one way that we detect them when they pass through a section of a particle accelerator (i.e. using a device such as an ICT).

Zz.
 
ZapperZ said:
Yes. It is one way that we detect them when they pass through a section of a particle accelerator (i.e. using a device such as an ICT).

Zz.
And could you say what shape the magnetic field of one traveling electro would take?
ZapperZ said:
Yes. It is one way that we detect them when they pass through a section of a particle accelerator (i.e. using a device such as an ICT).

Zz.
And could you tell me the shape of the magnetic field of one traveling electron please? Is it a spherical shape?
 
That is a little more difficult to describe without using the equation for the magnetic field, but let me try. The field reduces with distance from the electron as 1/r^2. But there is also an angular dependence. For example, the field is zero directly in line with the velocity of the electron. If you draw any circle perpendicular to the velocity, with its center on the line of the velocity, the magnetic field is tangential to the circle at every point. So it is certainly not spherically symmetric. For that matter, even the electric field of a moving electron is not spherically symmetric.
 
tech99 said:
And could you tell me the shape of the magnetic field of one traveling electron please?

A Google search for "magnetic field of a point charge with constant velocity" led me to a bunch of previous threads here on PF, including this post I made a few years ago:

Magnetic field of charge moving at constant velocity
 

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