Magnetic field when relative velocity is zero

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Discussion Overview

The discussion revolves around the behavior of magnetic fields produced by current-carrying conductors, particularly in relation to objects moving at the same speed as the current. Participants explore the implications of relative motion on the measurement of magnetic fields and the role of different reference frames.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that a current-carrying conductor generates a magnetic field, but question whether this field exists for an object moving at the same speed as the current.
  • Others argue that current is not directly associated with speed, suggesting that the drift speed of electrons may be relevant to the discussion.
  • A participant notes that the measurement of magnetic fields depends on the reference frame, indicating that in the frame of the object moving with the current, there would be no magnetic field, although the electric field would differ from that in other frames.
  • Another participant emphasizes the mixing of electric and magnetic fields under Lorentz transformations, leading to different measurements of magnetic fields for observers in relative motion.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between current, speed, and magnetic fields, with no consensus reached on the implications of relative motion or the nature of the magnetic field in specific frames.

Contextual Notes

There are limitations regarding the assumptions made about reference frames and the definitions of current and speed, which remain unresolved in the discussion.

donaldparida
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A current carrying conductor produces a magnetic field but what if there is an object which has the same speed as current. Will there be magnetic field by the current carrying conductor for that object?
 
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donaldparida said:
A current carrying conductor produces a magnetic field but what if there is an object which has the same speed as current.
A current is generally not associated with a speed.

donaldparida said:
Will there be magnetic field by the current carrying conductor for that object?
The magnetic field mixes with the electric field under Lorentz transformations. This means (among other things) that observers in relative motion will measure different magnetic fields.
 
donaldparida said:
A current carrying conductor produces a magnetic field but what if there is an object which has the same speed as current. Will there be magnetic field by the current carrying conductor for that object?
When asking that question, you have to specify in what frame you are measuring the magnetic field. I assume you are asking what the magnetic field is in the frame of the object . Then no, there is no magnetic field in that frame (but the electric field in that frame is different from the electric field in other frames).
 
Orodruin said:
A current is generally not associated with a speed.
I suppose he is referring to the drift speed of the electrons in the conductor.
 

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