Is Newton's Third Law Violated in Electromagnetism?

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Homework Help Overview

The discussion revolves around the validity of Newton's third law in the context of electromagnetism, particularly focusing on scenarios involving electromagnets and their interactions through electromagnetic fields.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of Newton's third law for long-range forces, questioning how momentum is transferred in electromagnetic interactions. There is also a discussion about the nature of forces when one electromagnet is turned on and off, and how this relates to the law's assumptions about instantaneous momentum changes.

Discussion Status

Some participants have offered insights into the nuances of Newton's third law as it applies to contact versus long-range forces, noting that while the law may not hold in the traditional sense for electromagnetic interactions, momentum conservation remains intact for the system as a whole. Multiple interpretations of the situation are being explored without a clear consensus.

Contextual Notes

There is an ongoing examination of the assumptions regarding instantaneous changes in momentum and the role of electromagnetic fields in carrying momentum, as well as references to classical electrodynamics and action at a distance theories.

loom91
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Hi,

I was wondering, is Newton's third law true? Let's say I've an electromagnet turned on at a constant intensity for a sufficiently long time for the field to have reached a point some distance away. At that point is another electromagnet, but turned off. Now I turn on the second electromagnet. Immediately it's attracted to the first electromagnet. But before the field created by the second magnet can reach the first electromagnet, I turn it off. So when the magnetic field of the second magnet finally reaches the first electromagnet, it's not a magnetic dipole anymore and thus won't feel a force. The overall case is that there is no balancing parter to the force felt by the second electromagnet. This seems to be a violation of Newton's third law. What is happening here?

Thanks.

Molu
 
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Newton's 3.law is true for contact forces.

For long-range acting forces like the electro-magnetic ones, some of a system's momentum (lost from one of the object) may be carried by the electromagnetic field, rather than being instantly swapped over to the other object of the system (i.e, the instant swapping of momentum pieces between a system's objects is the essence of Newton's 3.law).

This violates Newton's 3.law, but retains momentum conservation for the system as a whole.
 
Newton's third law is only valid for contact forces; the law assumes instantaneous changes in momentum.

Edit: Arildno got there first... :redface:
 
So, when the momentum imparted to the second magnet has a counterpart, but instead of being on an object it is being carried away by the propagating field?

Incidentally, Griffiths writes that it's possible to formulate classical electrodynamics as an action at a distance theory rather than a field theory. How would that work?

Thanks.

Molu
 

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