Force of a changing magnetic field

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Discussion Overview

The discussion centers on the effects of a changing magnetic field on charges, particularly focusing on how such a field can induce an electric field and the resulting forces on charges, whether they are in a loop of wire or not. The conversation touches on theoretical aspects of electromagnetism, specifically Faraday's Law and the Lorentz force.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant states that a changing magnetic field induces a potential around a loop of wire, leading to forces on charges, suggesting that such a field exerts a force on stationary charges.
  • Another participant discusses the application of Faraday's Law and the Lorentz force, indicating that if a charge is stationary, the force can be expressed as F = qE, and that the direction of the force can vary depending on the orientation of the magnetic field.
  • Several participants inquire about isolating the electric field E from Faraday's Law, noting the complexity due to the nature of partial differential equations involved.

Areas of Agreement / Disagreement

Participants express differing views on the implications of a changing magnetic field on stationary charges and the methods to derive the electric field from Faraday's Law. The discussion remains unresolved with multiple competing perspectives on the topic.

Contextual Notes

The discussion involves complex mathematical relationships and assumptions regarding the behavior of electric and magnetic fields, which are not fully resolved. The dependence on specific configurations of fields and charges is also noted.

DCN
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By Faraday's Law, we know that a changing magnetic field can induce a potential around a loop of wire and it follows that any charges in the loop will experience a force, otherwise they wouldn't move. Therefore a changing magnetic field exerts a force on stationary charges.

How do you tell the direction of this force is the charge is not in a loop of wire?
 
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You also use Faraday law, ∇x E = -∂B/∂t, and solve this for E, but remember that the magnetic field is gone yet, so you have lorentz force, F = q(E + |v x B|), however if the charge is stationnary, then just be force it start moving F = qE, F⊥B just because E⊥B (because of the curl), by this you can see that the force can be in any direction even in the direction of the loop if you put the magnetic field in the right angle,once it started moving perpenducular forces are further applied, this you can expect it to be in the direction for the loop (curvature)of the wire
 
How would you isolate E from Faraday's law?
 
DCN said:
How would you isolate E from Faraday's law?
It's a partial differential equation,
 

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