What's different between electrons and planet under a central force?

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Discussion Overview

The discussion explores the differences between the motion of electrons in a magnetic field and planets in a gravitational field, focusing on the nature of central forces and the underlying physics principles. Participants examine the mathematical and conceptual frameworks that govern these motions, including references to classical and quantum physics.

Discussion Character

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

Main Points Raised

  • One participant questions whether magnetic forces can be considered central forces, suggesting that orbits under gravity are elliptical due to the inverse square law, while electron motion in a magnetic field follows different principles.
  • Another participant clarifies that gravity is an inverse square law and that conic sections are the solutions to the orbit equation for such forces.
  • A participant expresses confusion about the nature of magnetic forces and their relationship to radius, indicating a desire for further understanding.
  • Discussion includes historical context regarding classical physics and the challenges of the solar system model of the atom, particularly concerning the behavior of electrons and energy loss due to radiation.
  • Reference is made to Maxwell's equations and the implications of quantum physics on the understanding of electron behavior, suggesting that electrons do not have well-defined paths.
  • One participant notes that a circle is a specific case of an ellipse, contributing to the discussion about orbital shapes.

Areas of Agreement / Disagreement

Participants express differing views on the classification of magnetic forces and their effects on motion, with no consensus reached on the fundamental differences between the two types of motion discussed.

Contextual Notes

Limitations include the potential misunderstanding of the nature of magnetic forces, the historical context of classical physics versus quantum mechanics, and the unresolved questions regarding the behavior of charged particles in fields.

Student08
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Why electrons do a circumferential motion under the magnetic force and planets do a elliptical motion under the gravity? I don't understand this because the magnetic force and the gravity are all central force. Can anyone tell me what's the difference between them, in words, mathematics or in physics principle. I'm a high school student who want to know about this. Thanks.
 
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Magnetic forces are central? That's news to me!

Orbits are elliptical (or hyperbolic, depending on energy) because gravity is an inverse square law. Conic sections are the solutions to the orbit equation for an inverse square law. Why is gravity an inverse square law? Good question!

Electrons move in circles in a magnetic field, on the other hand, for different reasons.

I'd elaborate a bit more, but it's 5 in the morning and I'd kinda like to sleep before the sun comes up. So instead I'll kindly refer you to scienceworld, which has all sorts of nice equations with little explanation. Depending on what level of high school student you are, it may or may not be very enlightening.

Electromagnetic Field:
http://scienceworld.wolfram.com/physics/ElectromagneticField.html

The Lorentz Force (Electromagnetic force, basically):
http://scienceworld.wolfram.com/physics/LorentzForce.html

The Gravitational Force:
http://scienceworld.wolfram.com/physics/GravitationalForce.html

The electromagnetic field page has a nice little derivation of the motion of a charge in a constant electromagnetic field.

And welcome to the forums.

cookiemonster
 
Originally posted by cookiemonster
Magnetic forces are central? That's news to me!

Thanks for your nice explanations and references. Central here I mean in the centre of the orbit. I'm in grade 11, but I still can't follow you well. I will study more. Then, If the magnetic force is inverse to the radius? I know I may ask a stupid question. But they really puzzle me.
 
Originally posted by Student08
Originally posted by cookiemonster
Magnetic forces are central? That's news to me!

Thanks for your nice explanations and references. Central here I mean in the centre of the orbit. I'm in grade 11, but I still can't follow you well. I will study more. Then, If the magnetic force is inverse to the radius? I know I may ask a stupid question. But they really puzzle me.

In classical physics the electric force follows the same inverse square law as Newton's gravity. That would hold the elecrically charged electrons in classical orbits, just like a little solar system, and about 1900 that was the theory.

But even at that time there was a problem with the little solar system model of the atom. All electromagnetism is governed, so they understood at that time, by Maxwell's equations. And Maxwell's equations say that an accelerated charge must radiate electromagnetic waves and lose energy that way. And turning aside from a straight line path, as in orbiting, is acceleration. So why don't the electrons in the atom radiate and lose energy?

Well to collapse a lot of history, quantum physics was discovered, and it was seen that the electrons really don't have a well defined position or path, those things are only defined probabilistically. So electromagnetism is saved, but quantum weirdness comes in.
 

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