Travel Near C: Electron Behavior and Lorentz Contraction

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In summary, the conversation discusses the effects of relativity on objects moving near the speed of light. The concept of Lorentz contraction is brought up and its potential impact on non-ionized hydrogen atoms and their orbits is considered. The conversation also touches on the measurement of velocity and the role of reference frames. The speed of electrons in a wire and their relation to the velocity of the wire itself is also discussed. The conversation ends with the question of how slow a single electron moves, with a possible estimate of 1 mm/sec given.
  • #1
MrCaN
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Ok, so I'm sitting in class thinking, which is never a good idea, about objects moving near c. I think that if you have a wire moving near c and shoot an electrical signal down it, the signal is going to move faster than c, but then I remember Lorentz and that contraction will fix that, but then what if you hurdle a non-ionized hydrogen atom near c. What happens the the electron and or its orbit. You could use a Lorentz contraction to change the path length, but how far can you stretch a nucleus before it breaks down, or could you have the orbit simply run perpendicular to the nucleus direction, and if this is the case, what happens to atoms with more electrons, or molecules.
 
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  • #2
Well, here are some things to think about.
In the frame of refference of the atom itself (or actually the center of mass of the object which this atom is made of, just to take the idea of temprature breaking atoms away), the atom is not streched at all, therefor it is not even on the limit of breaking :smile:

And, about the signal in the wire, I think the signal's speed is measured from the frame of refference in which it was made, not from the frame of refference of the conductor.
 
  • #3
You must remember that velocity must be measured with respect to something. With that in mind let us measure the Earth's velocity with respect to the distant galaxys. In that frame of reference the Earth is moving at a significant fraction of c. Now do your experiments, what do you observe?

The point?

No matter what your velocity (that is, what point you choose to reference your moition to), you will not observe any effects of relativity in YOUR frame of reference. c will remain c, the velocity of the electrons in atomic shells or your TV will be the same.
 
  • #4
ok so say the wire is traveling @ 1 m/s less than the electrons traveling through it and the wire is one meter long and has zero resistance.
How long will it take for the electrons in the wire to go form one end to the other?
Im guessing 1 second.

Answers on a post card. :smile:
 
  • #5
The time required for a electron to move through a wire is not as easily determined as you would have it. In reality a single electon moves very slowly, the energy transfer due to an electric current is more vibrational then translational.

Further electrons are firmly bound to the atomic structure of the wire, so basicly all electrons in a wire have the same velocity as wire. If a stationary observer were able to measure the velocity of an electron of a current carrying wire as it moved past the net velocity of the electron would be determined by the Lorentz transforms.
 
  • #6
Originally posted by Integral
In reality a single electon moves very slowly,
How slow is very slow?
 
  • #7
Depends on the material and conditions, but on the order of 1 mm/sec is common IIRC.
 

1. What is the significance of "Travel Near C" in relation to electron behavior and Lorentz Contraction?

Traveling near the speed of light, or "C", can have significant effects on electron behavior and Lorentz Contraction. This is because as an object approaches the speed of light, its mass and energy increase, causing changes in its behavior and perception of time and space.

2. How does Lorentz Contraction affect the size of an electron at high speeds?

Lorentz Contraction states that an object's length decreases as its speed increases. This means that at high speeds, an electron's size will appear smaller due to its increase in energy and mass. This phenomenon is also known as "length contraction."

3. Can electrons travel at the speed of light?

No, according to Einstein's theory of relativity, it is impossible for an object with mass to reach the speed of light. As an electron's speed approaches the speed of light, its mass and energy increase, making it more difficult for it to accelerate further.

4. How does traveling near the speed of light impact an electron's behavior in an electric field?

When an electron travels near the speed of light, its mass and energy increase, causing it to experience a greater force in an electric field. This can lead to changes in its trajectory and behavior, such as increased deflection.

5. Is Lorentz Contraction only applicable to electrons?

No, Lorentz Contraction is a fundamental principle of Einstein's theory of relativity and applies to all objects with mass. However, its effects are more pronounced at high speeds, such as those seen in electrons.

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