Suppose we have a proton and electron, separated with a distance d

In summary, the proton and electron are moving with the same speed, but the distance between them decreases due to length contraction. This causes an EM force to be stronger, and confirms that EM is an interaction between particles rather than between an observer and particles.
  • #1
touqra
287
0
Suppose we have a proton and electron, separated with a distance, d with respect to a stationary observer. Another observer moves with velocity, v with respect to the proton & electron system, and measured that the distance between the proton and electron is D.
D < d by length contraction.
How could this be? The force between the two charged particles is an EM force dependent radially on the distance. Furthermore, if D < d, then does this mean that a moving atom shrinks in size?
 
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  • #2
There will be magnetic fields as well since with respect to the second observer, the particles are moving.
 
  • #3
quantum123 said:
There will be magnetic fields as well since with respect to the second observer, the particles are moving.

This magnetic field is a measured field between a particle and the observer, and not between the proton and electron, because both of them are stationary with respect to each other.
Further, if there really is magnetic field between electron and proton, as seen by a moving observer, then these would be magnetic monopoles.
 
  • #4
touqra said:
The force between the two charged particles is an EM force dependent radially on the distance.

The electric field produced by a moving charge is not spherically symmetric. The component along the direction of motion is reduced so you get a sort of pancake-shaped distribution.
 
  • #5
Magnetic monopoles? How did you get that?
 
  • #6
jtbell said:
The electric field produced by a moving charge is not spherically symmetric. The component along the direction of motion is reduced so you get a sort of pancake-shaped distribution.

quantum123 said:
Magnetic monopoles? How did you get that?

Perhaps my question was badly phrased or I don't get what you mean.
What I'm concern is the relative distance between a proton and an electron. Suppose I have a moving observer, say with speed v. Then, both proton and electron as seen by the observer is also moving with speed v. With Newtonian physics, the relative distance between the p and e stays the same as both moving with same speed.
With SR, the relative distance will contract, i.e. smaller than the proper distance. I view the distance as something like a ruler in the traditional textbook illustration.

If the distance is smaller (length contraction), then, with EM, this means the EM force is stronger. The component of the EM force being reduced along the direction of motion does not explain, nor does the non-spherical symmetric EM field of both particles,
because both of them are reduced by the same amount,
and what is of concern is the EM interaction between p and e but not with observer,
and a reduced EM component along the direction connecting p and e does not correspond to a shorter distance (length contraction) for EM attraction.

I was assuming quantum123 said that magnetic field exist between p and e. If that's so, that means both p and e now act like monopoles. But I agree that there would be magnetic fields, if there exist relative motion, but as measured by observer, not p or e. Sorry bout the confusion.
 
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  • #7
Electric and magnetic monopoles are very different things.
In classical physics, there are no such thing as magnetic monopoles as they violate the Maxwell's equations.
 
  • #8
The point is that if the proton is moving away from the electron, but exerts a magnetic force on the electron, that would be proof that the proton is a magnetic monopole. (And if the electron was moving towards the proton, that the electron is also a magnetic monopole)

In reality, the magnetic field caused by the proton is zero at the electron: think {velocity of proton} cross {displacement from proton to electron}.


(Actually, that would be the retarded velocity of the proton, and the displacement from the retarded position of the proton, but the distinction is irrelevant here)
 
  • #9
So you define a monopole to be fields due to one particle, dipole the fields due to two particles, and N-pole to be the fields due to N particles?
That is wrong. In an oscillating antenna with 10^23 electrons, it is still called electric dipole! A rotating electron will give a magnetic dipole even if there is only one particle.
You have to look at the field lines to know what kind of N-pole you are talking about.
 
  • #10
(Incidentally, the only reason magnetic monopoles violate Maxwell's equations is because the usual form of Maxwell's equations assume there are no magnetic monopoles. There is a general form that allows nonzero electric and magnetic charge)
 

1. What is the force of attraction between the proton and electron?

The force of attraction between the proton and electron is known as the Coulomb force, and it is given by the equation F = kqpqe/d2, where k is the Coulomb constant, qp and qe are the charges of the proton and electron respectively, and d is the distance between them.

2. How does the distance between the proton and electron affect the force of attraction?

The force of attraction between the proton and electron is inversely proportional to the square of the distance between them. This means that as the distance increases, the force of attraction decreases, and vice versa.

3. What is the electric field created by the proton and electron?

The electric field created by the proton and electron is given by the equation E = kqp/d2, where k is the Coulomb constant, qp is the charge of the proton, and d is the distance between them. This electric field exists in the space around the proton and electron, and its strength decreases as the distance increases.

4. What is the potential energy of the proton and electron system?

The potential energy of the proton and electron system is given by the equation U = -kqpqe/d, where k is the Coulomb constant, qp and qe are the charges of the proton and electron respectively, and d is the distance between them. This potential energy is negative, meaning that the system is stable and the proton and electron are attracted to each other.

5. Can the proton and electron ever collide with each other?

No, the proton and electron cannot collide with each other. Due to the nature of their charges, they will always be attracted to each other, but they will never actually make contact. This is because when they get close enough, the repulsive forces between the particles' negatively charged outer shells prevent them from coming any closer.

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