E on q independent of v - confusing?

In summary, many textbooks state that the electric force exerted by a stationary charge on a moving charge is independent of the charge's velocity. This has caused confusion for some individuals who mistakenly believed that the force experienced by the moving charge would also be independent of its velocity in its own frame of reference. However, the correct interpretation is that the equation for this force is F = d/dt (gamma m v) = qE, and the concept of force in basic relativity has proven difficult for some to grasp.
  • #1
jason12345
109
0
Many textbooks make the statement that it's found experimentally that the electric force by a stationary charge on on a moving charge is independent of its velocity.

Has this lead to any confusion for people here?

Embarrassingly, I was using this to mean that in the proper frame of the moving charge, it experiences the same force E independent of its velocity. :eek:

Now I realize it simply means that:

F = d/dt (gamma m v) = qE

Of all the concepts in basic relativity I've had problems with, force stands out for me.
 
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  • #2
In the frame of the moving charge there will be a magnetic field, and that depends on the velocity. The lab frame makes calculations easier in this case.
 

1. What does "E on q independent of v" mean?

"E on q independent of v" refers to the relationship between the electric field (E) and the charge (q) in a given system. It means that the electric field strength remains constant regardless of the velocity (v) of the charged particles in the system.

2. Why is this concept confusing?

This concept can be confusing because it goes against our intuition about how electric fields work. We often think that the strength of an electric field would change if the charged particles are moving at different speeds, but in reality, it remains constant as long as the charge and distance between the particles remain the same.

3. How does this relate to electromagnetic waves?

Electromagnetic waves are made up of oscillating electric and magnetic fields. The fact that the electric field strength is independent of velocity means that the electric field component of an electromagnetic wave remains constant regardless of the speed at which the wave is traveling.

4. Is "E on q independent of v" always true?

Yes, this relationship is always true in a vacuum. However, it may not hold true in certain materials, such as conductors, where the movement of charged particles can affect the electric field strength.

5. How is this concept used in practical applications?

This concept is used in many practical applications, such as in the design of circuitry and electrical systems. By understanding that the electric field strength remains constant, engineers and scientists can accurately predict the behavior of charged particles and design systems that work reliably.

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