How Does Motion Affect Mass and Electric Fields in Different Inertial Frames?

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SUMMARY

The discussion confirms that an object's length contracts in the direction of motion and that the strength of an electron's electric field increases orthogonally to that direction. However, the concept of mass increase is clarified; while relativistic mass changes with motion, invariant mass remains constant. The relationship between the increase in an object's inertia and the electric field of an electron is explored, suggesting that changes in energy due to relative motion can affect the perceived weight of a system. The complexities of electromagnetic fields in different inertial frames are emphasized, particularly regarding the transformation of electric and magnetic fields.

PREREQUISITES
  • Understanding of special relativity concepts
  • Familiarity with electric and magnetic fields
  • Knowledge of invariant mass vs. relativistic mass
  • Basic principles of electromagnetism
NEXT STEPS
  • Research the transformation of electric and magnetic fields in special relativity
  • Study the concept of relativistic mass and its implications
  • Examine published papers on the interaction of charges in different inertial frames
  • Learn about the vector potential representation of electromagnetic fields
USEFUL FOR

Physicists, students of electromagnetism, and anyone interested in the implications of special relativity on mass and electric fields will benefit from this discussion.

Emanresu
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I believe the following are all true for an observer in a different inertial frame :

An object's length is contracted in the direction of its motion
An object's mass increases under motion
The strength of an electron's field is reduced in the direction of motion
The strength of an electron's field is increased orthogonally to the direction of motion

Have I got this right ? If so, is there a connection between the mass increase of an object and the field increase of an electron ?

E.
 
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it isn't exactly mass increase.It is just energy that increases inertia
 
Also the E and B fields of a moving electron are more complicated.
 
Indeed, the important thing to remember about electromagnetism is that E and B are not true vectors. Their representations in terms of vector potential, A, are true however, and transform correctly under special relativity.
 
Emanresu said:
is there a connection between the mass increase of an object and the field increase of an electron ?
Quite likely. There's a few published papers around discussing how when two (or more) charges are held nearby one another (changing the total energy of the system), you can even uncover the mechanism by which the weight of the system changes (basically, in an accelerated frame, each electron's asymetric field results in an unbalanced inertia-like force).
 
Emanresu said:
I believe the following are all true for an observer in a different inertial frame :

An object's length is contracted in the direction of its motion
Yes.
An object's mass increases under motion
This is ambiguous as stated. Invariant mass does not change with motion. Relativistic mass does change with motion. See the usual FAQ's.
The strength of an electron's field is reduced in the direction of motion
Most likely wrong. If you have two observers at the same point in space-time that are moving relative to each other, the parallel component of the E-field will not change. You may be thinking of a different scenario. See for instance http://www.phys.ufl.edu/~rfield/PHY2061/images/relativity_13.pdf

The strength of an electron's field is increased orthogonally to the direction of motion

Yes, as per the above link, with the same scenario (two obsevers in relative motion at the same point measure how the E-field transforms).
 
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