The discussion revolves around the behavior of electric and magnetic forces in a moving coordinate system, particularly focusing on a line charge and a point charge. Participants explore the implications of Lorentz transformations on the perception of forces in different reference frames, addressing both theoretical and mathematical aspects.
Participants exhibit disagreement regarding the initial claim about the magnetic field's presence in a moving reference frame. While some argue that no magnetic force is felt due to the lack of relative motion, others assert that magnetic and electric fields transform into each other, leading to the presence of a magnetic force. The discussion remains unresolved with competing views on the interpretation of forces in moving frames.
Participants mention the need for mathematical analysis, indicating that the discussion may be limited by assumptions regarding the transformation of fields and the specifics of the reference frames involved.
This discussion may be of interest to those studying electromagnetism, special relativity, or anyone looking to understand the interplay between electric and magnetic forces in different reference frames.
Tajimura said:In a moving reference frame the line charge and the point charge are not moving relative to each other, so the charge will not "feel" any magnetic field.
Yup, you are right. It just rained down on me after I send the answer and left the forum, that relative speed of charges bears no importance here. Magnetic force is just a relativistic effect of changing a reference frame, and though moving observer is observing additional magnetic force, electric force observed by him is less than the electric force observed by stationary observer, so full force is just the same in both cases.Orodruin said:This is irrelevant, the charge is moving and there is a magnetic field, so the charge will be subjected to a magnetic force. What needs to be realized is that magnetic and electric fields, and therefore forces, transform into each other under Lorentz transformations.
Just insert linear change field into Lorentz transformations with burst v and see how the field get transformed into linear combination of electric and magnetic fields.brianeyes88677 said:Can anyone do it mathematically?