The discussion centers on the interaction of electric and magnetic fields in a moving coordinate system, specifically involving a line charge with charge density λ and a moving charge q. Participants clarify that in a moving reference frame, while the line charge and point charge appear stationary relative to each other, the point charge experiences a magnetic force due to the presence of a magnetic field generated by the moving line charge. This phenomenon is attributed to the relativistic effects described by Lorentz transformations, which show that electric and magnetic fields transform into one another depending on the observer's frame of reference.
PREREQUISITESPhysicists, students of electromagnetism, and anyone interested in the relativistic effects of electric and magnetic fields in moving coordinate systems.
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?