The discussion centers on the behavior of a charged particle in different fields: electric, magnetic, and gravitational. It concludes that if a charged particle is stationary or moving in any direction without experiencing a force, it must be in a gravitational field, assuming it is not massive. The conversation highlights the nuances of how electric and magnetic fields interact with charged particles, emphasizing that a combination of electric and gravitational fields could allow for a stationary state. The Lorentz invariance of charge is also noted, indicating that charge does not change with motion.
PREREQUISITESStudents in physics, educators teaching electromagnetism and gravitation, and anyone interested in advanced concepts of particle dynamics in various fields.
Presumably you are intended to assume that say, the particle is massive and charged? If that is the case which of those forces would produce such motion.Ellie said:I got a question from my exam. We are given the name of three fields; electric field, magnetic field and gravitational field. A charged particle is placed in a field, but no force will act on it if it's stationary or moving in any direction. What field is the particle placed in?
Vagn said:Presumably you are intended to assume that say, the particle is massive and charged? If that is the case which of those forces would produce such motion.
my2cts said:If the particle is not massive there is no solution.
If it is the right combination of electric and a gravitational fields can do the job at rest.
When it moves, its energy increases by a factor 1/sqrt(1-v^2) but so does its charge.
So the solution is still valid.
The charge is a Lorentz invariant, and does not change with motion.my2cts said:When it moves, its energy increases by a factor 1/sqrt(1-v^2) but so does its charge.