Answer to Question #229888 in Electricity and Magnetism for Frieda Kaulinge

Question

A magnetic field is produced inside a cubic chamber of volume A and the electromagnetic waves propagate at the speed of light c. If some other particle is present in this chamber, list the four conditions under which this particle of mass m will experience a force-free "life".

Answer 1

Given that mass of the particles inside the chamber be m and the volume of the chamber be A.

Particle will experience a force free life if

1. $mg=qE$
2. $\frac{ mv^2}{R^2} = qVB$
3. If electric and magnetic field are perpendicular in such a way that $qvB+qE=mg$
4. If electric field and magnetic field arrange in such a way that $qvB=mg+qE$ or $qE= qvB+mg$