When a charged particle of mass m, and charge q, moving in a magnetic field of magnetic flux density B, perpendicularly to the direction of the field at a velocity v, the charged particle experiences a magnetic force Fm.
a. Give the equation for the magnitude of the magnetic force, Fm, in terms of B, v and q.
b. Give the direction of the magnetic force, Fm, relative to
- i B.
- ii v.
c. How does your answer to part b ii confirm that the charged particle will follow a circular path?
d. Deduce an expression for the radius, r, of the circular path.
e. What happens to the radius of the circular path if
- i m increases?
- ii v increases?
- iii B increases?
- iv q increases?