Suppose that the instantaneous velocities of two positive point charges are parallel. Compare the electric and magnetic forces. Show that the ratio of the magnetic force (Fmag) to the electric force (Felec) is: Fmag/Felec = v1*v2/c^2
Where v1 and v2 are the velocities of particle 1 and particle 2 respectively, and c is the speed of light.
F = qE + qv*B
The Attempt at a Solution
I know that you need to use the Lorentz force in some form, but I am confused as to how the speed of light is incorporated into the solution. This is a practice problem for my exam later on this week, so any help would be appreciated.