I\'m not quite understanding magnetic fields. If anyone could help i would great

Question

I'm not quite understanding magnetic fields. If anyone could help i would greatly appreciate it!

Suppose a positively charged (+q; particle (of mass m) enters a
uniform magnetic field (B pointed in the z direction) with an initial
velocity (v in the x direction).

l) What is the magnetic force that the particle experiences as
soon as it enters the field? (magnitude and direction)
2) What is the radius of the orbit the charged particle follows?
3) What magnitude of voltage would be needed to apply to the
particle in order to counter the magnetic force?

Explanation / Answer

magnetic force on the particle due to magnetic field

               F = B q V sin

2)    m v^2 / r = B q V

             r = m v / B q  

where   B = magnitude of magnetic field

            m = mass of the charged partyicle

             r = radius of the orbit

            v = velocity of the particle  

           q = charge on the particle

3)    induced   emf      = d/dt (BA )

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