I am wanting to get position (x and y) of a particle moving in a magnetic field as a function of time.
So, we have a particle of mass m, charge q, velocity (Vx,0,0) moving in a magnetic field (o,o, Bz) starting at t=0 as (0,0,0), what is X(t) and Y(t).
Lorentz Force F=q(VxB)
The Attempt at a Solution
Ax = q Vy Bz
Ay = - q Vx Bz
X(y,t) = (q.Y.Bz + A1)t + A2
Y(x,t) = (-q.X.Bz +A3)t + A4
but not sure where to go from here