Position of particle in a magnetic field

AI Thread Summary
To determine the position of a charged particle in a magnetic field over time, the Lorentz force equation is applied, resulting in acceleration components Ax and Ay based on the particle's velocity and the magnetic field. The equations for position X(t) and Y(t) are derived, incorporating constants A1, A2, A3, and A4, but the user is uncertain how to proceed from this point. The discussion highlights the need for further guidance on solving the equations for specific time-dependent positions. The focus remains on understanding the motion of the particle under the influence of the magnetic field. Additional insights or methods to solve the equations are requested.
gabrown
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Homework Statement



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).

Homework Equations



Lorentz Force F=q(VxB)
F=Ma



The Attempt at a Solution



Ax = q Vy Bz
Ay = - q Vx Bz

follows that

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


cheers

Gareth
 
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