Dynamics of a charged particle in a ramp magnetic field

In this contribution we simulate the dynamics of a charged particle when it is subjected into a magnetic field varying in time, particularly, in a ramp magnetic field. It is considered the Newton´s Second Law and the Lorentz´s Force Law and it can be observed the behavior of the particle with the analysis of the position, the velocity and the acceleration. Also is possible to see the effect of reduction in its velocity when that particle is coming to the center of a spiral trajectory. The simulation was possible using the method of Runge-Kutta for solving the system of equations.