List of Tasks

Let the point charge actually be an electron.

Make sure that you use appropriate units.

The $E$ and $B$ fields have to be inputted. The vectors should be entered as two vectors with three components.

Your code should contain a function cross$(v1,v2)$ that calculates the cross product of two vectors.

The main body of your code should then calculate the trajectory using the Newtonian kinematics.

Your simulation of the trajectory should run for a large enough number of steps to see enough of the trajectory; therefore, choose your

time step accordingly.

Your code should produce an output file, S$23.$dat, with three columns $x,y$ and $z($the coardinates of the particle at each time step$).$

You may take initial position vector and initial velocity vector components as vec$(r{)}_0=(0,0,0)$ and vec$(v{)}_0=(0,0,0).$

Allowed Libraries

math

random

mathplotlib.pyplot or any other equivalent plotting library

for constants, see the links on top.