Perform particle motion simulation in framework of particle-in-cell approach.

Calculate the trajectory of an electron using the parameters given in Table.1. All other components are zero.

X Coordinate	Y Coordinate	Z Coordinate
V0,x =105 m/s	V0,y = 2×105 m/s	V0,z = 1.5×105 m/s
Ex = 1000 V/m	Ey = 0	B = 0.1 T; Ez = 0
Particle: electron
Initial position (0,0,0)
Time step size: 10-11 s
Total Time Step: 100

Plot the result of the simulation on a 3-axix plot. Remember to label the axes and provide the correct units. Additionally:

• Calculate the magnitude of the velocity at step 100 and provide the three velocity components at step 100.
• Calculate the distance travelled in z-direction by the particle in the 100 steps. How much distance would have the particle travelled if V_0,x= V_0,y = 0?
• Calculate the Larmor radius at step 100.