Let a charge carrier with charge -2e enter a parallel plate capacitor as shown in Figure 2 with length L1. The potential on the shaft at the axial plane (y = 0) is V0 the potential of the two planes V1 = 0. Let a particle of energy eV0 enter with a distance from the y1 = 0 axis and parallel to the axis. a. Write the equations of motion and the equation of the particle's orbit in an electric field.
b. Determine the lens shift matrices.
c. Determine the eccentricity of the lens.
d. Determine the focal length of the lens? Indicate whether this lens is an internal converging or diverging lens for a particle with a charge of -2e.
Determine the distance of the particle and the slope of the particle trajectory when leaving the lens if known: V0 = 500V, L1 = 30cm; The particle entering the electric field is He-2.