1. For a parallel plate capacitor as shown:

a) Determine the Electric field E in the region between the two plates b) Find the general expression for the potential VAB c) If the potential is 10V at z=2m find the potential at z= -2m d) Write a python program to visualise the 2D potential using a contour plot and the 2D electric field using a quiver plot in the region between the two plates. What is the dependence if theelectric fields and the potential on x, y, and z.