Discretizing a charge distribution $(4$ points$)$

Let's say that instead of a point charge, we now have a charge distribution. We can approximate this as a collection of point charges within a volume, which is called discretization. For initial simplicity, let us consider an origin centered cube, total charge C$,$ whose volume lies within $.$ We will discretize this cube in a few steps:

Discretize the volume of the insulator with np$.$meshgrid. Let's call the output cube$\_$samples. You can do this in one or two steps. Make sure to also define x$\_$cube$\_$points, y$\_$cube$\_$points and z$\_$cube$\_$points.

Reshape cube$\_$samples for use with calculate$\_$efield$\_$from$\_$charges: define points$\_$in$\_$cube and make sure that this has shape $(3,$ num$\_$points$\_$in$\_$cube$)$

Given num$\_$points$\_$in$\_$cube, divide the total charge Q into the number of points sampling the cube. Use this to define dq$\_$cube $($the discretized charges$).$ This is a rough approximation.

Dcube$\_$sample$\_$points is defined to span only the extent of the cube, and let's sample $10$ points across again. Use cube$\_$sample$\_$points as your arguments in np$.$meshgrid. Name the outputs of np$.$meshgrid, x$\_$cube$\_$points, y$\_$cube$\_$points, and z$\_$cube$\_$points, and combine them into a single array as we've done before, cube$\_$samples. $(2$ points$)$