Consider a parallel plate capacitor shown in Fig.1(a). The side width of the plates is w, the thickness of the plates is negligibly small, and the separation between the plates is d . The plates are made of a perfect electric conductor and the space between them is filled with vacuum.

1). Write a computer code to find the discretized charges n Q and then to find the capacitance C . You are advised to use Matlab due to its simplicity and the presence of built-in functions for visualization.

2). Assume that w = 1cm and d = 3mm. For these parameters, generate a figure representing the surface charge distribution on one of the plates (for example, in Matlab you can use the function