We located n2different point charges in period [1, n2] in a square lattice.
Horizontal or vertical distance of each charge to its beside charge is equal to
unit. The final shape created with all charges is a square matrix with the
condition of n> 2. à (1)
As you know, maximum electro-static potential will bring when the maximum
electric charges to be divided on minimum distances and minimum electric charges
to be divided on maximum distances and, apposite for bringing the minimum
potential. Average of minimum and maximum potential at the center of this matrix
(geometrical center) is equal to A.
Now suppose, we created a new matrix with condition (1) by arranging the charges
through a way that the potential at the center of it has been equal to B, and
A=B.
Physically, what does it mean?
What connection is there between these two matrixes?
Peyman Fahimi
Undergraduate student of physics
Bu-Ali Sina University