The nodes in an electrical network lie on the vertices (1/n, 1/n) for - n ≤ i, j ≤ n in a square grid centered at the origin: the wires run along the grid lines. The boundary nodes, when x or y = ± 1, are all grounded. A unit current source is introduced at the origin.
(a) Compute the potentials at the nodes and currents along the wires for n = 2, 3, 4.
(b) Investigate and compare the solutions for large n. i.e., as the grid size becomes small. Do you detect any form of limiting behavior?