a. If in an infinite circuit consisting of square cells, current i is supplied through one node A, and current i is withdrawn through the neighboring node B, then what current goes through the resistance connecting nodes A and B? What is the equivalent resistance of the circuit between these nodes if the resistance of the side of the cell is r?
b. What is the equivalent resistance between adjacent nodes of an infinite cubic armature if the resistance of the edge of the cube is r?
c. Determine the resistance between nodes A and B of a two-dimensional infinite grid with regular hexagon cells and nodes C and A located through one adjacent node. The side of each cell has a resistance r.