Twelve capacitors, each having a capacitance C, are connected to form a cube . Find the equivalent capacitance between the diagonally opposite corners such as A and B.

Figure shows a combination of twelve capacitors, each pf capacitance C, forming a cube. Find the equivalent capacitance of the combination (i) between the diagonally opposite corners A and B of the cube (ii) between the diagonally opposite corners A and D of a face of the cube.

Twelve wire, each having equal resistance r, are joined to form a cube as shown in figure.Find the equivalent resistance between the diagonally opposite points a and f .

Twelve wire, each having equal resistance r, are joined to form a cube as shown in figure.Find the equivalent resistance between the diagonally opposite points a and f .

Three equal capacitors, each with capacitance C are connected as shown in figure. Then the equivalent capacitance between A and B is

Three equal capacitors, each with capacitance C are connected as shown in figure. Then the equivalent capacitance between A and B is