ABCD is a square of side a meters and is mae up of wires of resistance `xOmega//m`. Similar wires are connected across the diagonals AC and BD. Show that the effective resistance of the frame-work between the corners A and C is `(2-2sqrt(2)` ax `Omega`.

A wire of resistance 0.1 cm^(-1) bent to form a square ABCD of side 10 cm. A simailar wire is connected between the corners B and D to form the diagonal BD. Find the effective resistance of this combination between cornaers A and C. If a 2V battery of negligible internal resistance is connected across A and C calculate the total power dissipated.

Three wires each have resistance 2Omega , if we connect 2 in series with one parallel to the combination the equivalent resistance is

In the net work each resistance is 2 Omega . Find th effective resistance between A and B

Four wires AB , BC , CD , DA of resistance 4 ohm each and a fifth wire BD of resistance 8 ohm are joined to form a rectangle ABCD of which BD is a diagonal. The effective resistance between the points A and B is

A uniform wire of 16 Omega resistance is made into the form of a square. Two opposite corners of square are connected by a wire of resistance 16 Omega . The effective resistance between the other two opposite corners is

A uniform wire of 16 Omega is made into the form of a square. Two opposite corners of the square are connected by a wire of resistance 16Omega . The effective resistance between the other two opposite corners is

Twelve wires, each of resistance 6Omega are connected to form a cube. The effective resistance between two diagonally opposite corners of the cube is

A potentiometer consists of a wire of length 4 m and resistance 10Omega . It is connected to a cell of emf 2V.The potential gradient of the wire is