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`.

PQRS is a square of side l m long and is made up of wire of resistances r Omega//m . Similar wires are connected across the diagonals PQ and QS show that the effective resistance of the framework between the corner P and R is (2 -sqrt3)lrOmega .

ABCD is a square of side 'a' metres and is made of wires of resistance x ohms//metre. Similar wires are connected across the diagonals AC and BD. The effective resistance between the ax corners A and C will be

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.

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.

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

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