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`.

ABC is a triangle made up of wire.The resistances of the sides AB, BC and CA are respectively 40, 60 and 100Omega The equivalent resistance between the points A and B is :

A uniform wire of resistance R is shaped into a regular n sided polygon, where n is even. Find the equivalent resistance between Opposite corners of the polygon

A uniform wire of resistance R is shaped into a regular n sided polygon, where n is even. Find the equivalent resistance between adjacent corners of polygon.

Twelve equal wires, each of resistance r, are joined to form a skeleton cube. The current enters at one corner and leaves at the diagonally opposite corner. Find the total resistance between these corners.

Twleve equal wires , each of resistance r ohm , are connected so as to form a frame of a cube . An electric current enters this cube at one corner and leaves from the diagnalyy opposite corner . Calculate the total resisatance between the corners .

A 1 m long metal wire has a cross sectional area of 0.1mm^2 . Find out the resistance of the wire if the resistivity of the metal is 1.8 times 10^-6 Omega.cm.

A potentiometer wire has length 4m and resistance 8Omega the resistance that must be connected in series with the wire and an accumulaterof emf 2 V so as to get a potential gradient 1 mV ,per cm on the wire is