A wire of length 32 ~m and cross-sectional area 6 ~mm ^2 having resistivity of 1.5 10⁻⁶ ~m is bent into the shape of a complete square. The equivalent resistance between any two adjacent corners of the square will be

Step-by-step solution

Total resistance of the wire is given by R = L A . Substituting the given values: R = 1.5 10⁻⁶ 32 6 10⁻⁶ = 8 When the wire is bent into a square, it is divided into four equal sides. The resistance of each side is: R_ side = 8 4 = 2 For two adjacent corners, one side of resistance 2 is in parallel with the other three sides in series, which have a combined resistance of 3 2 = 6 . The equivalent resistance R_ eq is: R_ eq = 2 6 2 + 6 = 12 8 = 1.5 Answer: 1.5