A uniform metallic wire has a resistance of 72 . It is cut into six equal parts. If these parts are then connected in parallel, what will be the equivalent resistance of the combination?

Step-by-step solution

Resistance of the uniform metallic wire, R = 72 When the wire is cut into six equal parts, the resistance of each part becomes R' = R 6 = 72 6 = 12 When these six parts are connected in parallel, the equivalent resistance R_ eq is given by: 1 R_ eq = 1 R' + 1 R' + 1 R' + 1 R' + 1 R' + 1 R' R_ eq = R' 6 R_ eq = 12 6 = 2 Answer: 2