A uniform wire with a resistance of 50 ext is cut into 5 equal parts. These parts are subsequently connected in parallel. Determine the equivalent resistance of the combination.

Step-by-step solution

The resistance of the uniform wire is R = 50 . When the wire is cut into 5 equal parts, the resistance of each part becomes r = R 5 = 50 5 = 10 . When these 5 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 = 5 r R_ eq = r 5 = 10 5 = 2 .