Question

A piece of wire having a resistance r is cut into five equal parts. (i) how will the resistance of each part of the wire compare with the original resistance? (ii) if the five parts of the wire are placed in parallel, how will the resistance of the combination compare with the resistance of the original wire? what will be ratio of resistance in series to that of parallel?

Answer 1

(1) the resistance of each part will become 1/5th if the original resistance as the length also decreases by 5.

(2) in parallel comb. the resistance will be
reciprocal of
R/5