Question

a piece of wire of resistance R is cut into 5 equal parts an are connected in parallel. if equivalent resistance of this combination is R', then find the ratio R/R'​

Answer 1

Explanation:

since resistance is proportional to its length, the resistance of each wire will have a resistance of R/5.

we know in parallel combination, the equivalent resistance R' is determined by

(1/R') =(1/R/5)+(1/R/5)+(1/R/5)+(1/R/5)+(1/R/5)

R' = R/25

Hence R/R' = (R)/(R/25) = 25