Question

A wire of resistance R1 is cut into 5 equal pieces this 5 pieces of wires then connected in parallel if the resultant resistance of the combination is R2 then find the value of R1/ R2 ?

Answer 1

Hi..

When cut into 5 pieces, resistance of each part is R/5.

So, equivalent resistance of the 5 pieces when connected in parallel is, 1/R1 = 5/R + 5/R + 5/R + 5/R + 5/R

=> R1 = R/25

So, required ratio is, R : R1 = 25 :1..


Hope this helps u!