A wire of resistance R is cut into five equal pieces These five pieces of wire are then connected - Physics - Electricity

Question

A wire of resistance R is cut into five equal pieces These
five pieces of wire are then connected in parallel If the resultant
resistance of this combination be R then the ratio of resultant to
the original will be?

Neha Sarin · Accepted Answer

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

A wire of resistance R is cut into five equal pieces. These five pieces of wire are then connected in parallel. If the resultant resistance of this combination be R then the ratio of resultant to the original will be?