Question

Uniform wire of resistance R is cut into n equal parts these parts are then connected in parallel which is the other equivalent resistance of the combination is

Answer 1

Resistance of wire = R

Resistance of each piece = R/n

Each piece connected in parallel

1/Req = n/R + n/R + n/R ....... n

1/Req = n x n/R

1R eq = n^2/R

R eq = R/n^2

Hence

When wire of resistance R is cut into n pieces and each piece is connected in parallel then equivalent resistance of the combination is R/n^2