Question

a uniform wire of resistance R is cut into n equal parts. these parts are then connected in parallel with each other. the equivalent resistance of the combination is. objective answers

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