Question

If a wire of resistance r is cut into three and parallel. Resistance of the combination

Answer 1

In the given arrangement,

the length of each piece is 1/3 and the pieces are in parallel Thus,

resistance in each piece=r/3ohm(r is resistance of original wire).

1/Rp=3/r+3/r+3/r

1/Rp=9/r

Rp=r/9

Therefore the resistance of the combination is 9/r.