A uniform wire with a resistance of 27 ohm is divided into three equal pieces and then they are joined in parallel. Find the equivalent resistance of the parallel combination.

The new resistance = 27 / 3 = 9 due to the wire being divided into three pieces.

Three resistances are now linked in a parallel fashion.

1 / r = 1 / r₁ + 1 / r₂ + 1 / r₃

1 / r = 1 / 9 + 1 / 9 + 1 / 9

1 / r = 3 / 9

1 / r = 1 / 3

r = 3 ohm