A homogeneous piece of 135 ohm wire was cut into three equal pieces.

A homogeneous piece of 135 ohm wire was cut into three equal pieces. The resulting pieces were connected in parallel. Determine the resistance of this connection.

Initial data: R (nominal wire resistance) = 135 Ohm; n (the number of equal parts into which the wire was cut) = 3 pieces.

1) Let’s calculate the resistance of one piece of wire after the cut: R1 = R2 = R3 = R / n = 135/3 = 45 Ohm.

2) Determine the resistance of the resulting connection: 1 / Rpar. = 1 / R1 + 1 / R2 + 1 / R3 = 3 / R1, whence Rpar. = R1 / n = 45/3 = 15 ohms.

Answer: The resistance of the resulting connection will be 15 ohms.