Question

What type of relationship exists between the length of a wire and the resistance, if all other factors remain the same? I really need help my teachers wont explain,

Answer 1

It's a correlated relationship. This means that if one goes up, so does the other. In this case, when the length of a wire goes up, the amount of resistance goes up as well.

Answer 2

The correct answer to the question is that the resistance and length of the wire are directly proportional to each other.

EXPLANATION:

The resistance of the wire is defined as the opposition to the flow of current in the wire.

Basically the resistance of the wire is dependent on three factors. It depends on the dimension of the wire i.e length and area of cross section of the wire, temperature and nature of material of the wire.

As per the question, all the parametres or factors except the length of the wire are taken constant.

The resistance of the wire increases with the increase in length of the wire and decreases with the decrease of length of the wire.Hence, the resistance of the wire is directly proportional to the length of the wire.

Mathematically Resistance  ∝ Length of wire

                                       ⇒ R  ∝ L