Question

How does the resistance of a wire change when:it’s lenght is quadrupled on its own

Answer 1

Resistance of a wire is directly proportional to its length. When length of the wire is quadrupled on its own it's new resistance will be four times that of previous resistance.

Answer 2

The resistance of a wire depends on two factors.

The resistance of a wire is directly proportional to the length of conductor.

The resistance of a wire is inversely proportional to area of cross section of wire.

Let L , R and A denote the length, resistance and area of cross section of the conductor .

Mathematically resistance   $R\ \alpha \ \frac{L}{A}$

As per the question, the length of the conductor is quadrupled i.e it is increased by four times.

As area is not changing, so resistance will be proportional to length of wire only.

Hence, from above, it is obvious that the resistance of the wire will be four times its initial value.