Question

What happens to area when the length of wire is doubled?

Answer 1

When the length of a wire is doubled, the **area** of the wire depends on how the wire is shaped or how it's being manipulated.

If we are talking about a **cylindrical wire** (like most wires used in electrical circuits), the area typically refers to the **cross-sectional area** of the wire.

For example, if the wire is circular in shape, doubling the length of the wire doesn’t directly affect the cross-sectional area unless you also change the wire's thickness or material properties. If the thickness or material is kept constant, the area remains the same, regardless of how long the wire is.

However, if you're talking about **reshaping the wire** while keeping the material's total volume constant (such as turning it into a thinner, longer wire), the **cross-sectional area** would actually decrease. This is because the total volume of the wire is fixed, and to keep the volume constant, when you increase the length, the cross-sectional area must decrease.

So, if the length of the wire doubles but the volume remains constant, the cross-sectional area will become **half** of the original area.