**Elastic Potential Energy In A Stretched Wire-**

Elastic Potential Energy stored in a stretched wire is defined as the amount of work done by an external force to stretch the wire. |

**Consider-**

- A wire of
**length L**and**area of cross-section A**is suspended freely from a rigid support. - Let a
**force F**be applied to stretch the wire. - Let
**ℓ be the length**through which the wire is**stretched**.

**The tensile stress on the wire is given by-**

**The longitudinal strain produced in the wire is given by-**

**Now, the Young’s Modulus of Elasticity of the material of wire is given by-**

**Now, the work done in stretching the wire further through a distance dℓ is given by-**

**The total work done in stretching the wire through ΔL can be calculated by integrating dW between the limits ℓ = 0 to ℓ = ΔL as-**

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**Breaking Stress | Elongation due to Self Weight**

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