Energy Stored in Stretched Wire

Energy Stored in Stretched Wire

### Formula

$$U=\frac{1}{2}F\Delta L$$

### Using Young's Modulus

$$U=\frac{F^2L}{2AY}$$

### Energy Density

$$u=\frac{U}{Volume}$$

### Formula

$$u=\frac{1}{2}(Stress)(Strain)$$

### Terminologies

- U → Elastic potential energy.

- u → Energy density.

- F → Applied force.

- ΔL → Extension.

### SI Unit

$$Jm^{-3}$$

### Usage

- Used in wire stretching and elasticity energy problems.