Electric Field Due to Infinite Line Charge

Electric Field Due to Infinite Line Charge

### Formula

$$E=\frac{\lambda}{2\pi\epsilon_0r}$$

### Terminologies

- λ → Linear charge density.

- r → Distance from line charge.

### Linear Charge Density

$$\lambda=\frac{q}{L}$$

### Conditions / Special Cases

Field decreases as:

$$E\propto\frac{1}{r}$$

### Usage

- Used for infinitely long charged wire problems.