# Electrostatics

No gurantee this all is correct :D

**Charge: **q; SI: [C] Coulomb

**Field: **E; SI: [V/m]

**ε₀= 8.85x10**^{-12}

**k **_{vacuum}= 8.987x10^{-9}

### Coulomb's law:

### Electrostatic field

Point charge

Distributed charge

Integrals are cool, but they are pain in the ass. So here are pre-calculated formulas for various shapes.

Infinite charged line's field

where

**d** is distance from the charged line, and

**λ** is a charge density

Non-infinite charged line's field. Middle of line

where

**d** is distance from the charged line,

**l** is bar length and

**q** is a charge

Ring, central axis

Where

**r** is radius, and

**d** is distance to the center.

Disc with a hole

Where

**R**_{2} is outside radius,

**R**_{1} is inside radius, and

**d** is distance to the center.

### Flux: