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# Electrostatics formulas

## Electrostatic force

### Coulomb's Law

### Vector notation

## Electrostatic field

### Electric field due to a point charge

## Electric dipole

### Dipole moment

### Electric field at an axial point of a dipole

### Electric field at an equatorial point of a dipole

### Torque acting on a dipole in a uniform electric field

### Potential energy of a dipole in a uniform electric field

## Electrostatic potential

### Electrostatic potential difference

### Potential due to a point charge

### Potential at an axial point of a dipole

### Potential at an equatorial point of a dipole

## Relation between electrostatic field and potential gradient

### Electric field = negative of the potential gradient

## Electrostatic potential energy

### Electrostatic potential energy of two point charges

## Gauss' theorem

### Electric flux

### Gauss' theorem

### Electric field E due to infinitely long straight wire (a line charge)

### Electric field E due to thin infinite plane sheet of charge

### Electric field between two thin infinite plane parallel sheets of charge

### Electric field due to uniformly charged spherical shell

## Capacitance

### Isolated spherical conductor

### Parallel plate capacitor

### Capacitors in series

### Capacitors in parallel

### Energy stored in a capacitor

### Common potential

### C with conducting slab between the two plates

### C with dielectric slab between the two plates

F = kq_{1}q_{2}/r^{2}

where k=1/4πε_{o}=9x10^{9}Nm^{2}C^{-2}

ε_{o} = 8.85x10^{-12}C^{2}m^{-2}N^{-1}

E = F/q_{o} = kq/r^{2} N/C

E due to circular loop of charge (radius r) at a distance x from the center

Cm

if then

Definition: Electric flux ϕ through any closed surface is 1/ε_{o}
times the net charge Q enclosed by the surface.

for r > R

for r < R

for r = R

Farad 1F = 1 C/V

or where and k is dielectric constant

Energy density

where t is thickness of slab [t < d]

where k is the dielectric constant