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**Formula sheet
**

**Cartesian Coordinates **

Vector ̅ ̂ ̂ ̂

Position vector ̅ ̂ ̂ ̂

Differential length ̅ ̂ ̂ ̂

Gradient ̅

̂

̂

̂

Divergence ̅ ̅ ̅

Curl ̅ ̅ ̅ ||

̂ ̂ ̂

||

Laplacian

**Cylindrical Coordinates **

Vector ̅ ̂ ̂ ̂

Position vector ̅ ̂ ̂

Differential length ̅ ̂ ̂ ̂

Gradient ̅

̂

̂

̂

Divergence ̅ ̅ ̅

Curl ̅ ̅ ̅

| |

̂ ̂ ̂

||

Laplacian

(

)

**Spherical Coordinates **

Vector ̅ ̂ ̂ ̂

Position vector ̅ ̂ Differential length ̅ ̂ ̂ ̂

Gradient ̅

̂

̂

̂

Divergence ̅ ̅ ̅

Curl ̅ ̅ ̅

||

̂ ̂ ̂

||

Laplacian

(

)

(

)

**Conversion of unit vectors
**

̂ ̂ ̂ ̂ ̂ ̂

̂ ̂ ̂ ̂ ̂ ̂

̂ ̂ ̂ ̂ ̂ ̂

**Boundary Conditions
**

Electrostatics: ̅ ̅ ;

Magnetostatics: ̅ ̅ ̂ ̅;

**Electric Flux Density
**

̅

̂ For infinitely long line charge

̅

̂ For infinite charge sheet