formula sheet neede to solve most of the homework problems, Exercises for Calculus
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lolipopkitoko

formula sheet neede to solve most of the homework problems, Exercises for Calculus

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formula sheet neede to solve most of the homework problems
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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

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