Spherical Polar Coordinates

ApplicationsLaPlacianGradientDivergenceCurl
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Cylindrical Polar Coordinates

With the axis of the circular cylinder taken as the z-axis, the perpendicular distance from the cylinder axis is designated by r and the azimuthal angle taken to be Φ.

ApplicationsLaPlacianGradientDivergenceCurl
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Applications of Spherical Polar Coordinates

Physical systems which have spherical symmetry are often most conveniently treated by using spherical polar coordinates.

Hydrogen Schrodinger EquationMaxwell speed distribution
Electric potential of sphere
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Applications of Cylindrical Polar Coordinates

Physical systems which have cylindrical symmetry are often most conveniently treated by using cylindrical polar coordinates.

Cylindrical capacitorElectric field of line charge.
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