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Mathematical Fundamentals

Cylindrical Co-ordinate System :

For cylindrical coordinate systems we have a point is determined as the point of intersection of a cylindrical surface r = r0, half plane containing the z-axis and making an angle ; with the xz plane and a plane parallel to xy plane located at z=z0 as shown in figure 7 on next page.

In cylindrical coordinate system, the unit vectors satisfy the following relations

A vector can be written as , ...........................(1.24)

The differential length is defined as,

......................(1.25)

.....................(1.23)