Introduction To Coordinate System & Transformation - Field Theory


In order to describe the spatial variations of the quantities, appropriate coordinate system is required.


- A point or vector can be represented in a curvilinear coordinate system that may be orthogonal or non-orthogonal.

- An orthogonal system is one in which the coordinates are mutually perpendicular to each other.

- The different types of orthogonal co-ordinate system available are:
  • Cartesian or Rectangular.
  • Circular Cylindrical.
  • Spherical.
  • Elliptical Cylindrical.
  • Hyperbolic Cylindrical.
  • Parabolic Cylindrical .

The choice depends on the geometry of the application.


- The frequently used and hence discussed herein are

- A set of 3 scalar values that define position and a set of unit vectors that define direction form a co-ordinate system.


- The 3 scalar values used to define position are called co-ordinates. All coordinates are defined with respect to an arbitrary point called the origin.


- The 3 unit vectors used to define direction are also called base vectors.


ALSO READ:

- Cartesian Coordinate System / Rectangular Coordinate System (x, y, z).

- Differential Analysis Of Cartesian Coordinate System.

- Circular Cylindrical Coordinate System (ρ, φ, z).

- Differential Analysis Of Cylindrical Coordinate System.

- Spherical Coordinate System ( r, θ , φ).

- Differential Analysis Of Spherical Coordinate System.

- Numericals / Solved Examples - Page 1.

- Numericals / Solved Examples - Page 2.

- Short Notes/FAQ's

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