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 Rectangular Co-ordinate system. (Example: Cube, Cuboid) Cylindrical Co-ordinate system. (Example : Cylinder) Spherical Co-ordinate system. (Example : Sphere) - 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 call...