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resumen electromagnetismo

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resumen electromagnetismo
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  Coordinate and Unit Vector Definitions Rectangular Coordinates (  x,y,z )Cylindrical Coordinates (   ,   ,  z )Spherical Coordinates ( r,   ,   )  Vector Definitions and Coordinate Transformations Vector DefinitionsVector MagnitudesRectangular to Cylindrical Coordinate Transformation(  A  x ,  A  y ,  A z )    (  A   ,  A   ,  A z )The transformation of rectangular to cylindrical coordinates requiresthat we find the components of the rectangular coordinate vector  A  in thedirection of the cylindrical coordinate unit vectors (using the dot product).The required dot products arewhere the  a  z  unit vector is identical in both orthogonal coordinate systems  such thatThe four remaining unit vector dot products are determined according tothe geometry relationships between the two coordinate systems.The resulting cylindrical coordinate vector is  In matrix form, the rectangular to cylindrical transformation isCylindrical to Rectangular Coordinate Transformation(  A   ,  A   ,  A z )    (  A  x ,  A  y ,  A z )The transformation from cylindrical to rectangular coordinates canbe determined as the inverse of the rectangular to cylindricaltransformation.The cylindrical coordinate variables in the transformation matrix must beexpressed in terms of rectangular coordinates.
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