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- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_I_(Ellingson)/04%3A_Vector_Analysis/4.03%3A_Cylindrical_CoordinatesThe cylindrical system is defined with respect to the Cartesian system. In lieu of x and y , the cylindrical system uses ρ , the distance measured from the closest point on the z axis,1 and ϕ ,...The cylindrical system is defined with respect to the Cartesian system. In lieu of x and y , the cylindrical system uses ρ , the distance measured from the closest point on the z axis,1 and ϕ , the angle measured in a plane of constant z , beginning at the +x axis ( ϕ=0 ) with ϕ increasing toward the +y direction.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/04%3A_Vector_Analysis/4.02%3A_Cartesian_CoordinatesConcepts described in that section – i.e., the dot product and cross product – are described in terms of the Cartesian system. In this section, we identify some additional features of this system that...Concepts described in that section – i.e., the dot product and cross product – are described in terms of the Cartesian system. In this section, we identify some additional features of this system that are useful in subsequent work and also set the stage for alternative systems; namely the cylindrical and spherical coordinate systems.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/04%3A_Vector_Analysis/4.03%3A_Cylindrical_CoordinatesThe cylindrical system is defined with respect to the Cartesian system. In lieu of x and y , the cylindrical system uses ρ , the distance measured from the closest point on the z axis,1 and ϕ ,...The cylindrical system is defined with respect to the Cartesian system. In lieu of x and y , the cylindrical system uses ρ , the distance measured from the closest point on the z axis,1 and ϕ , the angle measured in a plane of constant z , beginning at the +x axis ( ϕ=0 ) with ϕ increasing toward the +y direction.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_I_(Ellingson)/04%3A_Vector_Analysis/4.04%3A_Spherical_CoordinatesThe spherical system uses r , the distance measured from the origin;1 θ , the angle measured from the +z axis toward the z=0 plane; and ϕ , the angle measured in a plane of constant z , identi...The spherical system uses r , the distance measured from the origin;1 θ , the angle measured from the +z axis toward the z=0 plane; and ϕ , the angle measured in a plane of constant z , identical to ϕ in the cylindrical system.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_I_(Ellingson)/04%3A_Vector_Analysis/4.02%3A_Cartesian_CoordinatesConcepts described in that section – i.e., the dot product and cross product – are described in terms of the Cartesian system. In this section, we identify some additional features of this system that...Concepts described in that section – i.e., the dot product and cross product – are described in terms of the Cartesian system. In this section, we identify some additional features of this system that are useful in subsequent work and also set the stage for alternative systems; namely the cylindrical and spherical coordinate systems.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/04%3A_Vector_Analysis/4.04%3A_Spherical_CoordinatesThe spherical system uses r , the distance measured from the origin;1 θ , the angle measured from the +z axis toward the z=0 plane; and ϕ , the angle measured in a plane of constant z , identi...The spherical system uses r , the distance measured from the origin;1 θ , the angle measured from the +z axis toward the z=0 plane; and ϕ , the angle measured in a plane of constant z , identical to ϕ in the cylindrical system.
