Cylindrical to Cartesian Transforming Vector Components cos sin 0 sin cos 0 0 0 1 Transforming Variables cos sin Cartesian to Cylindrical Transforming Vector Components cos sin 0 sin cos 0 0 0 1 Transforming Variables cos sin tan (beware of the quadrant! Don’t completely trust the calculator or computer!) Cartesian to Spherical Transforming Vector Components sin cos cos cos sin Transforming Variables cos sin sin cos sin cos cos sin 0 sin sin cos tan cos (beware of the quadrant! Don’t completely trust the calculator or computer!) Spherical to Cartesian Transforming Vector Components sin cos sin sin cos cos cos cos sin sin Transforming Variables sin cos sin sin cos Cylindrical to Spherical Transforming Vector Components sin cos 0 0 0 1 Transforming Variables sin cos √ √ cos sin 0 sin cos 0 cos √ (beware of the quadrant! Don’t completely trust the calculator or computer!) Spherical to Cylindrical Transforming Vector Components sin 0 cos cos 0 sin 0 1 0 Transforming Variables sin cos Integrals, etc. (C is an integration constant) √ ln | ∓ ± ∓ 2 ∓ | ∓ ∓ √ √ ∓ 2 ln | ∓ | ∓ ⁄ ∓ ⁄ ∓ ⁄ ∓ √ ∓ 1 √ ∓ √ ln ∓ 1 ∓ tan 1 ln 2 sin cos sin cos cos 1 cos sin sin 1 cos sin , cos , cos 1 1 1 1 2 cos 1 2 1 2 sin 1 8.85 10 F⁄m , μ 4 10 H⁄m
