Spherical and Cartesian coordinates

Contents

Caution: Different authors use different conventions for the symbols theta and phi. They are frequently reversed. The convention used here is from Griffiths

spherical

3903d9d7fac759eae656c85128185664.png Eqn:B.1
0fa719b34dccf13159af5b49afc7c8d1.png Eqn:B.2
37f6ef9512cdddb7c456be53eb0315bc.png Eqn:B.3

Spherical and Cartesian coordinate conversions

Some identities. (Griffiths pp. 38, and back cover) Conversion between spherical and Cartesian coordinates

5755bb66bb3fdf8be31d20b06eb1a32b.png Eqn:B.4
0db51f01e0e71983852b7c2932b4775b.png Eqn:B.5
5b44a1905acbdd701d2ee938834f51c7.png Eqn:B.6
27688ec92494d087b7fd2bea9626344d.png Eqn:B.7
60d921d39d72798d00f891a0ce65cfb7.png Eqn:B.8
6ce42563ea3715e8f17458c70b5634b8.png Eqn:B.9

Gradient and Curl in Spherical coordinates

Some identities. (Griffiths pp. 42,447) Gradient and Curl in spherical coordinates:

442aec5f47314a47dea57ca3d1f95dde.png Eqn:B.10
5934e230e42a6b81a19ccce8d51bc439.png Eqn:B.11

See Also

References

External Links