## Principles of Electricity and Electromagnetism |

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Page 62

derivatives of U with respect to the coordinates or the components of the vector —

behind the symbol for the partial derivatives since it does not depend on the ...

derivatives of U with respect to the coordinates or the components of the vector —

**grad**U. Therefore F =**grad**(p • E) = (p •**grad**) E* (2.16) where p is removed frombehind the symbol for the partial derivatives since it does not depend on the ...

Page 294

Since H = B/^o = (1/mo) curl A and (Appendix D) curl curl A =

V2A —

the case of a spatial distribution of currents i dl would be written i, dv and Eq.

Since H = B/^o = (1/mo) curl A and (Appendix D) curl curl A =

**grad**div A — V2A,V2A —

**grad**div A = — moU It may be shown that the divergence of A vanishes. Inthe case of a spatial distribution of currents i dl would be written i, dv and Eq.

Page 599

Cylindrical Coordinates Orthogonal Line Elements dr, r d<t>, dz, Components of

the Gradient , du

Line Elements dr, r d8, r sin 6 d«p Components of the Gradient . du g r U = dr .

Cylindrical Coordinates Orthogonal Line Elements dr, r d<t>, dz, Components of

the Gradient , du

**grad**, u = - gradv u 1 du r dip Spherical Coordinates OrthogonalLine Elements dr, r d8, r sin 6 d«p Components of the Gradient . du g r U = dr .

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