## Classical theory of electricity and magnetism: a course of lectures |

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Page 6

In any case as each term in the right of (6) represents a central field, it can be

expressed as the gradient of a

gradient: E = - V0,-V02 = -V ( 0,+02+ ) = -V0 The argument in case of (7) is similar

.

In any case as each term in the right of (6) represents a central field, it can be

expressed as the gradient of a

**scalar**. The sum of such gradients will also be agradient: E = - V0,-V02 = -V ( 0,+02+ ) = -V0 The argument in case of (7) is similar

.

Page 70

A

One can also get tensors of lower rank by a process called contraction — put two

indices identical and then add up over all values of this index e.g. AlBl+A2B2 + ...

A

**scalar**and a vector may be called respectively tensors of rank zero and one. 3.One can also get tensors of lower rank by a process called contraction — put two

indices identical and then add up over all values of this index e.g. AlBl+A2B2 + ...

Page 313

The procedure is to select a

variables and their first order spatial and time derivatives — more precisely in

field theories the function to be selected is the Lagrangian density £ and hence

the ...

The procedure is to select a

**scalar**Lagrangian £ involving usually the fieldvariables and their first order spatial and time derivatives — more precisely in

field theories the function to be selected is the Lagrangian density £ and hence

the ...

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### Contents

The empirical basis of electrostatics | 1 |

Direct calculation of fields | 7 |

dipoles9 The Dirac 5function13 | 13 |

Copyright | |

23 other sections not shown

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