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

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Page 20

Equations of Laplace and Poisson There is an important theorem in vector

calculus, also known after Gauss. It states that the volume integral of the

surface of the ...

Equations of Laplace and Poisson There is an important theorem in vector

calculus, also known after Gauss. It states that the volume integral of the

**divergence**of a vector is equal to the flux of the vector through the boundingsurface of the ...

Page 85

... being a

where j vanishes (we are considering a current distribution within a bounded

region). The second part vanishes because of the stationary assumption (

equation 5).

... being a

**divergence**can be converted to a surface integral over a surfacewhere j vanishes (we are considering a current distribution within a bounded

region). The second part vanishes because of the stationary assumption (

equation 5).

Page 114

... current density j is solely due to a mass motion of the charges with velocity u (

i.e. we consider a convection current). Then j = pu and taking the

equation (4*) we get V.(pu) = 0 (5) However the conservation of charges requires

...

... current density j is solely due to a mass motion of the charges with velocity u (

i.e. we consider a convection current). Then j = pu and taking the

**divergence**ofequation (4*) we get V.(pu) = 0 (5) However the conservation of charges requires

...

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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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