## Classical Electrodynamics |

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Page 18

... which

|x H + F(x,x) (1.40) — x"| with the function F

the volume V: V*F(x, x') = 0 (1.41) In facing the problem of

... which

**satisfy**(1.31). In general, V*G(x, x') = —4trö(x – x') (1.39) where G(x, x') =|x H + F(x,x) (1.40) — x"| with the function F

**satisfying**Laplace's equation insidethe volume V: V*F(x, x') = 0 (1.41) In facing the problem of

**satisfying**the ...Page 181

To see that potentials can always be found to

suppose that the potentials A, D which

6.36). Then let us make a gauge transformation to potentials A', 'b' and demand

that A', ...

To see that potentials can always be found to

**satisfy**the Lorentz condition,suppose that the potentials A, D which

**satisfy**(6.32) and (6.33) do not**satisfy**(6.36). Then let us make a gauge transformation to potentials A', 'b' and demand

that A', ...

Page 183

Then b = 0, and A

given by E ... Since the time is involved, the Green's function will depend on the

variables (x, x', t, t'), and will

— x') ...

Then b = 0, and A

**satisfies**the homogeneous wave equation. The fields aregiven by E ... Since the time is involved, the Green's function will depend on the

variables (x, x', t, t'), and will

**satisfy**the equation, 2 (v. –4 #)06. t; x', t') = —4tt ö(x— x') ...

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### Contents

Introduction to Electrostatics | 1 |

Nº 3 | 3 |

Greens theorem | 14 |

Copyright | |

30 other sections not shown

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