## Classical Electrodynamics |

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Page 18

In obtaining result (1.36)—not a solution—we chose the function op to be 1/|x – x',

it being the potential of a unit point charge,

| - r) = —4trö(x — x') (1.31) The function 1/|x — x' is only one of a class of ...

In obtaining result (1.36)—not a solution—we chose the function op to be 1/|x – x',

it being the potential of a unit point charge,

**satisfying**the equation: r 1 - - — w' V2| - r) = —4trö(x — x') (1.31) The function 1/|x — x' is only one of a class of ...

Page 181

Then let us make a gauge transformation to potentials A", p" and demand that A', '

D'

C Ot co 9to Thus, provided a gauge function A can be found to

Then let us make a gauge transformation to potentials A", p" and demand that A', '

D'

**satisfy**the Lorentz condition: f 2 v.A. 11% – o – v. A + 1* + vow – ko (639) C OtC Ot co 9to Thus, provided a gauge function A can be found to

**satisfy**1 32A 1 ...Page 183

Then p = 0, and A

given by E - – 12* ... Since the time is involved, the Green's function will depend

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

6(x ...

Then p = 0, and A

**satisfies**the homogeneous wave equation. The fields aregiven by E - – 12* ... 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. - #) G(x, t: x', t') = —4t6(x ...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

References and suggested reading | 50 |

Copyright | |

16 other sections not shown

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