## Classical Electrodynamics |

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Page 18

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

it being the potential of a unit point charge,

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

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

it being the potential of a unit point charge,

**satisfying**the equation: Vo2 s 1 ) |x —x"| = —4trö(x — x') (1.31) The function 1/|x – x' is only one of a class of functions ...

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 |

Greens theorem | 14 |

BoundaryValue Problems in Electrostatics I | 26 |

Copyright | |

9 other sections not shown

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acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge charged particle classical collisions compared component conducting Consequently consider constant coordinates cross section cylinder defined density dependence derivative determine dielectric dimensions dipole direction discussed distance distribution effects electric field electromagnetic electron electrostatic energy equal equation example expansion expression factor force frame frequency function given gives incident inside integral involved limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative relativistic result satisfy scalar scattering shown in Fig shows side solution sphere spherical surface transformation unit vanishes vector velocity volume wave written