## Classical Electrodynamics |

### From inside the book

Results 1-3 of 80

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') ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Introduction to Electrostatics | 1 |

Nº 3 | 3 |

Greens theorem | 14 |

Copyright | |

30 other sections not shown

### Other editions - View all

### Common terms and phrases

acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge classical collisions compared component conducting conductor Consequently consider constant coordinates cross section cylinder defined density depends 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 result satisfy scalar scattering shows side simple solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written