## Classical ElectrodynamicsProblems after each chapter |

### From inside the book

Results 1-3 of 83

Page 18

In obtaining result ( 1.36 ) —not a solution — we chose the function y to be 1 / 6X

– X ' ] , it being the potential of a unit point charge ,

4770 ( x – x ' ) ( 1.31 ) | x - x ' \ / The function 1 / 6X – X ' | is only one of a class ...

In obtaining result ( 1.36 ) —not a solution — we chose the function y to be 1 / 6X

– X ' ] , it being the potential of a unit point charge ,

**satisfying**the equation : 1 V 2 -4770 ( x – x ' ) ( 1.31 ) | x - x ' \ / The function 1 / 6X – X ' | is only one of a class ...

Page 181

To see that potentials can always be found to

suppose that the potentials A , 0 which

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

demand ...

To see that potentials can always be found to

**satisfy**the Lorentz condition ,suppose that the potentials A , 0 which

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

demand ...

Page 183

Then Q = 0 , and A

is involved , the Green's function will depend on the variables ( x , x ' , t , t ' ) , and

will

...

Then Q = 0 , and A

**satisfies**the homogeneous wave equation . ... Since the timeis involved , the Green's function will depend on the variables ( x , x ' , t , t ' ) , and

will

**satisfy**the equation , 1 22 G ( x , t ; X ' , t ' ) = -471 8 ( x – x ' ) o ( t – t ' ) ( 6.55 )...

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### Contents

Introduction to Electrostatics | 1 |

References and suggested reading | 23 |

Multipoles Electrostatics of Macroscopic Media | 98 |

Copyright | |

6 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 light 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 space sphere spherical surface transformation unit vanishes vector velocity volume wave written