## Classical Electrodynamics |

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Page 96

2 , using the appropriate Green ' s function

answer

) J m ( kp ' ) dk р ( 6 )

2 , using the appropriate Green ' s function

**obtained**in the text , and verify that theanswer

**obtained**in this way agrees with ... 12 ( a ) Verify that - ( pap ) = 1 kJm ( kp) J m ( kp ' ) dk р ( 6 )

**Obtain**the following expansion : | dk eim ( $ — $ ' ) Jm ...Page 403

it is a straightforward , although tedious , matter to

6 + m ; * + m ; ' + mo ? – map ) lp cos 0 , [ ( mqEx + m + mi ? — mi ? – mi ? ) ' – mą

? m , – pom , * sino 0 , 7 " ) ( E . + m2 ) – p2 cos ? 0g ( 12 . 53 ) Eg = Only the ...

it is a straightforward , although tedious , matter to

**obtain**the result : ( E + mahlm .6 + m ; * + m ; ' + mo ? – map ) lp cos 0 , [ ( mqEx + m + mi ? — mi ? – mi ? ) ' – mą

? m , – pom , * sino 0 , 7 " ) ( E . + m2 ) – p2 cos ? 0g ( 12 . 53 ) Eg = Only the ...

Page 498

John David Jackson, Patrick Thaddeus Jackson. For a uniform motion in a

straight line , r ( t ) = vt . Then we

127 ) TT J - 00 192 c3 The integral is a Dirac delta function . Then dI ( 6 ) ePap2

sin ?

John David Jackson, Patrick Thaddeus Jackson. For a uniform motion in a

straight line , r ( t ) = vt . Then we

**obtain**010 ) - PR In x vp a Socia ( - * * ) del ( 14 .127 ) TT J - 00 192 c3 The integral is a Dirac delta function . Then dI ( 6 ) ePap2

sin ?

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### Contents

Introduction to Electrostatics | 1 |

References and suggested reading | 50 |

Multipoles Electrostatics of Macroscopic Media | 98 |

Copyright | |

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### Common terms and phrases

acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge charged particle classical coefficients 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