## Classical Electrodynamics |

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Page 18

10 Formal Solution of Electrostatic Boundary - Value Problem with Green ' s

volume V with either Dirichlet or Neumann boundary conditions on the bounding

surface ...

10 Formal Solution of Electrostatic Boundary - Value Problem with Green ' s

**Function**112 / 1 The solution of Poisson ' s or Laplace ' s equation in a finitevolume V with either Dirichlet or Neumann boundary conditions on the bounding

surface ...

Page 78

Then it is convenient to express the Green ' s

the

type of expansion involved by considering spherical coordinates . For the case of

no ...

Then it is convenient to express the Green ' s

**function**as a series of products ofthe

**functions**appropriate to the coordinates in question . We first illustrate thetype of expansion involved by considering spherical coordinates . For the case of

no ...

Page 183

Then Q = 0 , and A satisfies the homogeneous wave equation . The fields are

given by ( 6 . 53 ) ( 6 . 53 ) B = V x A ) 6 . 6 Green ' s

Dependent Wave Equation The wave equations ( 6 . 37 ) , ( 6 . 38 ) , and ( 6 . 52 )

all have ...

Then Q = 0 , and A satisfies the homogeneous wave equation . The fields are

given by ( 6 . 53 ) ( 6 . 53 ) B = V x A ) 6 . 6 Green ' s

**Function**for the Time -Dependent Wave Equation The wave equations ( 6 . 37 ) , ( 6 . 38 ) , and ( 6 . 52 )

all have ...

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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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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