## Classical Electrodynamics |

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Page 20

Since the Green ' s function , as a function of one of its variables , is a

due to a unit point charge , this symmetry merely represents the physical

interchangeability of the source and the observation points . From form ( 1 . 40 )

for G ( x , x ...

Since the Green ' s function , as a function of one of its variables , is a

**potential**due to a unit point charge , this symmetry merely represents the physical

interchangeability of the source and the observation points . From form ( 1 . 40 )

for G ( x , x ...

Page 94

The segments are kept at fixed

representation for the

segments , and carry the calculation of the coefficients in the series far enough to

...

The segments are kept at fixed

**potentials**+ V , alternately . ( a ) Set up a seriesrepresentation for the

**potential**inside the sphere for the general case of 2nsegments , and carry the calculation of the coefficients in the series far enough to

...

Page 95

5 A hollow sphere of inner radius a has the

Q = V ( 0° ) . Prove the equivalence of the two forms of solution for the

inside the sphere : a la – P . V ( O ' , 6 ' ) . ( a ) Q ( x ) = 471 ( r2 + a2 – 2ar cos y ) ...

5 A hollow sphere of inner radius a has the

**potential**specified on its surface to beQ = V ( 0° ) . Prove the equivalence of the two forms of solution for the

**potential**inside the sphere : a la – P . V ( O ' , 6 ' ) . ( a ) Q ( x ) = 471 ( r2 + a2 – 2ar cos y ) ...

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### Contents

Introduction to Electrostatics | 1 |

References and suggested reading | 50 |

Multipoles Electrostatics of Macroscopic Media | 98 |

Copyright | |

10 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 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