## Classical Electrodynamics |

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Page 377

This correspondence will sometimes be

the subscript on the 4-vector will be omitted, e.g. f(x) means f(x, t). 4. Scalar

products of 4-vectors will be denoted by (A → B) = A • B — Ao Bo (11.96) where A

• B ...

This correspondence will sometimes be

**written**An = (A, i.Ao) (11.95) Sometimesthe subscript on the 4-vector will be omitted, e.g. f(x) means f(x, t). 4. Scalar

products of 4-vectors will be denoted by (A → B) = A • B — Ao Bo (11.96) where A

• B ...

Page 384

The Lorentz force equation can be

representing the rate of change of mechanical momentum of the sources per unit

volume): f = 2E ++ x B (11.126) C where J and p are the current and charge

densities.

The Lorentz force equation can be

**written**as a force per unit volume (representing the rate of change of mechanical momentum of the sources per unit

volume): f = 2E ++ x B (11.126) C where J and p are the current and charge

densities.

Page 385

J. 4m " or, The right-hand side of (11.131) can be

tensor of the second rank. We define the symmetric tensor T., called the

electromagnetic stress-energy-momentum tensor, 1 Tw - #sor. + P.P.F. - (11.132)

Tr ...

J. 4m " or, The right-hand side of (11.131) can be

**written**as the divergence of atensor of the second rank. We define the symmetric tensor T., called the

electromagnetic stress-energy-momentum tensor, 1 Tw - #sor. + P.P.F. - (11.132)

Tr ...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

BoundaryValue Problems in Electrostatics II | 54 |

Copyright | |

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acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge 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 shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written