## Classical electrodynamics |

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Page 14

1.8 Green's

or continuous distributions of charge with no boundary surfaces, the general

solution (1.17) would be the most convenient and straightforward solution to any

...

1.8 Green's

**Theorem**If electrostatic problems always involved localized discreteor continuous distributions of charge with no boundary surfaces, the general

solution (1.17) would be the most convenient and straightforward solution to any

...

Page 25

1.9 Prove the mean value

electrostatic potential at any point is equal to the average of the potential over the

surface of any sphere centered on that point. 1.10 Use Gauss's

that ...

1.9 Prove the mean value

**theorem**: For charge-free space the value of theelectrostatic potential at any point is equal to the average of the potential over the

surface of any sphere centered on that point. 1.10 Use Gauss's

**theorem**to provethat ...

Page 197

As a final remark concerning the macroscopic field equations we discuss the

differences between the microscopic and macroscopic forms of Poynting's

macroscopic form ...

As a final remark concerning the macroscopic field equations we discuss the

differences between the microscopic and macroscopic forms of Poynting's

**theorem**. We derived the conservation of energy in Section 6.8 in themacroscopic form ...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

19 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic axis behavior Bessel functions boundary conditions bremsstrahlung calculate Chapter charge density charge q charged particle classical coefficients collisions component conductor Consequently consider coordinates cross section current density cylinder defined delta function dielectric constant diffraction dimensions dipole direction discussed effects electric field electromagnetic fields electron electrostatic emitted energy loss expansion expression factor force equation frequency given Green's function impact parameter incident particle inside integral inversion Laplace's equation limit linear Lorentz invariant Lorentz transformation macroscopic magnetic field magnetic induction magnitude Maxwell's equations meson molecules momentum multipole multipole expansion nonrelativistic obtain orbit oscillations parallel perpendicular plane wave plasma point charge polarization power radiated problem quantum quantum-mechanical radiative radius region relativistic result scalar scattering shown in Fig shows solid angle solution spectrum spherical surface theorem transverse vanishes vector potential wave equation wave number wavelength written zero