## Classical electrodynamics |

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Page 9

If the path is closed, the line integral is zero, f -<fl = 0 (1.21) a result that can also

be obtained directly from Coulomb's law. Then application of Stokes's theorem [if

A(x) is a vector field, S is an open

...

If the path is closed, the line integral is zero, f -<fl = 0 (1.21) a result that can also

be obtained directly from Coulomb's law. Then application of Stokes's theorem [if

A(x) is a vector field, S is an open

**surface**, and C is the closed curve bounding S,...

Page 10

The tangential component of electric field can be shown to be continuous across

a boundary

It is only necessary to take a rectangular path with negligible ends and one side ...

The tangential component of electric field can be shown to be continuous across

a boundary

**surface**by using (1.21) for the line integral of E around a closed path.It is only necessary to take a rectangular path with negligible ends and one side ...

Page 38

The only exception occurs when O vanishes on some

vanishes on the inverted

extent of an additive constant, we could make any

...

The only exception occurs when O vanishes on some

**surface**. Then O' alsovanishes on the inverted

**surface**. One might think that, since <t> is arbitrary to theextent of an additive constant, we could make any

**surface**in the original problem...

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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 Babinet's principle behavior 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 frequency given Green's function impact parameter incident particle inside integral 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 screen shown in Fig shows solid angle solution spectrum spherical surface theorem transverse unit vanishes vector potential wave equation wave number wavelength written zero