## Classical Electrodynamics |

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On the left-hand

parallel to the z axis. ... We wish to treat that motion as a zero-order

approximation to the motion of the particle in the field shown on the righthand

On the left-hand

**side**of the figure is a constant, uniform magnetic induction Bo,parallel to the z axis. ... We wish to treat that motion as a zero-order

approximation to the motion of the particle in the field shown on the righthand

**side**of the figure, ...Page

All the terms on the left-hand

because of orthogonality, and only one term involving an fin (r) survives: 2 |#. + 3

+ + k2 – 10 + "|-0 - dr” r dr r? _47 X. . [V x J + cV x (V x .so)] d() (16.84) By

substituting the ...

All the terms on the left-hand

**side**of the equation involving gia,(r) vanishbecause of orthogonality, and only one term involving an fin (r) survives: 2 |#. + 3

+ + k2 – 10 + "|-0 - dr” r dr r? _47 X. . [V x J + cV x (V x .so)] d() (16.84) By

substituting the ...

Page

We let |x"|→ 00 on both

the left-hand

= r^ and r- = r. Furthermore we can use the asymptotic form (16.13) for h;”(kr').

We let |x"|→ 00 on both

**sides**of (16.22). Then we can put |x — x"| cr' — n - x onthe left-hand

**side**, where n is a unit vector in the direction of x'. On the right**side**r= r^ and r- = r. Furthermore we can use the asymptotic form (16.13) for h;”(kr').

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### Contents

Introduction to Electrostatics | 1 |

Nš 3 | 3 |

Greens theorem | 14 |

Copyright | |

30 other sections not shown

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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 conductor Consequently consider constant coordinates cross section cylinder defined density depends 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 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 result satisfy scalar scattering shows side simple solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written