## Classical Electrodynamics |

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Another type of field variation which causes a drifting of the particle's guiding

center is curvature of the lines of force. Consider the twodimensional field shown

in Fig. 12.7. It is locally independent of z. On the left-hand

Another type of field variation which causes a drifting of the particle's guiding

center is curvature of the lines of force. Consider the twodimensional field shown

in Fig. 12.7. It is locally independent of z. On the left-hand

**side**of the figure is a ...Page

To determine the equation satisfied by the electric multipole function f,(r) inside

the source, we substitute (16.82) into the first equation of (16.80), take the scalar

product of both

...

To determine the equation satisfied by the electric multipole function f,(r) inside

the source, we substitute (16.82) into the first equation of (16.80), take the scalar

product of both

**sides**with a typical Xi, and integrate over all angles. All the terms...

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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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