## Classical Electrodynamics |

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Page 412

The motion described by (12.93) is a circular motion perpendicular to B and a

uniform translation

v(t) = uses + oria(e) – ie.)e^* (12.95) where ea is a unit vector

...

The motion described by (12.93) is a circular motion perpendicular to B and a

uniform translation

**parallel**to B. The solution for the velocity is easily shown to bev(t) = uses + oria(e) – ie.)e^* (12.95) where ea is a unit vector

**parallel**to the field,...

Page 427

E is

necessary Lorentz transformation described in Section 12.8 to obtain explicitly

parametric equations for the particle's trajectory. (b) Repeat the calculation of (a)

for |E| ...

E is

**parallel**to the z axis; B is**parallel**to the y axis. (a) For |E| < |B] make thenecessary Lorentz transformation described in Section 12.8 to obtain explicitly

parametric equations for the particle's trajectory. (b) Repeat the calculation of (a)

for |E| ...

Page 476

comparable

component is negligible (of order 1/y”) compared to that from the perpendicular

component.

**parallel**to and perpendicular to the velocity. But we have just seen that forcomparable

**parallel**and perpendicular forces the radiation from the**parallel**component is negligible (of order 1/y”) compared to that from the perpendicular

component.

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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 limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means modes 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