## Classical Electrodynamics |

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Page 13

Poisson's

scalar ...

**Equations**(1.13) and (1.16) can be combined into one partial differential**equation**for the single function p(x): V*q = —4mp (1.28) This**equation**is calledPoisson's

**equation**. In regions of space where there is no charge density, thescalar ...

Page 337

an independent

magnetic field, we suspect that there exist solutions of a purely electrostatic

nature, with B = 0.

an independent

**equation**, but may be derived by combining the last two**equations**in (10.91). Since the force**equation**in (10.91) is independent ofmagnetic field, we suspect that there exist solutions of a purely electrostatic

nature, with B = 0.

Page

Then we find the parallel velocity at any position along the z axis given by 2 B(2)

Bo

to the first integral of Newton's

Then we find the parallel velocity at any position along the z axis given by 2 B(2)

Bo

**Equation**(12.128) for the velocity of the particle in the z direction is equivalentto the first integral of Newton's

**equation**of motion for a particle in a ...### What people are saying - Write a review

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### Contents

Introduction to Electrostatics | 1 |

Nš 3 | 3 |

Greens theorem | 14 |

Copyright | |

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### Common terms and phrases

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