## Classical Electrodynamics |

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Page 16

This is called a Dirichlet problem, or Dirichlet

plausible that specification of the electric ... Specification of the normal derivative

is known as the Neumann

This is called a Dirichlet problem, or Dirichlet

**boundary conditions**. Similarly it isplausible that specification of the electric ... Specification of the normal derivative

is known as the Neumann

**boundary condition**. We now proceed to prove these ...Page 19

The freedom available in the definition of G (1.40) means that we can make the

surface integral depend only on the chosen type of

for Dirichlet

the ...

The freedom available in the definition of G (1.40) means that we can make the

surface integral depend only on the chosen type of

**boundary conditions**. Thus,for Dirichlet

**boundary conditions**we demand: Go(x,x) = 0 for x' on S (1.43) Thenthe ...

Page 90

3.11 solutions of Laplace's or Poisson's equation (Section 1.9) it was pointed out,

however, that mixed

part of the boundary and its normal derivative is specified over the remainder, ...

3.11 solutions of Laplace's or Poisson's equation (Section 1.9) it was pointed out,

however, that mixed

**boundary conditions**, where the potential is specified overpart of the boundary and its normal derivative is specified over the remainder, ...

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

References and suggested reading | 50 |

Copyright | |

16 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 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 light 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 relativistic result satisfy scalar scattering shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written