## Classical theory of electricity and magnetism: a course of lectures |

### From inside the book

Results 1-3 of 55

Page 5

Equation (2) allows us to

(5) where 0 is called the electrostatic potential. In fact a potential function exists

because of the central nature of the field irrespective of the inverse square form.

Equation (2) allows us to

**write**the electric intensity as a gradient E = -V0,0=j-+0o(5) where 0 is called the electrostatic potential. In fact a potential function exists

because of the central nature of the field irrespective of the inverse square form.

Page 38

or, V2 (0,-02) = O

integration our shaded domain, we use Green's theorem to

Vy ds +(£s ¥V¥ds + = jV (VW)dv = l*¥V2yi'dv + j(V*¥)2d\) (17) The first integral on

...

or, V2 (0,-02) = O

**Write**0,-02h¥ (15) then V2¥ = 0 (16) Taking the region ofintegration our shaded domain, we use Green's theorem to

**write**j> yVTds +<f>s ¥Vy ds +(£s ¥V¥ds + = jV (VW)dv = l*¥V2yi'dv + j(V*¥)2d\) (17) The first integral on

...

Page 56

Green's function method Considering the equation V20 = -4n5(r') (1) one usually

writes the solution as However, in

potential vanishes at infinity and there is no other restricting boundary condition.

Green's function method Considering the equation V20 = -4n5(r') (1) one usually

writes the solution as However, in

**writing**(2), it is implicitly assumed that thepotential vanishes at infinity and there is no other restricting boundary condition.

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

The empirical basis of electrostatics | 1 |

Direct calculation of fields | 7 |

dipoles9 The Dirac 5function13 | 13 |

Copyright | |

23 other sections not shown

### Other editions - View all

### Common terms and phrases

acceleration angle angular axis boundary conditions calculate called centre charge density charge distribution charged particle coefficient coil components conducting conductor consider coordinates dielectric constant differential dipole direction distance divergence electric and magnetic electric field electromagnetic field electromotive force electron electrostatic energy flux equation 16 expression field due field point finite fluid formula Fourier frame frequency function given gives Hence incident infinite interaction isotropic Laplace's equation linear Lorentz transformation magnetic field magnitude Maxwell's equations medium molecule momentum motion number density obtain orthogonal oscillations permanent magnets perpendicular photon plane plasma point charge polarization potential due Poynting vector radiation field radiation reaction radius refractive index region relation result satisfied scalar shows sin2 solution special theory sphere at infinity spherical surface integral symmetry tensor term theorem theory of relativity transverse uniform vanishes vector potential velocity volume wave length write zero