## Classical electrodynamics |

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Page 45

If the number of terms in the series is finite (say N), /(*)<-> 2 a.!/,/*) (2.36) n-l then

we can ask for the "best" choice of

representation of the function /(£). If "best" is defined as minimizing the mean

square ...

If the number of terms in the series is finite (say N), /(*)<-> 2 a.!/,/*) (2.36) n-l then

we can ask for the "best" choice of

**coefficients**an so that we get the "best"representation of the function /(£). If "best" is defined as minimizing the mean

square ...

Page 61

(3.33) on the surface of the sphere: F(0) = f AXF,(cos 6) (3.34) 1 = 0 This is just a

Legendre series of the form (3.23), so that the

cos 0) sin 0 d6 (3.35) 2a Jo If, for example, V(Q) is that of Section 2.8, with two ...

(3.33) on the surface of the sphere: F(0) = f AXF,(cos 6) (3.34) 1 = 0 This is just a

Legendre series of the form (3.23), so that the

**coefficients**A, are: Al = ^ K(0)P,(cos 0) sin 0 d6 (3.35) 2a Jo If, for example, V(Q) is that of Section 2.8, with two ...

Page 544

The

condition V • B = 0 must be satisfied. Since the radial functions are linearly

independent, the condition V • B = 0 must hold for the two sets of terms in (16.35)

separately ...

The

**coefficients**A,m in (16.35) are not completely arbitrary. The divergencecondition V • B = 0 must be satisfied. Since the radial functions are linearly

independent, the condition V • B = 0 must hold for the two sets of terms in (16.35)

separately ...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

18 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic axis behavior Bessel functions boundary conditions bremsstrahlung calculate Chapter charge density charge q charged particle classical coefficients collisions component conductor Consequently consider coordinates cross section current density cylinder defined delta function dielectric constant diffraction dimensions dipole direction discussed effects electric field electromagnetic fields electron electrostatic emitted energy loss expansion expression factor force equation frequency given Green's function impact parameter incident particle inside integral Laplace's equation limit linear Lorentz invariant Lorentz transformation macroscopic magnetic field magnetic induction magnitude Maxwell's equations meson molecules momentum multipole multipole expansion nonrelativistic obtain orbit oscillations parallel perpendicular plane wave plasma point charge polarization power radiated problem quantum quantum-mechanical radiative radius region relativistic result scalar scattering shown in Fig shows solid angle solution spectrum spherical surface theorem transverse vanishes vector potential wave equation wave number wavelength written zero