## Classical electrodynamics |

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Page 61

(3.33) on the surface of the sphere: V(B) = 2 AjPfcos 6) (3.34) 1=0 This is just a

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

>,(cos 0) sin 6 d6 (3.35) 2a Jo If, for example, K(0) is that of Section 2.8, with two ...

(3.33) on the surface of the sphere: V(B) = 2 AjPfcos 6) (3.34) 1=0 This is just a

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

**coefficients**A< are: AI = 2l+l I V(0)/>,(cos 0) sin 6 d6 (3.35) 2a Jo If, for example, K(0) is that of Section 2.8, with two ...

Page 372

1,2, 3,4 (11.70) where the

particular transformation. The invariance of Rz (11.69) forces the transformation

show that ...

1,2, 3,4 (11.70) where the

**coefficients**a^, are constants characteristic of theparticular transformation. The invariance of Rz (11.69) forces the transformation

**coefficients**a^, to satisfy the orthogonality condition: With (11.71) it is easy toshow that ...

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**Aim 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 | |

17 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic average 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 photon 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