## Classical electrodynamics |

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Page 12

1.7 The potential at P due to the dipole layer D on the area element da' is just the

negative product of D and the

x-x'|y \ at/>. For a constant surface-dipole-moment density D, the potential is just ...

1.7 The potential at P due to the dipole layer D on the area element da' is just the

negative product of D and the

**solid angle**element </U subtended by da' ?•*"*'"~ |x-x'|y \ at/>. For a constant surface-dipole-moment density D, the potential is just ...

Page 478

The general form of the power radiated per unit

where i (14.52) E being the electric field (14.14). In (14.51) the instantaneous

power is expressed in the observer's time (contrary to the definition in Section

14.3), ...

The general form of the power radiated per unit

**solid angle**is dP(t) 2 (14.51)where i (14.52) E being the electric field (14.14). In (14.51) the instantaneous

power is expressed in the observer's time (contrary to the definition in Section

14.3), ...

Page 501

Why? Make quantitative statements if you can. 14.5 As in Problem 14.2a a

charge e moves in simple harmonic motion along the z axis, z(t') = a cos («V')- (a)

Show that the instantaneous power radiated per unit

sin2 ...

Why? Make quantitative statements if you can. 14.5 As in Problem 14.2a a

charge e moves in simple harmonic motion along the z axis, z(t') = a cos («V')- (a)

Show that the instantaneous power radiated per unit

**solid angle**is: dP(t') _ e^cpsin2 ...

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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