## Classical electrodynamics |

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Page 276

John David Jackson. The general angular distribution is complicated. But the

total

definition of Q(n) we can write the angular dependence as |n x Q(n)|2 = Q* • Q - |n

• Q|2 The ...

John David Jackson. The general angular distribution is complicated. But the

total

**power radiated**can be calculated in a straightforward way. With thedefinition of Q(n) we can write the angular dependence as |n x Q(n)|2 = Q* • Q - |n

• Q|2 The ...

Page 306

Calculate the quadrupole moments, the radiation fields, the angular distribution

of radiation, and the total

9.3 Two halves of a spherical metallic shell of radius R and infinite conductivity ...

Calculate the quadrupole moments, the radiation fields, the angular distribution

of radiation, and the total

**radiated power**in the long-wavelength approximation.9.3 Two halves of a spherical metallic shell of radius R and infinite conductivity ...

Page 501

(a) Show that the instantaneous

cp sin2 0 cos2 (tup d£l 4na2 (1 + ft cos O sin w0/')6 where ft = aa>0/c. (b) By

performing a time averaging, show that the average power per unit solid angle is:

dP ...

(a) Show that the instantaneous

**power radiated**per unit solid angle is: dP(t') _ e*cp sin2 0 cos2 (tup d£l 4na2 (1 + ft cos O sin w0/')6 where ft = aa>0/c. (b) By

performing a time averaging, show that the average power per unit solid angle is:

dP ...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

19 other sections not shown

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### Common terms and phrases

4-vector acceleration angular distribution approximation assumed atomic axis Babinet's principle behavior 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 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 screen shown in Fig shows solid angle solution spectrum spherical surface theorem transverse unit vanishes vector potential wave equation wave number wavelength written zero