## Classical electrodynamics |

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Page 63

John David Jackson. If the point x is on the z

3.38), while the left-hand side becomes : 1 1 1 |x - x'| (r2 + r'2 - 2rr' cos y)*

Expanding (3.43), we find. J. -Lffcsf. — x'l r> ~L \r>/ r - r' Ix-x'l (3.43) (3.44) 1 = 0

For ...

John David Jackson. If the point x is on the z

**axis**, the right-hand side reduces to (3.38), while the left-hand side becomes : 1 1 1 |x - x'| (r2 + r'2 - 2rr' cos y)*

Expanding (3.43), we find. J. -Lffcsf. — x'l r> ~L \r>/ r - r' Ix-x'l (3.43) (3.44) 1 = 0

For ...

Page 165

(b) For a long solenoid of length L and radius a show that near the

the center of the solenoid the magnetic induction is mainly parallel to the

has a small radial component ^ correct to order a2//.2, and for z <^ L, p < a.

(b) For a long solenoid of length L and radius a show that near the

**axis**and nearthe center of the solenoid the magnetic induction is mainly parallel to the

**axis**, buthas a small radial component ^ correct to order a2//.2, and for z <^ L, p < a.

Page 166

(c) Show that at the end of a long solenoid the magnetic induction near the

has components B, =* -^— , B, ca - C 4 5.3 A cylindrical conductor of radius a has

a hole of radius b bored parallel to, and centered a distance d from, the cylinder ...

(c) Show that at the end of a long solenoid the magnetic induction near the

**axis**has components B, =* -^— , B, ca - C 4 5.3 A cylindrical conductor of radius a has

a hole of radius b bored parallel to, and centered a distance d from, the cylinder ...

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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