## Classical Electrodynamics |

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Page 63

If the point x is on the z

hand side becomes: H = 1 –– |x – x' T (r” + r" – 2rr' cos y)” |r — r" (3.43) Expanding

(3.43), we find 1 1 oo (#) - - - 3.44 R+:1-#2. (3.44) For points off the

If the point x is on the z

**axis**, the right-hand side reduces to (3.38), while the left-hand side becomes: H = 1 –– |x – x' T (r” + r" – 2rr' cos y)” |r — r" (3.43) Expanding

(3.43), we find 1 1 oo (#) - - - 3.44 R+:1-#2. (3.44) For points off the

**axis**it is only ...Page 165

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

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

Show ...

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

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

**axis**, but has a small radial component **) \ 2 c B, ~ L4 5.3 \/5.4 5.5 5.6 5.7 (c)Show ...

Page 166

c c \ a A cylindrical conductor of radius a has a hole of radius b bored parallel to,

and centered a distance d from, the cylinder

uniform throughout the remaining metal of the cylinder and is parallel to the

c c \ a A cylindrical conductor of radius a has a hole of radius b bored parallel to,

and centered a distance d from, the cylinder

**axis**(d+ b - a). The current density isuniform throughout the remaining metal of the cylinder and is parallel to the

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### Contents

Introduction to Electrostatics | 1 |

BoundaryValue Problems in Electrostatics I | 26 |

BoundaryValue Problems in Electrostatics II | 54 |

Copyright | |

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### Common terms and phrases

acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge classical collisions compared component conducting Consequently consider constant coordinates cross section cylinder defined density dependence derivative determine dielectric dimensions dipole direction discussed distance distribution effects electric field electromagnetic electron electrostatic energy equal equation example expansion expression factor force frame frequency function given gives incident inside integral involved light limit Lorentz loss magnetic magnetic field magnetic induction magnitude mass means momentum motion moving multipole normal observation obtain origin parallel particle physical plane plasma polarization position potential problem properties radiation radius region relation relative relativistic result satisfy scalar scattering shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written