## Introduction to electrodynamicsFeatures a clear, accessible treatment of the fundamentals of electromagnetic theory. Its lean and focused approach employs numerous examples and problems. Carefully discusses subtle or difficult points. Contains numerous, relevant problems within the book in addition to end of each chapter problems and answers. |

### From inside the book

Results 1-3 of 36

Page 37

We could as well

clockwise.) Since x = 0 for this surface, (V X v)-da Jo Jo 4z2 dy dz = $ Now, what

about the line integral? We must break this up into four segments: (i) x = 0,y:0-> 1;

...

We could as well

**write**da = — dy dz i, but then we would be obliged to goclockwise.) Since x = 0 for this surface, (V X v)-da Jo Jo 4z2 dy dz = $ Now, what

about the line integral? We must break this up into four segments: (i) x = 0,y:0-> 1;

...

Page 241

[This is tough, so I'll give you a start: 1 B, S-kR3 BdT

Problem 1.61(b). Now put in (5.57), and do the surface integral first, showing that

1 4 — da. = — xr *. 3 (see Fig. 5.58).] (b) Show that the average magnetic field ...

[This is tough, so I'll give you a start: 1 B, S-kR3 BdT

**Write**B as (V X A), and applyProblem 1.61(b). Now put in (5.57), and do the surface integral first, showing that

1 4 — da. = — xr *. 3 (see Fig. 5.58).] (b) Show that the average magnetic field ...

Page 316

be equal (7.63), and hence V Xa = 0 We can therefore

some scalar: a = VX The two potentials also give the same E, so (7.64) requires ...

**Write**A' = A + a and V = V + /3 Since the two A's give the same B, their curls mustbe equal (7.63), and hence V Xa = 0 We can therefore

**write**a as the gradient ofsome scalar: a = VX The two potentials also give the same E, so (7.64) requires ...

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User Review - astropi - LibraryThingThis is one of my all-time favorite science books! Does a BRILLIANT job of presenting the physics, and reviews the basic math (divergence, Stoke's Theorem, etc). This book is a MUST for anyone in ... Read full review

### Contents

Vector Analysis | 6 |

Electrostatics | 61 |

Surface Charge | 103 |

Copyright | |

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### Common terms and phrases

Ampere's law angle answer assume atom axis Biot-Savart law bound charge boundary conditions calculate capacitor charge density charge distribution charge q clock components conductor configuration conservation constant coordinates Coulomb Coulomb's law curl current density cylinder derivative direction distance divergence theorem electric and magnetic electric field electrodynamics electromagnetic electron electrostatics energy Example field inside Figure Find the electric Find the potential flux formula free charge frequency function Gauss's law gradient infinite infinitesimal Laplace's equation linear dielectric Lorentz force law Lorentz transformation magnetic dipole magnetic field magnetic force magnetostatics Maxwell's equations momentum motion moving origin particle perpendicular plane point charge polarization Poynting vector Problem radiation region relativistic relativity scalar Section shown in Fig solenoid Solution sphere of radius spherical steady current Suppose surface charge tion total charge V X B V X E vector potential velocity volume wave zero