Introduction to Electrodynamics, 4th Edition
David J Griffiths
Language: English
Pages: 628
ISBN: 8120347765
Format: PDF / Kindle (mobi) / ePub
This book is known for its clear, concise, and accessible coverage of standard topics in a logical and pedagogically sound order. The highly polished fourth edition features a clear, accessible treatment of the fundamentals of electromagnetic theory, providing a sound platform for the exploration of related applications (ac circuits, antennas, transmission lines, plasmas, optics, etc. ). Its lean and focused approach employs numerous new examples and problems.
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the divergence theorem for this function, using the quarter-cylinder (radius 2, height 5) shown in Fig. 1.43. (c) Find the curl of v. 1.5 The Dirac Delta Function 1.5.1 The Divergence of r/ r 2 Consider the vector function I A (1.83) v= "2r. r At every location, v is directed radially outward (Fig. 1.44); if ever there was a function that ought to have a large positive divergence, this is it. And yet, when you actually calculate the divergence (using Eq. 1.71), you get precisely zero:
the integrals easier! I have inserted a section in Chapter I explaining this notation, and I hope that will help. If you are a student, please take note: 4 == r - r', which is not the same as r. If you're a teacher, please warn your students to pay close attention to the meaning of 4. I think it's good notation, but it does have to be handled with care. The main structural change is that I have removed the conservation laws and potentials from Chapter 7, creating two new short chapters (8 and
the sphere is 1 F=-- q' q 47TEO (a - b)2 1 q 2 Ra - 47TEO (a2 - R2)2 . (3.18) This solution is delightfully simple, but extraordinarily lucky. There's as much art as science in the method of images, for you must somehow think up the right "auxiliary problem" to look at. The first person who solved the problem this way cannot have known in advance what image charge q' to use or where to put it. Presumably, he (she?) started with an arbitrary charge at an arbitrary point inside the sphere,
the induced charge on each plate. [Answer: Ql = q(x/d - I); Q2 = -qx/d] (b) Two concentric spherical conducting shells (radii a and b) are grounded, and a point charge q is placed between them (at radius r). Find the induced charge on each sphere. Problem 3.45 (a) Show that the quadrupole term in the multipole expansion can be written where Here 8ij = 1 if i = j 1o if i =1= j is the Kronecker delta, and Qij is the quadrupole moment of the charge distribution. Notice the hierarchy: Vdip =
Approximate Potentials at Large Distances 3.4.2 The Monopole and Dipole Terms . . . . . 3.4.3 Origin of Coordinates in Multipole Expansions 3.4.4 The Electric Field of a Dipole . Polarization..... 4.1.1 Dielectrics . 4.1.2 Induced Dipoles 4.1.3 Alignment of Polar Molecules 4.1.4 Polarization . The Field of a Polarized Object . . . . 4.2.1 Bound Charges . . . . . . . . 4.2.2 Physical Interpretation of Bound Charges 4.2.3 The Field Inside a Dielectric . . . . . . . The Electric Displacement . . .
