Classical Electrodynamics |
From inside the book
Results 1-3 of 53
Page 19
Thus, for Dirichlet boundary conditions we demand : GD(\, x') = 0 for x' on S (1.43)
Then the first term in the surface integral in (1.42) vanishes and the solution is (D(
x) = f p(x')GD(x, x') dV - f (£ (D(x') ^ da' (1.44) Jv \TT Js on For Neumann ...
Thus, for Dirichlet boundary conditions we demand : GD(\, x') = 0 for x' on S (1.43)
Then the first term in the surface integral in (1.42) vanishes and the solution is (D(
x) = f p(x')GD(x, x') dV - f (£ (D(x') ^ da' (1.44) Jv \TT Js on For Neumann ...
Page 282
This means that the fields, and therefore y(x), will satisfy the radiation condition, C
-, r y (9-64) With this condition on y it can readily be seen that the integral in (9.63
) over the hemisphere S2 vanishes inversely as the hemisphere radius as that ...
This means that the fields, and therefore y(x), will satisfy the radiation condition, C
-, r y (9-64) With this condition on y it can readily be seen that the integral in (9.63
) over the hemisphere S2 vanishes inversely as the hemisphere radius as that ...
Page 284
... E) x V'G - Gn x (V' x E) (9.72) While it may not appear very fruitful to transform
the two terms in (9.68) into six terms, we will now show that the surface integral of
the first three terms in (9.72), involving the product (GE), vanishes identically.
... E) x V'G - Gn x (V' x E) (9.72) While it may not appear very fruitful to transform
the two terms in (9.68) into six terms, we will now show that the surface integral of
the first three terms in (9.72), involving the product (GE), vanishes identically.
What people are saying - Write a review
LibraryThing Review
User Review - barriboy - LibraryThingA soul crushing technical manual written by a sadist that has served as the right of passage for physics PhDs since the dawn of time. Every single one of my professors studied this book, and every ... Read full review
LibraryThing Review
User Review - aproustian - LibraryThing"Jackson E&M is about learning how to approximate reliably...the entire book, with few exceptions, is a mathematical discussion on how to solve [the same] 4 problems for different boundary conditions." Read full review
Contents
Introduction to Electrostatics | 1 |
Scalar potential | 7 |
Greens theorem | 14 |
Copyright | |
19 other sections not shown
Other editions - View all
Common terms and phrases
acceleration angle angular applied approximation assumed atomic average axis becomes boundary conditions calculate called Chapter charge charged particle 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 modes 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 shown in Fig shows side solution space sphere spherical surface transformation unit vanishes vector velocity volume wave written
Bibliographic information
| Title | Classical Electrodynamics |
| Authors | John David Jackson, Patrick Thaddeus Jackson |
| Edition | 3 |
| Publisher | Wiley, 1962 |
| Length | 641 pages |
| Export Citation | BiBTeX EndNote RefMan |