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Another type of field variation which causes a drifting of the particle's guiding
center is curvature of the lines of force. Consider the twodimensional field shown
in Fig. 12.7. It is locally independent of z. On the left-hand side of the figure is a ...
All the terms on the left-hand side of the equation involving gia,(r) vanish
because of orthogonality, and only one term involving an fin (r) survives: 2 |#. + 3
+ + k2 – 10 + "|-0 - dr” r dr r? _47 X. . [V x J + cV x (V x .so)] d() (16.84) By
substituting the ...
We let |x"|→ 00 on both sides of (16.22). Then we can put |x — x"| cr' — n - x on
the left-hand side, where n is a unit vector in the direction of x'. On the right side r
= r^ and r- = r. Furthermore we can use the asymptotic form (16.13) for h;”(kr').
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Introduction to Electrostatics
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