Unformatted text preview: op plate produces plate produces da 'field poK/2 of(aiming )] ~. forthe page, for points above
bottom {X8Fz(x',y,z)
into [points above it, and into
( page,
)
From Ex. 5.8, below). The d
a field poK/2 (aiming [out
the
[F( 0, y, of points below). The below). Aboveproduces x ]field platesFy(aiming fields cancel; y, zfor points plates
= page, z  page, for points bottom plate 8z below both poK/2 the twoz into the (page,
8y
x  Jo
x, y, y + Fz x, between the above
0 z.
it, and outfor theJo
and
the X
a x + 0+
theyand out of the page, for points below). Above and below both plates the two fields cancel; between the plates
it, add up to poK, pointing in.
But V. F = 0, so the x term is in.
+
they add up to poK, pointing [Fx(O,y,Z) lx 8Fx~~:y,z) dX'] = Fx(O,y,z) + Fx(x,y,z)  Fx(O,y,z),
(a) B = poO'V
so V x W = F. ,( (in) betweem the plates, I B = 0 elsewhere.
(b) The Lorentz 8Wy law says F plates, B = 0 so the force per unit
force 8Wz
K x B. Here K 't. (TV,
=
(a)
x.8Fz(x',y,z) d '
8Wx
..., WB = poO'V (in) betweem the = J(K xB) da,elsewhere. Y8Fx(0,y',z)area is f =X8Fy(x',y,z)
0
dY' d x I O,
v' The ++x+
95
(b) = Lorentz 8y
force law = + J(K x 8y
unit
(TV,
8x B (the field8z s...
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This note was uploaded on 04/23/2013 for the course PHSX 531 taught by Professor Chiu during the Fall '12 term at Kansas.
 Fall '12
 chiu

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