Document

[d‘\]Hk ŠoŠYfZ II EŒ
2009. 11. 25 K. Shibata
(6†eV)
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?9 i, j, k
++ x y z gQM@2/14r
2
2
@}2/14
2
r = xi + yj + zk r N(€‰ r = r = x + y + z *
2/14dF !A PdF Ax , Ay , Az 'j*
#2/140.35r r Ž LG
'j
[1] X
2Q
v*(Q%)‘2/14 a, b Wx
*2/14 c = a b ’2/14
*?9Ry
(1) 2/14 c 2/14 a >*-2/14 a, b dF-Bw
(2) ‘2/14 a, b -‘*7`‹x-2/14 a, b -B
(2/14dF B,)
(3) ’2/14 a, b, c '*[~C‹AAx-2/14 a, b -B
2/14 c -B,(2/14dF B,)
(4) (3)[~C‹AAx
8 2/14 a, b - 0 ?8lqzT
"p$ycsu%j
[2] * P „J)ƒ]2/14 v h‡%VK*?9
Ry
2
dv
-ƒ]2/14 v
(1) ƒ]2/14X=< v = v v -h‡ t aF
dt
Iƒ]2/14 a -B
2
(2) ƒ]2/14 v Iƒ]2/14 a >* P „J
'„J
*-*su%y
[3] 2/14ˆf A A = (x 2 + y 2 )yi + (x 2 + y 2 )xj + (2z 2 +1)k :(+*i| C
- x 2 + y 2 = 4 z = 0 D*?9Ry
(1) A A -p$
(2) xy [‹N-;bx n†F-UrOhS)]*i| C 8 x ^my ^m--B
(3) dx, dy ++-d-B
(4) xy [‹8dr - dx, dy -t
(5)
CA dr -p$
[4] 1.=P
(1) A "H5Q
(2) ( A) x H5"M
(3) (2) x H5"
(a) (b) 2 (c) 2 (d) +
+
DQ
x y
z y 2
z 2 (4) (3) P"
?DV.C?D(e)
(h)">
(a) (b) 2 (c) 2 (d) (f)
(e)
+
+
+
+
= ( (g) ) (h) Ax
x y
z y 2
z 2 x
(5) ( A) = ( ( ) ) 2 A (i) ">OC"@H
2 A = 2 Ax i + 2 Ay j + 2 Azk !
[5] &$),TJ (r) = x cos y + z 1.=P
(1) "M
(2) d " dr "4Q
(3) 2G ?8K<"N(%'* 0!"N
(4) : d " d = adx + bdy + cdz (a, b, c AJ)DQ
(5) :!LF7SK<"N93(%'*"M
(6) : EB6U ?8K<"N(%'*"/I
;-K<RK<(%'*-$#+'!