hv 3 arthit tu
TRANSCRIPT
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11Promovortrag Thanapong Suwanasri
.F
2
3
3.1
zDzyD
yxD
xDED
DEr4
Q
D
r4
QD
QAdD
rdAd
D
fluxDnt)displaceme(Electricflux
irr4
Q
QF
EQ
rr
r,rr4
QQF
2
2
s
2
1
r,2
1QQ 01
+
+
==
===
=
==
=
=
===
===
.
.F
3
Electrical Potential
( )
s.dE
A.dD
VQ
C
zzVy
yVx
xVVgrad VE
V-Vs.dE
s.dEQW
s.dEQW
0s.dFWsW
F
2
1
(B)(A)B
A
B
A
B
A
BAQ
s
A
-- -
==
+
+
===
=
==
==
=
A
B
x
E
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22Promovortrag Thanapong Suwanasri
.F
4
2
2
2
2
2
22
2
z
V
y
V
x
V:Note
equationsLaplace'0
equationsPoisson'V
grad V.div
(-grad V)].div[
ED
Ddiv
grad V-E
-
-
+
+
=
=
=
=
=
=
=
=
.F
5
3.1.1 Concentric spheres
r4Q
drr4
QV
rr4
Qr
VVE
rr4
Q
E
QA.dE
QA.dE
QVA.dD
2r
2
rrr
2
-
--
A
A
A
==
=
==
=
=
=
==
Q
r1
r2
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33Promovortrag Thanapong Suwanasri
.F
6
2112
21
1minmax
21
2r2
2
21
2
12121
rrrr4
r1
r1
4UQ
C
rwhen rE
r1
r1
r
UE
r4
Qr
r1
r1
U4
Qr1r14 QUVVrr
=
==
==
=
==
@
&
.F
7
1minmax2112
1
2
1
2
2
1
2
1
r
rrErrr]r[rlnr
UE
rr
lnr2
QrUr
r
rln
2
Qdr
r
r r2
Qdr
r
r
EU
r2Q
E
Qr.2EQVA.dD
A
=
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44Promovortrag Thanapong Suwanasri
.F
8
e=
==+
=+=
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55Promovortrag Thanapong Suwanasri
.F
10
3.1.2
1) dielectric
2) dielectric
212
12211
21
2211
EEEE
DDD0ADAD
0A.dD-
A
==
=
=+
=
221
12
2
1
121
2211
DDD
D
//EEE 0EE
0s.dE
==
==
=
D1
D2
A1
U
D1
r1
r2
E1
E2
r1
r2
l1
l2
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3) dielectric
21
1n
2n
2t
1t
2n
2t
2n
2t2
1n
1t
1n
1t1
2t21
1t22t
1
1t2t1t
2n1
2
1n
2n21n1
2n1n12
EE
DD
2tan1tanthen
EE
DD
tan,EE
DD
tan
***DDD
D
EE
***EE
EEDD
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