R - Fachgebiet Hochspannungstechnik
R - Fachgebiet Hochspannungstechnik
R - Fachgebiet Hochspannungstechnik
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Analytical Solution of Gauss's Law<br />
Concentric spheres<br />
Sphere in free space<br />
C<br />
= 4πε<br />
R ⋅<br />
1<br />
s<br />
+ R<br />
s<br />
1<br />
C<br />
Q<br />
= =<br />
U<br />
4πε<br />
R<br />
s<br />
Enveloping<br />
surface A<br />
Enveloping<br />
surface A<br />
Dielectric<br />
displacement<br />
density D<br />
Electric<br />
field<br />
strength E<br />
⎛<br />
Cconc. = Cfree ⋅ ⎜1+<br />
R<br />
⎝ s<br />
1<br />
⎞<br />
⎟<br />
⎠<br />
C conc. always larger than C free<br />
<strong>Fachgebiet</strong><br />
<strong>Hochspannungstechnik</strong><br />
High-Voltage Technology / Chapter 6 - 23 -