R - Fachgebiet Hochspannungstechnik
R - Fachgebiet Hochspannungstechnik
R - Fachgebiet Hochspannungstechnik
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Analytical Solution of Gauss's Law<br />
1 st step<br />
Resolution of Gauss's Law<br />
∫∫<br />
D d A<br />
A<br />
= Q<br />
to the absolute value of D<br />
∫∫<br />
A<br />
DA<br />
∫∫<br />
2<br />
d = D() r dA= D() r ⋅ A() r = D()4<br />
r ⋅ π r = Q<br />
A<br />
Dr () =<br />
Er () =<br />
Q<br />
2<br />
4π<br />
r<br />
Q<br />
4πε<br />
r<br />
2<br />
same procedure as for sphere in free space<br />
<strong>Fachgebiet</strong><br />
<strong>Hochspannungstechnik</strong><br />
High-Voltage Technology / Chapter 6 - 20 -