R - Fachgebiet Hochspannungstechnik
R - Fachgebiet Hochspannungstechnik
R - Fachgebiet Hochspannungstechnik
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Analytical Solution of Gauss's Law<br />
2 nd step<br />
Evaluating the voltage difference by integration<br />
of the electric field strength along the path<br />
1<br />
U<br />
21<br />
= ∫ E ds<br />
2<br />
R<br />
2 2<br />
Q 1 Q R2<br />
Q R<br />
URR<br />
= () [ ln ] ln<br />
1 2 ∫ E r dr = dr r<br />
R1<br />
2πε z∫<br />
= ⋅ = ⋅<br />
r 2πε z 2πε<br />
z R<br />
R<br />
1 1<br />
R<br />
R<br />
2<br />
1<br />
Q<br />
2πε<br />
z<br />
= ⋅U<br />
R2<br />
ln<br />
R<br />
1<br />
Enveloping<br />
surface A<br />
<strong>Fachgebiet</strong><br />
<strong>Hochspannungstechnik</strong><br />
High-Voltage Technology / Chapter 6 - 38 -
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