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 />
U<br />
21<br />
1<br />
2<br />
ds<br />
= ∫ E 2<br />
∞<br />
Q 1 Q ⎡ 1⎤<br />
Q<br />
U<br />
R∞<br />
= ∫E()<br />
r dr = ∫ dr = ⋅<br />
4πε r 4πε ⎢<br />
− =<br />
⎣ r⎥⎦<br />
4πεR<br />
R<br />
∞<br />
R<br />
∞<br />
R<br />
Q = 4πεRU<br />
<strong>Fachgebiet</strong><br />
<strong>Hochspannungstechnik</strong><br />
High-Voltage Technology / Chapter 6 - 12 -
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