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R - Fachgebiet Hochspannungstechnik

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Analytical Solution of Gauss's Law<br />

4 th step<br />

Evaluating the interdependence of electric field strength E<br />

and voltage U from the results of 1 st and 2 nd step: E = f(U)<br />

R1⋅<br />

R2<br />

Q= 4πεU⋅<br />

R − R<br />

2 1<br />

1<br />

Er ()<br />

=<br />

Q<br />

4πεr<br />

2<br />

E/E max<br />

R<br />

⋅ R<br />

1<br />

1 2<br />

Er () = U⋅ ⋅ R<br />

2<br />

2<br />

− R<br />

1 r<br />

0<br />

R<br />

r<br />

<strong>Fachgebiet</strong><br />

<strong>Hochspannungstechnik</strong><br />

High-Voltage Technology / Chapter 6 - 24 -

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