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R - Fachgebiet Hochspannungstechnik

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Analytical Solution of Gauss's Law<br />

E<br />

max<br />

U R U U<br />

R R − R R s<br />

2<br />

= ⋅ = +<br />

1 2 1 1<br />

Curvature effect:<br />

U U U<br />

R > → E ≈<br />

1 max<br />

R1 s R1<br />

• Electric field strength governed by sphere radius<br />

• Increase of gap spacing of virtually no impact<br />

on maximum electric field strength<br />

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

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

High-Voltage Technology / Chapter 6 - 32 -

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