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R - Fachgebiet Hochspannungstechnik

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Analytical Solution of Gauss's Law<br />

Concentric spheres<br />

Coaxial cylinders<br />

E<br />

max, opt<br />

4U<br />

R<br />

= max, opt<br />

2<br />

E<br />

=<br />

eU ⋅<br />

R<br />

2<br />

E max for concentric spheres always larger than for coaxial cylinders<br />

Reason: Curvature in further dimension of space (z-direction)<br />

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

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

High-Voltage Technology / Chapter 6 - 46 -

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