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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 />

s<br />

Q s<br />

U = ⋅<br />

∫ E( x)<br />

dx = E ⋅ s = ε ⋅ A<br />

0<br />

Q<br />

=<br />

ε ⋅<br />

A⋅U<br />

s<br />

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

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

High-Voltage Technology / Chapter 6 - 50 -

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