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Electrical Power System Essentials
book

Electrical Power System Essentials

by Pieter Schavemaker, Lou van der Sluis
May 2008
Intermediate to advanced
340 pages
9h 41m
English
Wiley
Content preview from Electrical Power System Essentials

A.5 QUASI-STATIC FIELD OF A RESISTOR

Consider the resistor in air as shown in Figure A.4, formed by placing a resistive sheet of uniform surface conductivity σss at one end of two perfectly conducting plates(σ = ∞). The length and width of the plates are much larger than their separation distance, so that all fringing in the resulting fields can be neglected. Therefore, all variation in E and H with both x and y can be neglected within this system:

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The system is excited with a low-frequency sinusoidal excitation, which is uniformly distributed between the plates (at z = −l), such that a fixed reference voltage across the resistive sheet (in the z = 0 plane) is maintained:

images

Quasi-static solution

The zero-order time-varying electromagnetic fields in this system are identical in form to their static (DC) counterparts:

images

images

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Figure A.4 Resistor in air. All fringing in the resulting fields can be neglected as l » d and w » d.

The first-order contributions to the electric field can be derived from ...

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Publisher Resources

ISBN: 9780470510278Purchase book