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