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Formula for the resistance of a two-dimensional trapezoidal resistor

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Reedman

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I am looking for the exact formula for the resistance of a
two-dimensional trapezoidal resistor.
I assume that conformal mapping will be required.
The sheet resistivity is rho,
the two sides (which have zero resistance contacts)
are B1 and B2,
and the distance between them is H.

I'm not looking for the toroidal disk approximation or the
"assume that you can integrate a series of vertical slices"
approximation (the current flows at various angles, not
just parallel to the axis).

Any help?

George
 

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