An AC-DC resistor based on a silicon wafer

An ac-dc resistor based on a silicon wafer is suggested. A resistance ratio is deduced from two resistances of the wafer given by van der Pauw theorem and Thompson-Lampard theorem. The ratio is a constant value, (π/ln2)
²
and does not depend on electrical resistivity and other parameters. A simulation for dc current density to measure the two resistances was compared. Also, the two resistances were measured at dc and the measured resistance ratio is roughly in agreement with the calculated resistance ratio. We suppose that the concept can also be used for other ranges.