Why Use Sense Resistors in 4-Wire Kelvin Measurements?

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Tweedle_Dee
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In a 4-wire (kelvin) measuring system, why are there "sense" resistors? I understand that because there is very little current on the sense line there is no voltage drop. What purpose do they serve?
 
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Where are the sense resistors exactly? In a Kelvin 4-probe you run a constant current through a test resistance and then measure voltage drop across it.