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Consider a wheatstone bridge. Suppose a resistance Rx is istalled as the unknown, and the bridge is balanced giving a potentiometer divider ratio S_o. Now leave the potentiometer alone but let the unknown resistance change by a small amount DeltaRx. Show that the unblanced potential diference is

DeltaV = E(DeltaRx/Rx)(1 - S_o)*S_o

E is the voltage running into the circuit from the voltage source

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