Optimal Sensitivity of the general Wheatstone Bridge

Optimizing the sensitivity of the unbalance voltage in Wheatstone bridges with respect to bridge parameter changes remains a fundamental objective in circuit design and instrumentation. When accounting for finite source and detector resistances, determining the optimal bridge configuration becomes increasingly complex, and a analytical representation of the optimal solution has not yet been established. This paper derives a novel analytical representation of the optimal configuration for finite source and detector resistances. Furthermore, the proposed optimal solution is benchmarked against the conventional equal-arm configuration.