通用惠斯通电桥的最优灵敏度
Optimal Sensitivity of the general Wheatstone Bridge
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中文总结 AI 辅助
本文针对惠斯通电桥在有限源和检测器电阻下的灵敏度优化问题，提出了最优配置的解析表达式，并与传统等臂配置对比验证其优越性。
中文摘要 AI 辅助
优化惠斯通电桥中不平衡电压对桥臂参数变化的灵敏度，仍是电路设计与仪器仪表领域的基本目标。当考虑有限源电阻和检测器电阻时，确定最优桥路配置变得日益复杂，且最优解的解析表达式尚未建立。本文推导了在有限源电阻和检测器电阻条件下最优配置的一种新颖解析表达式。此外，将所提出的最优解与传统的等臂配置进行了基准对比。
英文摘要
Optimizing the sensitivity of the unbalance voltage in Wheatstone bridges with respect to changes in the bridge parameters remains a fundamental objective in circuit design and instrumentation. When finite source and detector resistances are taken into account, determining the optimal bridge configuration becomes increasingly complex, and a closed-form analytical representation of the optimal solution has not yet been established. This paper derives an analytical solution for the optimal configuration of a Wheatstone bridge with finite source and detector resistances. Furthermore, the proposed optimal solution is compared with the conventional equal-arm configuration.
