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Optimal Sensitivity of the general Wheatstone Bridge

  • Michael Fischer
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@misc{fischer2026optimal,
  title = {{Optimal Sensitivity of the general Wheatstone Bridge}},
  author = {Michael Fischer},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.15491},
  eprint = {2609.15491},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15491},
}
RIS
TY  - UNPB
TI  - Optimal Sensitivity of the general Wheatstone Bridge
AU  - Michael Fischer
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2609.15491
UR  - https://arxiv.org/abs/2609.15491
AB  - 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.
ER  -