Answer:
(a) Râ / (Râ + [tex]R_{sensor}[/tex])
(b) -[tex]R_{sensor}[/tex] / (Râ + [tex]R_{sensor}[/tex])
Explanation:
(a)
i - Using voltage division rule =
vâ = vâ [[tex]R_{sensor}[/tex] / (Râ+[tex]R_{sensor}[/tex])]
The sensitivity is
ii - [tex]\int\limits^{vo}_{Rsensor}[/tex] = dvâ/d[tex]R_{sensor}[/tex] Â * Â [tex]R_{sensor}[/tex]/vâ
        = Râ / (Râ + [tex]R_{sensor}[/tex])
(b)
i - Using voltage divisor rule = vâ = vâ [[tex]R_{sensor}[/tex] / (Râ+[tex]R_{sensor}[/tex])]
ii - [tex]\int\limits^{vo}_{Rsensor}[/tex] = Â dvâ/d[tex]R_{sensor}[/tex] Â * Â [tex]R_{sensor}[/tex]/vâ
        = -[tex]R_{sensor}[/tex] / (Râ + [tex]R_{sensor}[/tex])