(Solved): The Wheatstone bridge shown above is connected to a pressure sensor that changes resistance accordi ...

The Wheatstone bridge shown above is connected to a pressure sensor that changes resistance according to the expression \( R_{s}(p)=100 \Omega\left[1+\frac{20000}{\text { bar }}\left(p-p_{a t m}\right)\right] \), where the units of \( R_{s} \) is in ohms, \( p \) is the pressure measured by the sensor in units of bar, and \( p_{a t m}=1.01325 \) bar is the atmospheric pressure. Use this information and the diagram above to answer the following questions: a) (3 points) Find the value of \( R_{x} \) if the bridge is balanced when \( p=p_{\text {atm }} \). b) (4 points) When the pressure is raised to \( \mathrm{p}=1.113 \) bar, the voltage difference is registered as \( E_{o}=50.5 \mathrm{mV} \). What value of \( E_{i} \) is required to achieve this condition?