(Solved): Consider the temperature sensor below using a Wheatstone Bridge configuration ...

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Consider the temperature sensor below using a Wheatstone Bridge configuration. Given the supply voltage $$V_i=1\mathrm{V}$$ The two thermistors are temperature dependence with resistancess $$\begin{array}{l}{R}_{Th1}=2R\left(1+k_{1}T\right)\\ R_{Th2}=R\left(1+k_{2}T\right)\end{array}$$ where $$\mathrm{T}$$ is the temperature in $${}^{?}\mathrm{C}$$ and $$\mathrm{R}$$ is the resistance of the constant resistors on the left hand path. $$V_o$$ is the readout of this temperature sensor. Derive the output voltage $$V_o$$ as a function of temperature, $$T$$. In order to provide a linear sensor with sensitivity of $$0.006\mathrm{V}/{}^{?}\mathrm{C}$$, what values of the temperature coefficients, $$k_1$$ and $$k_2$$ should you select for $$R_{Th1}$$ and $$R_{Th2}$$ respectively? Plot $$V_o$$ against $$T$$ in this case.