(Solved): A resistance temperature detector (RTD) is placed in a Wheatstone bridge as according to Figure 4 . ...

A resistance temperature detector (RTD) is placed in a Wheatstone bridge as according to Figure 4 . The RTD can be assumed to have $1^{\text{st }}$ order dynamics where the temperature co-efficient is given as: $\gamma =0.001{\mathrm{K}}^{-1}$. It is given that when ${\mathrm{R}}_1=500\Omega ,{\mathrm{R}}_2=600\Omega ,{\mathrm{R}}_3=300\Omega$, the Wheatstone bridge is balanced when $\mathrm{T}=280\mathrm{K}$. The input voltage is also given as: $\mathrm{V}=8$ Volts. 1. Please find the RTD resistance under the balanced condition. Subsequently, determine the output voltage ${\mathrm{V}}_{\mathrm{o}}$ of the Wheatstone bridge when $\mathrm{T}=340\mathrm{K}$. (8\%) 2. Suppose the temperature co-efficient has an uncertainty tolerance of $3\%$ and the voltage source V has an uncertainty of \pm 0.1 Volts. The other components of the circuit do not contain any uncertainty. Please determine the resulting uncertainty of ${\mathrm{V}}_{\mathrm{o}}$ when $\mathrm{T}=340\mathrm{K}$. $(7\%)$ Figure 4