Suppose the thermistors R_{T1} and R_{T2} are not identical. At room temperature, R_{T1} = 5000 ohms and R_{T2} = 6000 ohms. At a higher temperature, R_{T1} = 3000 ohms and R_{T2} = 4000 ohms. Suppose that R_{A} = sqrt(5000*3000) = 3870 ohms, but that R_{B} is a potentiometer whose resistance can be varied from 100 ohms to 10,000 ohms.
(a) What value should R_{B} have in order to "balance the bridge", i.e., set v_{out} = 0 V, at room temperature? Please explain.
(b) If v_{out} is a positive voltage, which thermistor is warmer? Please explain.