3. A voltage-sensitive Wheatstone bridge (refer to Figure 7.33) is used in conjunction with a hot-wire sensor to measure the temperature within a jet of hot gas. The resistance of the sensor is R = Ro[1 + a(T - Tl)], where Ro = 50 is the resistance at T = 0°C and aT = 0.00395/°C. For E = 10 V and R3 = R4 = 500, determine (a) the value of R2 (in Ω) required to balance the bridge at T = 0°C. Using this as a fixed resistance, further determine (b) the value of R (in Ω) at T = 50°C, and (c) the value of E (in V) at T = 50°C. Next, a voltmeter having an input impedance of 1000 Ω is connected across the bridge to measure Eo. Determine (d) the percentage loading error in the measured bridge output voltage. Finally, state what other electrical component, and in what specific configuration, could be added between the bridge and the voltmeter to reduce the loading error to a negligible value.