A resistance temperature detector (RTD) is placed in a Wheatstone bridge as according to Figure 4. The RTD can be assumed to have 1st order dynamics where the temperature co-efficient is given as: Y = 0.001K-1. It is given that when R₁ = 5000, R₂ = 6000, R3 = 30002, the Wheatstone bridge is balanced when T = 280K. The input voltage is also given as: V = 8 Volts. 1. Please find the RTD resistance under the balanced condition. Subsequently, determine the output voltage Vo of the Wheatstone bridge when T = 340K. 2. Suppose the temperature co-efficient has an uncertainty tolerance of 3% and the voltage source V has an uncertainty of ±0.1 Volts. The other components of the circuit do not contain any uncertainty. Please determine the resulting uncertainty of Vo when T = 340K. RTD M R3 V 1+ + R1 M M R2

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Question 5
A resistance temperature detector (RTD) is placed in a Wheatstone bridge as according to Figure 4.
The RTD can be assumed to have 1st order dynamics where the temperature co-efficient is given as:
y = 0.001K-¹. It is given that when R₁ = 5000, R₂ = 600, R3 = 3000, the Wheatstone bridge
is balanced when T = 280K. The input voltage is also given as: V = 8 Volts.
1. Please find the RTD resistance under the balanced condition. Subsequently, determine the
output voltage Vo of the Wheatstone bridge when T = 340K.
Suppose the temperature co-efficient has an uncertainty tolerance of 3% and the voltage
source V has an uncertainty of ±0.1 Volts. The other components of the circuit do not
contain any uncertainty. Please determine the resulting uncertainty of Vo when T = 340K.
2.
RTD
m
R3
V
1+
Figure 4
+
R1
M
ww
R2
Transcribed Image Text:Question 5 A resistance temperature detector (RTD) is placed in a Wheatstone bridge as according to Figure 4. The RTD can be assumed to have 1st order dynamics where the temperature co-efficient is given as: y = 0.001K-¹. It is given that when R₁ = 5000, R₂ = 600, R3 = 3000, the Wheatstone bridge is balanced when T = 280K. The input voltage is also given as: V = 8 Volts. 1. Please find the RTD resistance under the balanced condition. Subsequently, determine the output voltage Vo of the Wheatstone bridge when T = 340K. Suppose the temperature co-efficient has an uncertainty tolerance of 3% and the voltage source V has an uncertainty of ±0.1 Volts. The other components of the circuit do not contain any uncertainty. Please determine the resulting uncertainty of Vo when T = 340K. 2. RTD m R3 V 1+ Figure 4 + R1 M ww R2
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