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 = 500, R₂ = 600, R3 = 3000, the Wheatstone bridge is balanced when T = 280K. The input voltage is also given as: V = 8 Volts.
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 = 500, R₂ = 600, R3 = 3000, the Wheatstone bridge is balanced when T = 280K. The input voltage is also given as: V = 8 Volts.
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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 = 500M, R₂ = 600N, 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.
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 V, when T = 340K.
RTD
M
R3
V
1 +
Figure 4
+
R1
M
M
R2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F438f6a69-96aa-43f6-9378-2a8549e75b32%2Fb1967467-44c7-415e-91ee-05afca3d49c9%2Fgzr851r_processed.jpeg&w=3840&q=75)
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 = 500M, R₂ = 600N, 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.
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 V, when T = 340K.
RTD
M
R3
V
1 +
Figure 4
+
R1
M
M
R2
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