4. a) An RTD (Resistance Temperature Detector) sensor forms one arm of a Wheatstone bridge circuit as shown in Figure Q4. The values of the fixed resistors are as shown in the figure. Assume the RTD is a PT100 sensor (implying its resistance is 10002 at 0°C). The resistance of the RTD RTD at temperature T can be expressed as: RATD= Ro(1+a(T-To)) where R₁ = 1000, To = 0°C and sensor temperature coefficient a = 0.003925°C¹. 10V ΙΚΩ Vout 10092 ΙΚΩ RTD Figure Q4 i) Determine ambient temperature 7 when the bridge is balanced. ii) If the RTD is immersed in a temperature calibration bath maintained at T = 100°C, determine the output voltage Vout. iii) Determine the sensitivity of the measurement, in terms of bridg outout versus ambient temperature.

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4. a) An RTD (Resistance Temperature Detector) sensor forms one arm
of a Wheatstone bridge circuit as shown in Figure Q4. The values
of the fixed resistors are as shown in the figure.
Assume the RTD is a PT100 sensor (implying its resistance is
10002 at 0°C). The resistance of the RTD RRTD at temperature T
can be expressed as:
RRTD= Ro(1+ a(T-To))
where Ro = 1000, To = 0°C and sensor temperature coefficient
a = 0.003925°C-1.
10V
ΙΚΩ
Vout
10092
1kQ
RTD
Figure Q4
i)
Determine ambient temperature T when the bridge is balanced.
ii)
If the RTD is immersed in a temperature calibration bath
maintained at T = 100°C, determine the output voltage Vout.
iii) Determine the sensitivity of the measurement, in terms of bridge
output versus ambient temperature.
Transcribed Image Text:4. a) An RTD (Resistance Temperature Detector) sensor forms one arm of a Wheatstone bridge circuit as shown in Figure Q4. The values of the fixed resistors are as shown in the figure. Assume the RTD is a PT100 sensor (implying its resistance is 10002 at 0°C). The resistance of the RTD RRTD at temperature T can be expressed as: RRTD= Ro(1+ a(T-To)) where Ro = 1000, To = 0°C and sensor temperature coefficient a = 0.003925°C-1. 10V ΙΚΩ Vout 10092 1kQ RTD Figure Q4 i) Determine ambient temperature T when the bridge is balanced. ii) If the RTD is immersed in a temperature calibration bath maintained at T = 100°C, determine the output voltage Vout. iii) Determine the sensitivity of the measurement, in terms of bridge output versus ambient temperature.
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