Question

1. The electromotive force E for a thermocouple is given by E = aT + 1/2 bT^2 a). Calculate and sketch E for conditions in which the reference source is at 0 °C and temperature varies from 0 °C to 60 °C. The thermocouple material is copper constantan with a = 38.7 µV/°C and b = 0.082 µV/°C^2. How significant is the second term in your calculation? b). Calculate the sensitivity ? at 37 °C for the copper constantan thermocouple. (The thermoelectric sensitivity is defined by differentiating the above equation with respect to T.) 2. In a thermistor, the relationship between resistance Rt and absolute temperature T in Kelvin (K) is given by: Rt = R0e^[?(T0-T)/TT0] Please calculate temperature coefficient ? (? is defined as ? = 1/Rt * dRt/dT). 3. The empirical relationship between the thermistor resistance Rt and absolute temperature T (in Kelvins) is Rt = R0e^[?(T0-T)/TT0] where ? is the material constant for thermistor; T0 is the standard reference temperature. If the resistance is 2000 ? at T=300 K, and 1447 ? at T=330K, what is the temperature when the resistance is 1700 ??

          1. The electromotive force E for a thermocouple is given by

E = aT + 1/2 bT^2

a). Calculate and sketch E for conditions in which the reference source is at 0 °C and temperature varies from 0 °C to 60 °C. The thermocouple material is copper constantan with a = 38.7 µV/°C and b = 0.082 µV/°C^2. How significant is the second term in your calculation?

b). Calculate the sensitivity ? at 37 °C for the copper constantan thermocouple. (The thermoelectric sensitivity is defined by differentiating the above equation with respect to T.)

2. In a thermistor, the relationship between resistance Rt and absolute temperature T in Kelvin (K) is given by:

Rt = R0e^[?(T0-T)/TT0]

Please calculate temperature coefficient ? (? is defined as ? = 1/Rt * dRt/dT).

3. The empirical relationship between the thermistor resistance Rt and absolute temperature T (in Kelvins) is

Rt = R0e^[?(T0-T)/TT0]

where ? is the material constant for thermistor; T0 is the standard reference temperature. If the resistance is 2000 ? at T=300 K, and 1447 ? at T=330K, what is the temperature when the resistance is 1700 ??

1. The electromotive force E for a thermocouple is given by

E = aT + 1/2 bT^2

a). Calculate and sketch E for conditions in which the reference source is at 0 °C and temperature varies from 0 °C to 60 °C. The thermocouple material is copper constantan with a = 38.7 µV/°C and b = 0.082 µV/°C^2. How significant is the second term in your calculation?

b). Calculate the sensitivity ? at 37 °C for the copper constantan thermocouple. (The thermoelectric sensitivity is defined by differentiating the above equation with respect to T.)

2. In a thermistor, the relationship between resistance Rt and absolute temperature T in Kelvin (K) is given by:

Rt = R0e^[?(T0-T)/TT0]

Please calculate temperature coefficient ? (? is defined as ? = 1/Rt * dRt/dT).

3. The empirical relationship between the thermistor resistance Rt and absolute temperature T (in Kelvins) is

Rt = R0e^[?(T0-T)/TT0]

where ? is the material constant for thermistor; T0 is the standard reference temperature. If the resistance is 2000 ? at T=300 K, and 1447 ? at T=330K, what is the temperature when the resistance is 1700 ??

Added by Karen B.

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