Question

For the conduction experiment, a thermocouple was used with a digital display box (DDB) to measure the temperature. The DDB is powered by a 16-bit A/D converter having a full-scale range of 10 V. What is the resolution of this A/D in volts? As this A/D was used to measure temperature using a thermocouple having a sensitivity, K, of 0.1mV/∘C, what is the resolution in ∘C ?

Answer 1

The resolution of a 16-bit A/D converter with a full-scale range of 10 V is 0.0001526 V. The resolution in degrees Celsius is 1.526 °C.

Step-by-step explanation:

The resolution of an A/D converter is determined by the number of bits it has. In this case, the A/D converter is 16-bit, which means it can represent the voltage with 2^16 (65536) different levels.

The full-scale range of the A/D converter is 10 V, so the resolution in volts is calculated by dividing the full-scale range by the number of levels: 10 V / 65536 = 0.0001526 V.

To calculate the resolution in degrees Celsius, we need to consider the sensitivity of the thermocouple. The sensitivity of the thermocouple is given as 0.1 mV/°C (millivolts per degree Celsius). So the resolution in degrees Celsius can be calculated by dividing the resolution in volts by the sensitivity: 0.0001526 V / 0.0001 V/°C = 1.526 °C.