Question

A 14 bit A to D converter is to be employed with an Iron-constantan thermocouple. What temperature resolution can be expected with a full scale voltage of 100 mV? Thermocouple shows 0.5 mV at 50oC and 3.052 mV at 100oC.

Answer 1

`\gamma=0.122^oC`

Step-by-step explanation:

From the question we are told that:

Word length
`n=14bit`

Full scale voltage of 100 mV

Thermo-couple shows:

`0.5 mV\ at\ 50^oC`

`3.052\ mV\ at\ 100^oC.`

Generally the equation for Average output voltage V_[avg} is mathematically given by

`V_[avg}=(3.052-0.5)/(100-50)`

`V_[avg}=0.05mv`

Since

`Word lenght =14`

Therefore

`Voltage\ steps=(100)/(2^(14))`

`Voltage\ steps=6.10*10^3mv steps`

Generally the equation for The required temperature resolution\gamma is mathematically given by

`\gamma=(100)/(2^(14)*V_[avg)}`

`\gamma=(100)/(2^(14)*0.05)`

`\gamma=0.122^oC`