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Using Thermocouples

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The Reference Junction<br />

Cu<br />

+<br />

v<br />

–<br />

Cu<br />

Voltmeter<br />

Cu<br />

+ –<br />

Cu V2<br />

+<br />

–<br />

C<br />

V 1<br />

J 1<br />

+<br />

–<br />

v<br />

+<br />

V 2<br />

–<br />

+ T<br />

V 1<br />

–<br />

J 1<br />

EXTERNAL REFERENCE JUNCTION<br />

Figure 5<br />

One way to determine the temperature of J 2 is to<br />

physically put the junction into an ice bath, forcing its<br />

temperature to be 0ºC and establishing J 2 as the<br />

Reference Junction. Since both voltmeter terminal<br />

junctions are now copper-copper, they create no<br />

thermal emf and the reading V on the voltmeter is<br />

proportional to the temperature difference between J 1<br />

and J 2 .<br />

Now the voltmeter reading is (see Figure 5):<br />

V = (V 1 - V 2 ) ≅α(t J1 - t J2 )<br />

If we specify T J1 in degrees Celsius:<br />

T J1 (ºC) + 273.15 = t J1<br />

then V becomes:<br />

V = V 1 - V 2 = α [(T J1 + 273.15) - (T J2 + 273.15)]<br />

= α (T J1 - T J2 ) = α (T J1 - 0)<br />

V = αT J1<br />

J 2<br />

Ice Bath<br />

J 2<br />

T=0°C<br />

The copper-constantan thermocouple shown in<br />

Figure 5 is a unique example because the copper wire<br />

is the same metal as the voltmeter terminals. Let’s use<br />

an iron-constantan (Type J) thermocouple instead of the<br />

copper-constantan. The iron wire (Figure 6) increases<br />

the number of dissimilar metal junctions in the circuit, as<br />

both voltmeter terminals become Cu-Fe thermocouple<br />

junctions.<br />

V 3<br />

J 3<br />

- +<br />

+<br />

v V 1<br />

–<br />

- +<br />

V 1 = V<br />

Voltmeter<br />

V 4 J 4<br />

if V<br />

3 = V4<br />

i.e., if<br />

T J 3<br />

= T J4<br />

JUNCTION VOLTAGE CANCELLATION<br />

Figure 7<br />

Z<br />

We use this protracted derivation to emphasize that<br />

the ice bath junction output, V 2 , is not zero volts. It is a<br />

function of absolute temperature.<br />

By adding the voltage of the ice point reference<br />

junction, we have now referenced the reading V to 0ºC.<br />

This method is very accurate because the ice point<br />

temperature can be precisely controlled. The ice point is<br />

used by the National Bureau of Standards (NBS) as the<br />

fundamental reference point for their thermocouple<br />

tables, so we can now look at the NBS tables and<br />

directly convert from voltage V to Temperature T J1 .<br />

Cu<br />

+<br />

v<br />

–<br />

Cu<br />

J 3<br />

J 4<br />

Fe<br />

Fe<br />

J 2<br />

Ice Bath<br />

IRON-CONSTANTAN COUPLE<br />

Figure 6<br />

C<br />

J 1<br />

Z-22<br />

If both front panel terminals are not at the same<br />

temperature, there will be an error. For a more precise<br />

measurement, the copper voltmeter leads should be<br />

extended so the copper-to-iron junctions are made on<br />

an isothermal (same temperature) block:<br />

Cu<br />

+<br />

v<br />

–<br />

Cu<br />

Voltmeter<br />

Cu<br />

Cu<br />

J 3<br />

J 4<br />

Ice Bath<br />

REMOVING JUNCTIONS FROM DVM TERMINALS<br />

Figure 8<br />

Fe<br />

Isothermal Block<br />

The isothermal block is an electrical insulator but a<br />

good heat conductor, and it serves to hold J 3 and J 4 at<br />

the same temperature. The absolute block temperature<br />

is unimportant because the two Cu-Fe junctions act in<br />

opposition. We still have<br />

V = α (T 1 - T REF )<br />

Fe<br />

V 2<br />

T REF<br />

C<br />

T 1

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