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Temperature · Interactive Instrumentation Guide
Type K Thermocouple
Heat and cool the process. Compare temperature, sensor response, and the configured transmitter output.
Custom process schematic · not to scale · blue H connection / orange L connection, where applicable.
Application settings
Equation and live calculation
E_measured = E_K(T_hot) − E_K(T_ref); E_compensated = E_measured + E_K(T_ref)
Live substitution appears when the demonstration loads.
PV = process value; LRV/URV = lower/upper range values; I = current in mA. Pressure calculations use kPa internally. Selected units apply to inputs, limits, diagrams, and readouts; changing units converts the same physical values without changing the current. Tank calculations use meters internally; z is positive above the bottom tap. ρ = 1000 × specific gravity in kg/m³; g = 9.80665 m/s². H in tank equations means measured height, not the H port. Entered LRV/URV define the current scaling; calculated empty/full tank DP values are reference checks. Set and Reset Points define switch operation; deadband is their absolute difference. Temperature reference equations use °C internally. Mercury pressure units use conventional NIST conversion factors. Vacuum entries are negative gauge pressure; the absolute-pressure readout remains nonnegative. Models assume ideal instantaneous response. Displayed current is limited to the nominal 4–20 mA range: I_display = clamp(I_ideal, 4, 20), where clamp holds a value at its lower or upper limit. This teaching limit does not reproduce manufacturer-specific saturation or alarm currents.
Where it is used
Type K thermocouple measurement with an adjustable reference-junction temperature.
What the demonstration shows
The sensor voltage is E(hot) − E(reference). Cold-junction compensation adds the reference-junction equivalent voltage to recover E(hot).
Common mistake to avoid
A thermocouple measures a temperature difference. Do not scale raw millivolts as if they were linear in temperature.
Model assumptions
Type K NIST ITS-90 piecewise reference functions, including the positive-temperature exponential term. Demonstration temperature is −200 to 1000 °C. No thermocouple tolerance or reference-junction error is added.
Technical references
NIST — Thermocouple reference functionsEducational model. Consult the instrument manual for installation, configuration, limits, and approved test procedures. No connection to live plant equipment is made.