Quick Answer
Calculate Thermocouple Cold-Junction Compensation Error Estimator
Calculator
Result Interpretation
Thermocouple Cold-Junction Compensation Error Estimator Calculator computes Temperature Measurement Uncertainty Due to CJC Error in K using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- ADC Quantization Step Size (Cold-Junction Channel) = 0.0025
- True Cold-Junction Temperature = 298.15
- Measured Cold-Junction Temperature = 298.16
- Maximum Thermal Gradient Across Isothermal Block = 0.04
Expected Result:
- Temperature Measurement Uncertainty Due to CJC Error = 0.022372674320495
Engineering Interpretation:
Under the given input conditions, the calculated result is: Temperature Measurement Uncertainty Due to CJC Error = 0.022372674320495 K.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
temperature measurement uncertainty due to cjc error = sqrt(pow(measured cold-junction temperature - true cold-junction temperature, 2) + pow(maximum thermal gradient across isothermal block / 2.0, 2) + pow(Cold-Junction Channel * 0.293, 2))Formula family: formula_instrumentation_thermocouple_cold_junction_compensation_error_estimator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| T_cjc_measured | Measured Cold-Junction Temperature | INPUT | Measured Cold-Junction Temperature |
| T_cjc_true | True Cold-Junction Temperature | INPUT | True Cold-Junction Temperature |
| T_gradient_max | Maximum Thermal Gradient Across Isothermal Block | INPUT | Maximum Thermal Gradient Across Isothermal Block |
| adc_lsb_K | ADC Quantization Step Size (Cold-Junction Channel) | INPUT | ADC Quantization Step Size (Cold-Junction Channel) |
| temperature_measurement_uncertainty | Temperature Measurement Uncertainty Due to CJC Error | OUTPUT | Temperature Measurement Uncertainty Due to CJC Error |
| adc_noise_factor | adc_noise_factor | CONSTANT | adc_noise_factor = 0.293 dimensionless |
Calculation Steps
- Enter the measured cold-junction temperature in K.
- Enter the true cold-junction temperature in K.
- Enter the maximum thermal gradient across isothermal block in K.
- Enter the adc quantization step size (cold-junction channel) in K.
- Step 1: Compute temperature measurement uncertainty due to cjc error.
- Read the temperature measurement uncertainty due to cjc error (K) from the results.
Engineering Summary
Calculate Thermocouple Cold-Junction Compensation Error Estimator
Frequently Asked Questions
What does this calculator calculate?
The Thermocouple Cold-Junction Compensation Error Estimator Calculator estimates Temperature Measurement Uncertainty Due to CJC Error based on the input parameters you provide
Why is measured cold-junction temperature important in this calculation?
measured cold-junction temperature is directly proportional to temperature measurement uncertainty due to cjc error. When you enter measured cold-junction temperature in K, the calculator uses it in the engineering formula to compute the output
How should I interpret the result temperature measurement uncertainty due to cjc error?
The calculator outputs temperature measurement uncertainty due to cjc error in K. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Measured Cold-Junction Temperature (K), True Cold-Junction Temperature (K), Maximum Thermal Gradient Across Isothermal Block (K), ADC Quantization Step Size (Cold-Junction Channel) (K). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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