4–20 mA current loop calculator
Scale a 4–20 mA signal to engineering units and back, see where it falls against the NAMUR NE 43 fault thresholds, and get the five-point calibration table for your range.
The transmitter's range
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From a current to a value
50 °C
50 % of span
Within 4–20 mA3 V across 250 Ω
Pneumatic equivalent 9 psi (0.6 bar) on a 3–15 psi signal
From a value to a current
12 mA
50 % of span
Within 4–20 mAFive-point check
| Span | Current | Value |
|---|---|---|
| 0 % | 4 mA | 0 °C |
| 25 % | 8 mA | 25 °C |
| 50 % | 12 mA | 50 °C |
| 75 % | 16 mA | 75 °C |
| 100 % | 20 mA | 100 °C |
= 16 µA of loop current
How the calculation works
- 01The live zero: 4 mA is 0 % of span and 20 mA is 100 %, so value = low + (mA − 4)/16 × (high − low) and its inverse. A dead loop (0 mA) is then distinguishable from a true zero reading.
- 02Percent of span is (mA − 4)/16. An error of 0.1 % of span is therefore 16 µA of loop current, which is the figure to compare with a loop calibrator's accuracy.
- 03NAMUR NE 43 treats 3.8 to 20.5 mA as a valid measurement and a signal at or below 3.6 mA or at or above 21 mA as a transmitter fault; between those it is outside the measuring range but not a failure.
- 04The voltage across a sense resistor is V = I × R, so a 250 Ω resistor turns 4–20 mA into 1–5 V.
- 05For a differential-pressure flow transmitter the current is linear in DP but flow goes as its square root, so flow = low + √((mA − 4)/16) × (high − low): 12 mA is 70.7 % of maximum flow. The pneumatic equivalent is 3–15 psi (0.2–1.0 bar) over the same span.
Limitations
- The linear mode assumes a linear transmitter. Choose the square-root mode for a head-type flow transmitter, and note that some transmitters extract the square root internally, in which case the output is already linear in flow.
- NE 43 failure levels are a convention a transmitter may or may not follow: its configured burn-out direction decides what it actually outputs on a fault.
- It checks the arithmetic, not the loop: supply voltage, burden resistance and wiring are outside it.
Frequently asked questions
- How do I convert 4–20 mA to a temperature or pressure?
- Subtract 4, divide by 16, multiply by the span (high minus low) and add the low end. For 0–100 °C, 12 mA is (12 − 4)/16 × 100 = 50 °C.
- Why does a 4–20 mA loop start at 4 mA and not 0?
- So a broken wire or dead power supply reads 0 mA and is recognised as a fault, instead of being mistaken for a real zero. The 4 mA also powers two-wire transmitters.
- What are the NAMUR NE 43 limits?
- Signals from 3.8 to 20.5 mA are valid measurements. At or below 3.6 mA, or at or above 21 mA, the device is signalling a fault. This calculator marks which side of those thresholds a current falls.
- How do I scale a square-root flow transmitter?
- A differential-pressure transmitter's current is linear in DP, but flow goes as the square root, so 12 mA (half the DP span) is 70.7 % of maximum flow, not 50 %. Choose the square-root mode, enter the flow at 20 mA as the high end, and the conversion and the five-point table follow that curve. If the transmitter extracts the square root itself, use the linear mode.
- What calibration points should I check on a transmitter?
- The usual set is 0, 25, 50, 75 and 100 % of span, which is 4, 8, 12, 16 and 20 mA, in rising and falling order if hysteresis matters. The table below the calculator is that set for your range.
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Ask ValiTrac AIRead the theory
Pressure gauge calibration: procedure, points and uncertainty
Rising and falling series, hysteresis, and the head correction people forget — about 98 Pa per centimetre of water, which usually beats the stated uncertainty.
Tolerance versus uncertainty
Tolerance is what you require of the instrument; uncertainty is how well the calibration could measure it. A conformity statement needs both.
Resolution as an uncertainty component
A digital display of resolution d contributes a rectangular term of half-width d/2, so u = d/(2√3) ≈ 0.29 d. For a 0.1 °C logger that is 0.029 °C.
Accuracy vs precision in measurement
Precision is about scatter; accuracy is about closeness to the true value. An instrument can be precise and wrong, or accurate on average and noisy.
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