4–20 mA Signal Scaling Calculator

Converts between loop current, percent of span, and engineering units for instrument loop checks — linear and square-root (DP flow) characterization, with the five-point checkout table. Runs entirely offline; inputs persist in this browser via localStorage.

Use limits: This does the scaling arithmetic. The transmitter's configured range (read it from the device, don't trust the datasheet), damping, and whether square-root extraction happens in the transmitter or the PLC are configuration facts you verify on the loop — a perfect calculation against the wrong LRV/URV is still the wrong answer. Loop checks follow the approved loop sheets and the commissioning plan.
Instrument Range

Square root only if extraction is NOT already done in the transmitter — never in both places.

Convert

How the Numbers Are Derived

Linear scaling

% = (mA − 4) / 16 × 100

PV = LRV + (mA − 4)/16 × (URV − LRV)    and inverted:   mA = 4 + 16 × (PV − LRV)/(URV − LRV)

Works for elevated and suppressed zeros (LRV ≠ 0, including negative LRV for vacuum or bidirectional flow) — the span is just URV − LRV, signed.

Square-root (DP flow) scaling

Differential pressure across an orifice or venturi varies with the square of flow, so when the transmitter sends raw DP as a linear signal, flow is recovered as:

PV = LRV + √((mA − 4)/16) × (URV − LRV)

The consequences on the checkout table are the part that trips people: 50% signal (12 mA) is 70.7% of full flow, and 25% signal (8 mA) is 50% flow. If the SCADA readback during a loop check matches the linear column instead of the square-root column, the extraction is configured in the wrong place (or twice).

Fault bands (NAMUR NE 43)

Readings outside the live 4–20 range are diagnostic, not data:

The tool flags any converted mA reading in these bands rather than pretending it's a process value.

Field notes

References

  1. ISA-51.1 — Process Instrumentation Terminology (ranges, spans, elevated/suppressed zero). https://www.isa.org/
  2. NAMUR NE 43 — Standardization of the Signal Level for Failure Information of Digital Transmitters.
  3. Project loop sheets and instrument index — the governing configuration documents.