• Skip to primary navigation
  • Skip to main content
  • Skip to primary sidebar
SensorsONE

SensorsONE

  • Products
  • Contact

Converting 4 to 20mA Linear Signal to and from Square Root Extraction Signal

Some pressure measurements are used to indirectly derive another type of measurand. One of these is the Rate of Flow of a gas or liquid. The flow rate along a closed pipe is directly proportional to the square root of the pressure drop or differential pressure between two points.

Since the relationship is non-linear, there is a greater change in flow at low pressures compared to higher ones. In order to optimise the resolution of flow measurement, the output on some differential pressure transmitters can be altered so that it is directly proportional to the flow rate rather than the differential pressure.

Featured sqrt extraction 4-20ma current loop signal related products

  • 250″wc Orifice plate flow measurement dp transmitter - This differential pressure (dp) transmitter can be used to measure the difference in upstream and downstream flowing pressure either side of a orifice plate.
  • DPT200 Pressurised Tank Level Differential Pressure Transmitter - Pressurised tank liquid level differential pressure cell transmitter for process plant storage.

Linear → Sq Rt 4-20mA Conversion

The following formula can be used for converting a linear 4-20mA current loop signal to a square root extraction type:

OutputSqRt = 4mA + (4 x √ (OutputLinear – 4mA))

The following table shows values for linear to square root extraction 4 to 20 milliamp current loop signal.

Linear (mA) Square Root (mA)
4 4.00
5 8.00
6 9.66
7 10.93
8 12.00
9 12.94
10 13.80
11 14.58
12 15.31
13 16.00
14 16.65
15 17.27
16 17.86
17 18.42
18 18.97
19 19.49
20 20.00

Convert any linear measurement to sqrt extraction 4-20mA signal

Featured sq rt 4 to 20 milliamp output related products

  • Universal Strain Gauge Bridge Input Transmitter – STRAIN - Simplify your strain measurement setup with the STRAIN Universal Strain Gauge Bridge Input Transmitter. This versatile device converts mV signals from strain gauges, load cells, and pressure transducers into 0-10Vdc, 0-20mA, or 4-20mA outputs.
  • Low Differential Pressure Transmitters Pitot tube air flow calculation 1000 hPa differential pressure transmitter - Air flow differential pressure transmitter for measuring difference between pitot tube and static port pressure up to 1000 hectopascals.

Sq Rt → Linear 4-20mA Conversion

The formula for converting a square root extraction 4-20mA signal to a linear one is: 

OutputLinear = 4mA + ((OutputSqRt – 4mA)² / 16)

The following table shows values for square root extraction to linear 4 to 20 milliamp current loop signal.

Square Root (mA) Linear (mA)
4 4.00
5 4.06
6 4.25
7 4.56
8 5.00
9 5.56
10 6.25
11 7.06
12 8.00
13 9.06
14 10.25
15 11.56
16 13.00
17 14.56
18 16.25
19 18.06
20 20.00

Convert sqrt extraction 4-20mA signal to any linear measurement

Featured square root extraction 4-20ma signal related products

  • 10 kPa orifice plate differential pressure transmitter for water flow measurement - Pressure sensor for measuring the differential pressure generated by water flowing through an orifice plate in a pipe, and converting the output to a water flow measurement.
  • Low Differential Pressure Transmitters Pitot tube air flow calculation 1000 hPa differential pressure transmitter - Air flow differential pressure transmitter for measuring difference between pitot tube and static port pressure up to 1000 hectopascals.

Primary Sidebar

Measurement Instrument Specifier

Specify a measurement instrument

Select your measurement instrument requirements

Universal Signal Converter

ISOCON universal signal converter

Convert any analogue measurement signal type with this Universal Signal Converter

Convert 4-20mA signal to…

  • 0-20mA
  • 0-10V
  • 0-5V
  • 1-5V
  • 20-4mA
  • 4-20mA sqrt

Wirelessly Measure & Log 4-20mA

Use this battery powered wireless 4-20mA wireless transmitter to transmit readings to a receiver connected to USB, RS485, RS232, cellular network or analog output

Use this battery powered 4-20mA wireless transmitter to transmit readings to a receiver connected to USB, RS485, RS232, cellular network or analog output

Email Your Enquiry

enquiries@sensorsone.com
By clicking "OK" or continuing to use this website you are providing your consent to use cookies as described in our Privacy Policy

© 2025 SensorsONE Ltd, all rights reserved

  • Home
  • Products
  • Tools
  • Legal
  • Contact