Input Unit (Linear Input)
You can use any type of range between Low Input Limit (LRV) and High Input Limit (URV).
Output (SqRt Output)
You can use any type of range between Low Input Limit (LRV) and High Input Limit (URV).
Formula
SRR = ((LI - LLI)/(HLI - LLI))1/2 x (HSO - LSO) + LSO
Symbols
- LI = Linear Input
- LLI = Lowest Linear Input
- HLI = Highest Linear Input
- SRO = Square Root Extraction Output
- LSO = Lowest Square Root Extraction Output
- HSO = Highest Square Root Extraction Output
Example
0-300 pascals dp to 0-12,000 cubic metres per hour flow conversion
Let's say that, we have a differential pressure of 0 to 300 pascals which send to the transmitter (DP), and then the transmitter sends a square root extractor input to a DCS system which measures a flow rate of 0 - 12,000 m3/h. The figure below shows 10 points over the 0 to 300 Pa which should be compared with the actual flow being measured.

Example 1
SqRt extraction to convert inH20 pressure to mmscfd flow
The example below shows the exact calculation when will be performed Square
Root as a transfer function for flow measurement.
Let's say that 0-100 mmscfd (million standard cubic feet per day) corresponds to
the range of Flow Transmitter which is 0-100 inH2O (DP). When the DP reaches 50
inH2O, the flow will be 50 mmscf if the linear range is selected. In the case of
the Square Root, the story is totally different, see the details below
Using this formula the flow generated by 50 inH2O is:
50 inH2O = 70.710625 mmscf

Example 2
4-20mA linear to 0-100% flow
The example below shows how to convert mA to percentage square root
extraction of flow measurement.
Enter the into this calculator for a 4-20mA Input signal to square root
percentage conversion. For more details see the Figure below
Enter the following into this calculator for a 4-20mA signal to square root percentage conversion:
Linear Input (4-20mA)
- Reading ?
- Lowest 4
- Highest 20
Square Root Extraction Output (%)
- Lowest 0
- Highest 100
This is a 10 point scale showing the conversion values:
