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## Related Tools

## User Guide

This square root extraction input to linear output conversion tool provides an easy way to determine the ideal linear output produced by a measurement instrument for any given sqrt input value. A conversion scale for each specified square root extraction input and linear output range combination selected will be displayed below the calculated output.

### Input

#### Input Unit

Enter the measurement unit associated with the input values.

#### SqRt Input Reading

Enter the *Square Root Extraction Input* measurement reading to be converted.

#### Lowest SqRt Input

Enter the minimum possible value for the sqrt input range. The value can be a negative or a positive value and should be in the same engineering units as all *SqRt Input* values.

#### Highest Linear Input

Enter the maximum possible value for the sqrt input range. The value can be a negative or a positive value and should be in the same engineering units as all *SqRt Input* values.

### Output

#### Output Unit

Enter the measurement unit associated with the output values.

#### Lowest Linear Output

Enter the minimum possible value for the linear output range. The value can be a negative or a positive value and should be in the same engineering units as all *Linear Output* values.

#### Highest Linear Output

Enter the maximum possible value for the linear output range. The value can be a negative or a positive value and should be in the same engineering units as all *Linear Output* values.

#### Linear Output Reading

This is the ideal *Linear Output* for the specified *SqRt Input Reading* and excludes all measurement device errors and uncertainties.

## Help

### 10t/h flow to linear dp pressure

*I have a dp flow transmitter with a 0-250 mbar (field linear) range, and a DCS with a flow range of 0 – 15 t/h and a setpoint of 10 t/h, what mA reading do I have to simulate from field in linear?*

The linear reading to simulate would be 11.1111 mA

### SqRt to Linear % span formula

What is the formula for converting a square root reading as percentage of span to a linear reading?

The formula is as follows:

%LinSpan = (%SqRtSpan/100)² x 100

### % flow measured by dp transmitter to linear 4-20mA

*A dp type transmitter shows 30% of steam flow on the LCD display, how can I find the formula to convert to the linear milliamp reading?*

Assuming a typical milliamp signal of 4-20mA, the formula to use would be:

mA = (%Rdg/100)² x 16 + 4

Using this sqrt to linear signal converter enter the following values:

**Square Root Extraction Input**

- Reading = 30
- Lowest = 0
- Highest = 100

**Linear Output**

- Lowest = 4
- Highest = 20
- Answer = 5.44

The resulting sqrt 0-100% to linear 4-20mA conversion scale is as follows: