0–10 V Scaling Calculator

0–10 V Scaling Formula

A linear 0–10 V signal represents the full span of the configured engineering range.

Where:

• LRV = Lower Range Value
• URV = Upper Range Value
• V = measured signal voltage

Worked Example: 0–10 V Representing 0–100%

Suppose a controller uses a 0–10 V signal to represent 0–100%.

You measure 7.5 V at the signal terminals.

Therefore:

Because the signal is 75% of the 0–10 V span, it represents 75% of the configured engineering range.

HVAC Example: 0–10 V Damper Command

A common building automation application uses a 0–10 V output from a controller to command a damper actuator.

If the controller sends:

If you measure 6.8 V, the signal represents approximately 68% of the output range, assuming the actuator is configured for a standard 0–10 V command.

This is a useful distinction when troubleshooting: the voltage tells you what the controller is commanding, but it does not necessarily prove that the physical actuator has reached that position.

0–10 V Reference Points

Using 0–10 V Scaling for Troubleshooting

Measuring the actual voltage at an analog signal can help determine whether a controller is producing the expected command.

For example, suppose a BAS controller is commanding a valve to 80%. A properly configured 0–10 V output should produce approximately:

If you measure 8 V at the controller but the valve is not responding correctly, the problem may be downstream of the controller. Possible areas to investigate include wiring, actuator configuration, power supply, actuator feedback, or mechanical problems.

Command Signal vs. Actual Position

One of the most important concepts when troubleshooting analog controls is that the signal represents a command, not necessarily the physical result.

For example, 8 V may represent an 80% command to a damper actuator. It does not automatically mean the damper is physically 80% open.

If the system provides position feedback, compare the command signal with the feedback signal to determine whether the actuator is responding correctly.

Common 0–10 V Scaling Mistakes

1. Assuming every 0–10 V signal means 0–100%. The signal can represent temperature, pressure, speed, flow, position, or another engineering range.
2. Assuming 5 V always means 50% of the physical process. It means 50% of the configured signal range. The physical equipment may have different behavior.
3. Measuring the wrong reference point. Voltage is measured between two points. Verify the signal common/reference used by the equipment.
4. Ignoring input impedance and loading. A receiving device should be compatible with the output device and its specified signal range.
5. Assuming a correct command means the actuator is correct. Always distinguish between the controller's command and the equipment's actual response.

0–10 V vs. 4–20 mA

Both signals can represent a linear engineering range, but they behave differently electrically.

The best signal type depends on the equipment, application, wiring, distance, environmental conditions, and system design.

Related Calculators

• 4–20 mA Scaling
• 4–20 mA to Voltage
• Analog Signal Scaling
• Voltage Divider
• PLC Scaling Guide

Engineering Note

This calculator assumes a linear 0–10 V relationship between the configured Lower Range Value and Upper Range Value. Always verify the actual signal range, polarity, reference, input/output configuration, and manufacturer documentation when troubleshooting a control system.