4-20ma Calculation Formula

5 min read Jul 26, 2024
4-20ma Calculation Formula

4-20mA Calculation Formula: A Comprehensive Guide

The 4-20mA current loop is a widely used communication protocol in industrial automation, particularly in process control and measurement applications. It's essential to understand the calculation formula behind this protocol to ensure accurate and reliable data transmission. In this article, we'll delve into the 4-20mA calculation formula, its components, and how to apply it in real-world scenarios.

What is 4-20mA?

The 4-20mA current loop is a analog signaling protocol used to transmit data between devices, such as sensors, transmitters, and controllers. It operates on a 2-wire connection, where a single pair of wires carries both power and signal information. The protocol uses a current range of 4-20mA to represent a specific range of values, typically 0-100% or 0-10V.

The Calculation Formula

The 4-20mA calculation formula is used to convert the measured value into a corresponding current output. The formula is as follows:

I = (V * R) / (R1 + R2)

Where:

  • I is the output current in mA (milliamps)
  • V is the measured voltage or signal value
  • R is the total resistance of the circuit
  • R1 and R2 are the resistances of the transmitter and receiver, respectively

Components of the Formula

Measured Voltage (V)

The measured voltage is the signal value obtained from the sensor or transmitter. This value can be in the form of voltage, current, temperature, pressure, or any other physical parameter.

Total Resistance (R)

The total resistance of the circuit includes the resistances of the transmitter, receiver, and any other components in the circuit.

Resistance of Transmitter (R1)

The resistance of the transmitter is typically fixed and known. It's usually specified in the device datasheet.

Resistance of Receiver (R2)

The resistance of the receiver is also fixed and known. It's usually specified in the device datasheet.

Applying the Formula

To illustrate how the formula works, let's consider an example:

Suppose we have a temperature sensor with a range of 0-100°C, and we want to transmit this signal using a 4-20mA current loop. The transmitter has a resistance of 250Ω, and the receiver has a resistance of 500Ω. The total resistance of the circuit is 750Ω.

If the measured temperature is 50°C, the corresponding voltage output from the sensor is 5V. To calculate the output current, we can plug in the values into the formula:

I = (5V * 750Ω) / (250Ω + 500Ω) = 12mA

This means that the output current from the transmitter would be 12mA, which corresponds to a temperature value of 50°C.

Conclusion

The 4-20mA calculation formula is a fundamental concept in industrial automation, enabling accurate and reliable data transmission between devices. By understanding the components of the formula and how to apply it, you can ensure that your systems operate efficiently and effectively. Whether you're working with temperature sensors, pressure transmitters, or other devices, mastering the 4-20mA calculation formula is essential for success in industrial automation.

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