What shunt resistor rating is required to create a 1-5V change on a 4-20mA signal?

To determine the appropriate shunt resistor rating that will produce a 1-5V change from a 4-20mA signal, we can use Ohm's Law, which states that voltage (V) equals current (I) multiplied by resistance (R), or ( V = I \times R ).

In this scenario, the 4-20mA signal corresponds to a range where 4 mA represents 1V and 20 mA represents 5V. Therefore, the total voltage change required is ( 5V - 1V = 4V ) corresponding to the change in current from 4mA to 20mA, which is an increase of ( 20mA - 4mA = 16mA ).

To find the resistance that achieves this voltage change, the calculation proceeds as follows:

1. The total current change is 16mA or 0.016A.

2. The voltage change desired is 4V.

3. Using Ohm's Law for the voltage across the resistor:

[

R = \frac{V}{I} = \frac{4V}{0.016A} = 250 , \