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

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

• A. 500 ohms
• B. 250 ohms
• C. 100 ohms
• D. 1000 ohms

Answer: (B)

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 \, \

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 , \