The temperature range of a transmitter is 0-200°F. The output signal range is 3-15 psig. What would be the expected output signal for an input temperature of 150°F?

The temperature range of a transmitter is 0-200°F. The output signal range is 3-15 psig. What would be the expected output signal for an input temperature of 150°F?

• A. 6 psig
• B. 9 psig
• C. 11.25 psig
• D. 12 psig

Answer: (D)

To determine the expected output signal for an input temperature of 150°F when the temperature range of the transmitter is 0-200°F and the output signal range is 3-15 psig, we first need to calculate the corresponding output signal based on the given input temperature. The temperature range spans from 0°F to 200°F, which is a span of 200°F. The output signal range spans from 3 psig to 15 psig, resulting in a total range of 12 psig (15 psig - 3 psig). To find the expected output signal for 150°F, the following formula can be applied: 1. Determine the input temperature's position within the overall range: - \( \text{Position} = \frac{\text{Input Temp} - \text{Min Temp}}{\text{Max Temp} - \text{Min Temp}} = \frac{150 - 0}{200 - 0} = \frac{150}{200} = 0.75 \). 2. Calculate the output signal position using the equivalent span: - \( \text{Output Span} = \text{Position} \times \text{Output Range} + \text{

To determine the expected output signal for an input temperature of 150°F when the temperature range of the transmitter is 0-200°F and the output signal range is 3-15 psig, we first need to calculate the corresponding output signal based on the given input temperature.

The temperature range spans from 0°F to 200°F, which is a span of 200°F. The output signal range spans from 3 psig to 15 psig, resulting in a total range of 12 psig (15 psig - 3 psig).

To find the expected output signal for 150°F, the following formula can be applied:

1. Determine the input temperature's position within the overall range:

• ( \text{Position} = \frac{\text{Input Temp} - \text{Min Temp}}{\text{Max Temp} - \text{Min Temp}} = \frac{150 - 0}{200 - 0} = \frac{150}{200} = 0.75 ).

2. Calculate the output signal position using the equivalent span:

• ( \text{Output Span} = \text{Position} \times \text{Output Range} + \text{