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Answer :
To find the system pressure when the measured voltage at the sensor output is 3.0 Vdc, follow these steps:
1. Understand the Calibration: The pressure transducer is calibrated to output 0.50 Vdc for every 100 psig (pounds per square inch gauge). This means there is a direct relationship between voltage and pressure.
2. Determine the Voltage to Pressure Ratio: Since 0.50 Vdc corresponds to 100 psig, you can think of it as a ratio. For every 0.50 Vdc, there is an increase of 100 psig in pressure.
3. Find the Pressure for 1 Vdc: To find out what one volt corresponds to in terms of pressure:
[tex]\[
\frac{100 \text{ psig}}{0.50 \text{ Vdc}} = 200 \text{ psig per Vdc}
\][/tex]
So, each volt represents 200 psig.
4. Calculate the Pressure for 3.0 Vdc: Now, multiply the measured voltage by the pressure per volt:
[tex]\[
3.0 \text{ Vdc} \times 200 \text{ psig per Vdc} = 600 \text{ psig}
\][/tex]
Therefore, the system pressure when the measured voltage is 3.0 Vdc is 600 psig.
The correct answer is D. 600 psig.
1. Understand the Calibration: The pressure transducer is calibrated to output 0.50 Vdc for every 100 psig (pounds per square inch gauge). This means there is a direct relationship between voltage and pressure.
2. Determine the Voltage to Pressure Ratio: Since 0.50 Vdc corresponds to 100 psig, you can think of it as a ratio. For every 0.50 Vdc, there is an increase of 100 psig in pressure.
3. Find the Pressure for 1 Vdc: To find out what one volt corresponds to in terms of pressure:
[tex]\[
\frac{100 \text{ psig}}{0.50 \text{ Vdc}} = 200 \text{ psig per Vdc}
\][/tex]
So, each volt represents 200 psig.
4. Calculate the Pressure for 3.0 Vdc: Now, multiply the measured voltage by the pressure per volt:
[tex]\[
3.0 \text{ Vdc} \times 200 \text{ psig per Vdc} = 600 \text{ psig}
\][/tex]
Therefore, the system pressure when the measured voltage is 3.0 Vdc is 600 psig.
The correct answer is D. 600 psig.
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