Pressure transducers are commonly used to measure pressure by generating analogue signals usually in the range of 4 mA to 20 mA or 0 V-dc to 10 V-dc in response to applied pressure. The system whose schematic is shown in Fig. 1 can be used to calibrate pressure transducers. A rigid container is filled with pressurized air, and pressure is measured by the manometer attached. A valve is used to regulate the pressure in the container. Both the pressure and the electric signal are measured simultaneously for various settings, and the results are tabulated in Table 1 i) For the given set of measurements, obtain the calibration curve in the form of P = aI + b, where a and b are constants ii) Determine the values of the constants a and b iii) calculate the pressure that corresponds to a signal of 10 mA and 20 mA. Table 1 Δh, mm 28.0 181.5 297.8 413.1 765.9 1027 1149 1362 1458 1536 I, mA 4.21 5.78 6.97 8.15 11.76 14.43 15.68 17.86 18.84 19.64
Pressure transducers are commonly used to measure pressure by generating analogue signals usually in the range of 4 mA to 20 mA or 0 V-dc to 10 V-dc in response to applied pressure. The system whose schematic is shown in Fig. 1 can be used to calibrate pressure transducers. A rigid container is filled with pressurized air, and pressure is measured by the manometer attached. A valve is used to regulate the pressure in the container. Both the pressure and the electric signal are measured simultaneously for various settings, and the results are tabulated in Table 1
i) For the given set of measurements, obtain the calibration curve in the form of P = aI + b, where a and b are constants
ii) Determine the values of the constants a and b
iii) calculate the pressure that corresponds to a signal of 10 mA and 20 mA.
Table 1
|
Δh, mm |
28.0 |
181.5 |
297.8 |
413.1 |
765.9 |
1027 |
1149 |
1362 |
1458 |
1536 |
|
I, mA |
4.21 |
5.78 |
6.97 |
8.15 |
11.76 |
14.43 |
15.68 |
17.86 |
18.84 |
19.64 |
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