Question

Pressure transducers are commonly used to measure pressure by generating analog 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.2 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. For the given set of measurements, obtain the calibration curve in the form of P = aI + b, where a and b are constants, and calculate the pressure that corresponds to a signal of 10 mA. A) (Answer choice required)

Answer 1

To obtain the calibration curve in the form of P = aI + b, we need to use the given set of measurements and determine the values of constants a and b. These constants will allow us to calculate the pressure corresponding to a signal of 10 mA.

First, let's consider the given measurements. We have the electric signal (I) and the corresponding pressure (P) for various settings. By plotting these points on a graph, we can determine the relationship between the signal and pressure.

Once we have the graph, we can find the slope of the line, which represents constant 'a' in the equation P = aI + b. The slope is calculated as the change in pressure divided by the change in signal.

Next, we need to find constant 'b', which represents the y-intercept of the line. We can determine this by taking any point on the line and substituting its values into the equation P = aI + b. Solving for 'b' will give us the constant.

With the values of 'a' and 'b' determined, we can use the equation P = aI + b to calculate the pressure corresponding to a signal of 10 mA. We substitute the signal value of 10 mA into the equation and solve for pressure.

Please note that without the specific measurements and their corresponding values, we cannot provide the exact calibration curve and the pressure corresponding to a signal of 10 mA. The answer choice should be provided with the given set of measurements to proceed with the calculation.