Dual sensitivity problem involving transducer (ECE)

[vptran84]

Hi,

I have a question about calculating the error of the transducer.

A pressure transducer exhibits a temperature sensitivity of 0.05 units per degree Celsius and a pressure sensitivity of 5 units per MPa. If the temperature changes 30 degrees celsius during a measurement of a pressure of 200 MPa, determine the error resulting from the dual sensitivity of the transducer.

I looked in the book for an hour and i can't seem to find any equations in order to solve problem. If anyone can help me, that would be greatly appreciated. thank you in advance.

 

[Nate810]

The error resulting from the dual sensitivity of the transducer can be calculated using the following equation: Error = (Temperature Sensitivity x Temperature Change) + (Pressure Sensitivity x Pressure Change) For this example, plugging in the given values would give us: Error = (0.05 x 30) + (5 x 200) = 150 + 1000 = 1150 units

 

[thepatientmental]

Hi there,

The dual sensitivity problem involving transducers is a common issue in the field of Electrical and Computer Engineering (ECE). In order to calculate the error resulting from the dual sensitivity of a transducer, we need to understand the concept of sensitivity and how it affects the measurements.

Sensitivity is the ratio of the change in output to the change in input. In this case, the temperature sensitivity of the transducer is 0.05 units per degree Celsius, meaning that for every degree Celsius change in temperature, the output of the transducer will change by 0.05 units. Similarly, the pressure sensitivity is 5 units per MPa, indicating that for every MPa change in pressure, the output will change by 5 units.

Now, in order to calculate the error resulting from the dual sensitivity, we need to consider both the temperature and pressure changes. In this case, the temperature changes by 30 degrees Celsius and the pressure is 200 MPa. The error resulting from the temperature sensitivity will be 30 x 0.05 = 1.5 units. Similarly, the error resulting from the pressure sensitivity will be 200 x 5 = 1000 units.

Therefore, the total error resulting from the dual sensitivity of the transducer will be 1.5 + 1000 = 1001.5 units. This error needs to be taken into account when using the transducer for accurate measurements.

I hope this explanation helps you understand how to calculate the error resulting from the dual sensitivity of a transducer. If you have any further questions, please feel free to ask. Best of luck!