# Introduction to Process Control

Introduction to Process Control

Work the problems below. To receive any credit, you must show all work. You may submit your work in a word processing document or in a pdf file. Graphic files are not acceptable submissions. Your file submission document should be entitled Week1AYourGID (replace YourGID with your specific GID).

- A sensor has a linear resistance change of 100 to 195 ohms, as temperature changes from 20
^{o}â€“ 120^{o}C. Find the I/O relationship. - Using the equation for modeling a 1
^{st}order response, find the time it takes for a sensor to reach 90% of it final value given a final sensor output of 4.0V, an initial sensor output of 2.0V, and a time constant = 0.0025/s. - A 1000 ohm resistor is measured 10 times and the following readings were taken in the table below.
- Find the mean and standard deviation of the measurements.

Test # | Reading |

1 | 1016 |

2 | 986 |

3 | 981 |

4 | 990 |

5 | 1011 |

6 | 1011 |

7 | 997 |

8 | 1044 |

9 | 991 |

10 | 966 |

- Assuming a normal distribution, there is a 99.7% probability that the true value of the resistance falls between what two values?
- The following unbalanced Wheatstone Bridge is constructed. Calculate the output voltage across points C and D and the value of resistor R
_{4}required to balance the bridge circuit.

- Refer to the op amp below (Fig. 2.26 in your text). If V
_{in}= 0.5V, R_{1}= 10k ohm, and R_{2}= 25k ohm, calculate:

- the output voltage, V
_{out}, - the current in the 10k ohm resistor.
- What would be the use or purpose of such a circuit? And how do your results demonstrate that?

**PLEASE SEE ATTACHMENT**