ECE202 Circuit with nominal values of resistors assessment

PARTI-BACKGROUND INFO

For this KI, we have decided to focus on a simple circuit from ECE202 Lab# 3. Circuit with nominal values of resistors is given in the figure below.

KNOWLEDGE INTEGRATION #1 (KI 1) PREP

To prep data for KI #1, each ECE202 Lab team has filled-in the provided excel spreadsheet and emailed it to their TA.

During lab session, each team has picked ten 10-k resistors and measured their values using a Hand- Held Digital Multi Meter (HH DMM) and using an HP Impedance Analyzer in C105 lab. Each team has recorded the following:

1. Ten measurements from HH DMM
2. Ten measurements from HP Impedance Analyzer

In the following step, teams have setup the circuit for measuring VT and RT four times, using different 10 k resistor, and measured Vrh and RTh. The following data that will be used in this KI was recorded: 3. Four measurement results for VTh

4. Four measurement results for RTh

As the final step, the TAs had taped one resistor on the whiteboard in C105 lab. We labeled this resistor as R202. Each student measured the value of this resistor using HH DMM and an HP Impedance Analyzer and entered the measured values in the table. Measured data has been recorded in two additional columns:

5. Measured value of R202 using HH DMM
6. Measured value of R202 using HP Impedance Analyzer

The purpose of (1) and (2) will be to analyze values of resistors, given manufacturing precision. The purpose of (3) and (4) will be to analyze how actual values of circuit variables differ from the nominal (ideal/designed) values.
The purpose of (5) and (6) is to analyze whether there is experimental error involved, given that different people had measured the same resistor, using different HH DMM and the same HP Impedance Analyzer.
Lastly, one half of the students have worked with 1% precision resistors and the other half of the students have worked with 5% precision resistors.
The R202 resistor had 1% precision, and was the same resistor for everyone.
Your TAs have combined measurement results of all students and organized them in an Excel spreadsheet

PART II-CIRCUITS REVIEW, SIMULATIONS, AND FLUCTUATIONS (YOUR ASSIGNMENT)

1. Calculate Thevenin Voltage V?h and Thevenin resistance RT for the given circuit, to the left of the two red dots.

2. Write a MATLAB script to read the values in the xlsx spreadsheet (you should use the MATLAB function xlsread) and compute the maximum and minimum values of all measured 10 k resistors.
Note: for a one-dimensional array A, you can get rid of all NaNs by using the MATLAB command A(isnan(A))=[];

3. Divide this segment [Rmin, Rmax] into 200 values and write MATLAB script that computes and plots RTh as a function of the value of 10 k resistor. Make sure to label your axes. You should have 201 values in your plot. What values of 10 k resistor in this range result in min and max value of RTH?

Note: To answer this question, assume that the 10 k resistor is the only one that changes value and keep the rest of the resistors at their nominal values.

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