To do this, we will apply a current source ( i test) between the terminals of in

Question

To do this, we will apply a current source (itest) between the terminals of interest, and we will find the voltage between these terminals (vtest) using node voltage analysis. Then, the equivalent resistance will be given by Req= vtest/itest . For example, the figure shows a 1-A current source applied between node 1 and the reference. In this case, vtest will be given by v1, which can be found using node voltage analysis. To find the remaining equivalent resistance, the source will need to be moved between the appropriate nodes(node2 and reference node), and node voltage analysis will need to be repeated.

You are required to turn in a written report which must have three parts.

A. Theoretical analysis: For both cases, write the system of equations for node voltage analysis in the form GV=I. Note that you can obtain the matrices G and I by inspection, and that matrix G will be the same in both cases.

B. Computer analysis: Use any computer program (e.g., MATLAB) to solve the system of equations. Your report must include your code, which should show 1) the definition of the matrices G and I, 2) a command for solution of the system, and 3) a print out of the node voltages V.

C. Discussion of the results: 1) Use your results from part B to give the values of the three equivalent resistances. 2) Explain briefly why matrix G will be the same in all three cases. 3)(For extra points) It is possible to check the correctness of the value of the equivalent resistance between node 1 and the reference theoretically. To do this, inspect the node voltages you found in part B. If two node voltages are the same, we are allowed to connect the corresponding nodes with short circuits. All voltages and currents in the circuit will remain unchanged. Therefore, draw the circuit of the figure again, without the current source, and adding the previously mentioned short circuits. Use parallel/series resistance combinations to verify the value of the equivalent resistance between node 1 and the reference.

If you use MATLAB, there are two ways to solve the system of equations, after you define G and I:

1. Backslash operator (Gaussian elimination): V=GI

2. Inverse matrix: V=inv(G)*I

Explanation / Answer

does anyone got an answer?

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