Troubleshooting Mesh Analysis on the Ti-nSpire CAS Calculator

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Discussion Overview

The discussion revolves around troubleshooting the use of mesh analysis on the Ti-nSpire CAS calculator for solving circuit equations. Participants are exploring methods to input and solve equations derived from mesh analysis, focusing on both matrix and algebraic approaches.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant presents their mesh analysis equations and expresses difficulty in using the Ti-nSpire CAS calculator to solve them.
  • Another participant suggests using the "Solve system of equations" feature instead of matrices, implying it may be simpler for the user.
  • A different participant points out a potential error in the conversion of equations to matrix form, specifically regarding the complex term.
  • There is a recommendation to use the RREF (Reduced Row Echelon Form) command on the matrix, with a note that certain models of calculators may not handle complex matrix math.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best method to solve the equations, with differing opinions on the use of matrices versus algebraic solutions and the correctness of the equations presented.

Contextual Notes

There are unresolved issues regarding the accuracy of the equations and the capabilities of different Ti-nSpire models in handling complex numbers in matrix operations.

brickford5
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I have just gotten my new Ti-nspire CAS calculator and seem to be stumped. I have created my two equations from my mesh analysis of a circuit.

Loop I2: I1(2+j2)+I2(8-j2)=12
Loop I1: I1(-j2)+I2(j-4)=0

I know I can solve this by hand but would like to learn to use my nspire. Any direction would be greatly appreciated, I feel I have tried everything I can think of and can't seem to get the result.

{{2+2i, -2i}, {8-2i, 12+i}} * {{I1, I2} = {{12, 0}} - I think this is right?

------------------------------------
Some things I've tried:

- Using dotP:
Creating the matrix of coefficients {{2+2i, -2i}, {8-2i, 12+i}}, taking the inverse (^-1) and dot-ting (dotP{}) it with [12,0] - I get 'Error Invalid data type'​

- Using cSolve:
Input: cSolve(x(2+i2)+y(8-2i)=12 and x(-i2)+y(i-4)=0,x,y​
Output: x=c6 and y=c7 and (then repeats equations)​

I reviewed numerous youtube videos and instructions but couldn't seem to find a solution the resulted in the right answer. I am trying to find I2 and did the hand calculations to get I2=1.76-1.06j

Thanks in advance to any input!
 
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I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?
 
Don't use matrix. Too tedious! Use the "Solve system of equations" feature.

For this basic circuit it would look like this! You access this feature by clicking menu, then 3 (algebra) then 7

a874c6acf2.jpg
 
You have an error in your equation from your first set of equations to your Matrix form (j-4) does not equal (12+J).

On using matrix features, have you tried your RREF (Reduced Row Echelon Form) the 2X3 matrix of your circuit ie the last column is your result. This command will reduce your matrix to provide an answer for I1 and I2 in the last column. Should work unless your Tinspire is based upon the Ti-84 (non-CAS model). The Ti-83/84 cannot handle complex matrix math. Not sure about the TinSpire NON-CAS calculator either.
 

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