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Usefull links

Walk through for Cramer's Rule http://www.college-cram.com/study/algebra/systems-of-equations/cramers-rule-3x3/
Instant solver for 3 simultaneous equations http://math.bd.psu.edu/~jpp4/finitemath/3x3solver.html

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The questions and where to go if your stuck.
Peter expects the assignment to be typed up in Word. I am unsure if you will be penalized, but this is his expectation.
1.     Neatly redraw your circuit, including all values.


2.     Using mesh analysis work out the currents flow through each of the three meshes. From these current values calculate the voltage of node A, and node B with respect to the ground node.

Fundamentals of Electronic Circuits 3rd edition
3.4 Mesh Analysis p93
3.5 Mesh Analysis with Current sources p98
http://www.calvin.edu/~svleest/circuitExamples/NodeVoltageMeshCurrent/soln2.nv.htm
Cramer's rule walk through http://www.college-cram.com/study/algebra/systems-of-equations/cramers-rule-3x3/

Q. Now I have the currents (i1,i2,i3) how do I find the voltages at A and B?

If you know the current flowing through a resister, you can work out the voltage across it. V+IR

Example 1 ..
30 ohm resister, voltage source in mesh 1 is 20 V and current in mesh 1 = 2.5 A. The voltage source and resister are in series with Node A.
V at A = 20 + 30 X (-2.5)  ... (-2.5 if the mesh current is in the opposite direction)

Example 2
30 ohm resister between Ground and Node A. Current in mesh 1 = 2.5 A. Current in mesh 2 = 1 A.
V at A = 30 (i1 - i2)
= 30( 2.5 - 1 )
= 30 V


3.     Find equivalents of sub-circuits A-G, B-G, A-B by applying Thevinin’s theory. Then place these equivalents together and determine the voltage at Node A, and Node B. Also deduce the mesh currents from your results for the voltages at Node A an Node B and other information in the circuit.

Fundamentals of Electronic Circuits 3rd edition
4.5 Thevenin's Theory p135
3.4 Mesh Analysis p93

http://www.opamp-electronics.com/tutorials/thevenins_theorem_1_10_07.htm
http://www.electronics-tutorials.ws/dccircuits/dcp_7.html

New Information from discussion with Peter
After you have calculated vA and vB using KCL and ohms law in the Thevenins Circuit, use the discovered values of vA and vB to work backward in the original circuit and show how the values of i1 12 and i3 can be rediscovered only using the voltages at vA and vB.

If you remember, in task 2 we knew  the currents (i1,i2,13) and the value of the resisters. Since we knew 2 of the 3 variables of ohms law (we knew I and R, so V=IR) we were able to calculate the Voltage. In Task 3 we we know vA and vB and the value of the resisters.. so now the only unknown is current. V=IR becomes I=V/R

4.     Build and test your circuit in PSpice or an appropriate program.
How to install Pspice //www.youtube.com/watch?v=xJdNSExq_gc
Help File http://dl.dropbox.com/u/23959785/PSpice%20Help%20File.PDF

5.     Enter your results into a table with three columns, one column containing the results from Mesh Analysis, one column containing the results from Thevenin’s theory, and one column containing the results from PSpice. The answers from all three columns should line up. The Table should be at the very end of your assignment and the columns and rows should be labelled clearly so that a marker can easily see and understand your results.
Something like this, perhaps....
It has been suggested that since we solve for current, it should be included

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You are a gentleman and a scholar.