Thursday, March 12, 2015

7 - Mesh Analysis

INTRO: Today we covered another analysis method, Mesh Analysis. This method uses the concepts of mesh's, loops with no loops within. We deal with currents and use KVL, instead of KCL and using voltages which Nodal uses. It is ideal for circuit with many elements in series.Coupled with Nodal Analysis, it gives us two strong methods to evaluate circuits.


 Here we tried our first attempt at mesh analysis. Drawing our loops, and writing out our KVL equations for both we are able to get a system of equations. Just like nodal analysis, we plug this system into FreeMAT to solve for the variable current.







 Here we tested our knowledge of mesh analysis with a group quiz. We moved it up to 3 loops. The only tricky part was when you have two currents going against eachother on a shared resistor.

LAB: Mesh Analysis III
In this lab we are going to build a circuit with several elements.Just like we did above, we will analyze the circuit with mesh Analysis.

  In the pre-lab we used mesh analysis to determine the values of our circuit elements. It was still a bit difficult since it was a new concept, but we arrived at some numbers.
 

Here is a picture of our circuit

Below is the Pre-lab. We calculated the current and voltage and compared it to the measured value with the percent error. It was relatively close, with the highest discrepency being just 3.8%


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