Mesh Analysis III / Quiz 2

Quiz:

We began the class session with a quiz; the following is my table's attempt at solving it:

Mesh Analysis III Lab:

Today we did a lab based on circuit analyzation using the method of Mesh Analysis. Circuits containing several power sources can be incredibly difficult to analyze if done incorrectly, so this lab aimed to illustrate the usefulness of Mesh Analysis. We first analyzed a given circuit (pictured below) and solved for I1 and V1, then we built the circuit and experimentally determined their values. This is the circuit that we analyzed and constructed:

This is our analysis work using the method of Mesh Analysis:

Predicted values based on Mesh Analysis:

I1: -.260 mA

V1: 2.46 V

We then measured the resistance of all required elements of the circuit, constructed the circuit, and then measured the sought after values. The results were as follows:

^^^ Measured Resistance for the 1.8K Ohm Resistor ^^^

^^^ Measured Resistance for the 4.7K Ohm Resistor ^^^

^^^ Measured Resistance for the 6.8K Ohm Resistor ^^^

^^^ Measured Resistance for the 22K Ohm Resistor ^^^

^^^ Close-ups of the constructed circuit ^^^

^^^ Left: The measured voltage V1.    Right: The measured current I1. ^^^

Measured values:
I1: .260 mA
V1: 2.45 V

% Difference between the theoretical value of I1 and the measured value: 0%

NOTE: Although .260 mA was measured instead of -.260 mA, the answers are still the same; we simply switched the orientation of the leads on our voltmeter.

% Difference between the theoretical value of V1 and the measured value: .41%

As the data suggests, Mesh Analysis proved to be a tremendously effective and easy way to analyze circuits with several power sources. This proves to be the second simple way to analyze circuits of this nature that we've covered in class.