Nodal and Mesh Analysis

Nodal and Mesh Analysis 

In this lab, we use the breadboard to set up the circuit and then we calculate V1 and V2 as shown in the picture below:

Using nodal analysis, we find from the picture above, we find the voltage of the node along with V1 and V2 {Voltages of the 22kΩ and 6.8kΩ resistor}. 

Once we calculated V1 and V2, we then proceed to set up the circuit and then record and measure V1 and V2 as shown below: 

Then calculating the % error for V1 and V2: 

The reason the recording shows positive is because we placed the red and black alligator clips at the opposite ends of the sides. The difference for V2 seems quite large. This may be because the voltage provided is not as much as we calculated.

For the lecture, we learned about mesh analysis and how it's applied to circuits: 

In the picture above, we find out what are the currents i1 and i2. To do so, we use mesh analysis which involves the equation around the first loop and second loop using the sum and difference of the voltages of the resistor or the battery supply. For the 20Ω resistor, we use i1-i2 for the first loop and i2-i1 for the second loop as current for the 20Ω resistor. 

This picture involves the same thing as the previous picture. The equation was set up based around the three loops. With this, we may use matlab to find the currents of the first, second, and third loop. 

Summary

In the lab, we use node analysis to calculate the voltage. Then in lab, we set up the circuit and record the voltage. Afterwards in lecture, the professor taught us mesh analysis which involves finding either current, resistance, or voltage.