LAB #07: Mesh Analysis III

OVERVIEW:
The purpose of this lab was to analyze, build, and test a circuit with multiple sources. Once again, we use mesh analysis as our primary solving technique.

PROCEDURE:
Pre-Lab:
As illustrated in the ENGR 44 Lab book, use mesh analysis techniques to analyze the circuit in Figure 1 to determine the mesh currents; and predict the voltage difference V1 and current I1 using these mesh currents. Note: this is the exact same circuit used in my Nodal Analysis III lab.

Lab:

1. Construct the circuit given in the lab book, measure V1 and I1 using DMM.
2. Calculate the percent difference between your predicted values and measured values.

Physical Circuit (Zoomed In)

Physical Circuit (Zoomed Out)

ANALYSIS:
Pre-Lab:
Ideal Resitance Values:
R1 = 1.5 k
R2 = 4.7 k
R3 = 6.8 k
R4 = 20 k

Predicted Voltage and Current Values:
A) V1 = 2.394 V
B) I1 = 0.263 V

Pre Lab Calculations w/ Circuit Schematic

Lab:
Part 1:
Actual Resistance Values:

R1 = 1.20 k
R2 = 4.63 k
R3 = 6.73 k
R4 = 21.8 k

Actual Voltage and Current Values:
V1 = 2.34 V
I1 =  0.28 V

V1 measured on DMM

Part 2:
Percent error between predicted and measured voltage:
Error in V1: (|2.394 - 2.34| / 2.394)* 100 = 2.26%
Error in I1: (|0.263 - 0.28| / 0.263)* 100 = 6.46%

CONCLUSION:
Our measured values for the voltage difference V1 and current I1 matched relatively close to their corresponding predicted values. During the pre-lab, we used mesh analysis to predict the values of V1 and I1 and we found these values to be 2.394 V and 0.263 mA respectively. For the actual lab, we measured Vl = 2.34 V and I1 = 0.28 mA, which corresponds to a percent error of 2.26% and 6.46%  for V1 and I1 respectively. This uncertainty is likely due to the internal resistance of the DMM, which may have caused our measured voltage, current, and resistance values to be slightly off. Another possible source of error is our actual resistance values, which did not match up perfectly with their ideal values.