EET310_Lab3_Charles Haskett

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EET310

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Electrical Engineering

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Dec 6, 2023

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EET310 Circuit Analysis Instructor: Neeta Tivare Lab 3 Mesh Current Analysis Student Name: Charles Haskett Honor Pledge: I pledge to support the Honor System of ECPI. I will refrain from any form of academic dishonesty or deception, such as cheating or plagiarism. I am aware that as a member of the academic community, it is my responsibility to turn in all suspected violators of the honor code. I understand that any failure on my part to support the Honor System will be turned over to a Judicial Review Board for determination. I will report to the Judicial Review Board hearing if summoned.

2 Charles Haskett Date:

3 Table of Contents ABSTRACT ................................................................................................................................................ 3 INTRODUCTION ....................................................................................................................................... 3 PROCEDURE ............................................................................................................................................. 4 Part I: Design a circuit in Multisim ........................................................................................................... 4 Part II: Calculate Currents in Loops of the Circuit .................................................................................... 4 ANALYSIS & RESULTS ............................................................................................................................ 5 Calculations ............................................................................................................................................. 5 Questions ................................................................................................................................................. 5 Figures ..................................................................................................................................................... 6 CONCLUSION ........................................................................................................................................... 7 REFERENCES ............................................................................................................................................ 8

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4 ABSTRACT In this lab the student will use the Multisim software to verify their calculations of the Mesh Current Analysis of a circuit. They will observe the circuit and determine the number of loops within the circuit to inform the student how many calculations they will be required to calculate. The student will use KVL and Ohm’s Laws’ to calculate the current within each loop during their calculations into the Mesh Current Analysis. I NTRODUCTION Mesh current analysis provides another general procedure for analyzing circuits, using mesh currents as the circuit variables. It is convenient and reduces the number of equations that must be solved simultaneously. Recall that a loop is a closed path with no node passed more than once. A mesh is a loop that does not contain any other loop within it. Loop currents are not actual physical currents. If you’re getting a negative value that just means the current is going in the opposite direction. Kirchhoff’s voltage law, Ohms law is used in the loop current method.

5 PROCEDURE Components needed: 1. Multisim Part I: Design a circuit in Multisim 1. Construct the circuit show in Figure1. Figure 1: Circuit. Part II: Calculate Currents in Loops of the Circuit 1. Determine the number of loops in the circuit shown in Figure 1. 2. Identify the flow of current in each loop for the calculations. 3. Determine how many equations will be required for calculating the Mesh Current Analysis 4. Apply Kirchhoff’s Voltage Law (KVL) for each loop in the circuit in Figure 1. 5. Solve the resultant simultaneous linear equations. 6. Algebraically combine loop currents that are common in each branch of the circuit in Figure 1. 7. Using Multisim measure the current flowing through each branches of the circuit in Figure 1, write the results and take a screenshot of the results and place them below.

6 ANALYSIS & RESULTS Calculations Loop One: 470ΩI A + 220Ω (I A + I B ) = 10V 470ΩI A + 220ΩI A + 220ΩI B = 10V 690ΩI A + 220ΩI B = 10V Loop Two: 820ΩI B + 220Ω (I B + I A ) = 5V 820ΩI B + 220ΩI B + 220ΩI A = 5V 1040ΩI A + 220ΩI B = 5V [ 690 220 220 1040 ] [ I A I B ] = [ 10 5 ] 2 by 2 matrix Matrix A Matrix B 690 220 10 220 1040 5 INV of A sol of X 0.00155 4 - 0.00033 0.0139 - 0.00033 0.00103 1 0.0018 7 Loop One: 13.9 mA Loop Two: 1.87 mA Questions How many loops are in the circuit in Figure 1? There are two loops within the circuit. How many loop currents are in the circuit of Figure 1? There are two current loops one for each loop in the circuit. How many equations will be required? This will require two calculations to determine the current for each loop.

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7 Figures Figure 2: Measured Currents of each Branch in the Circuit.

8 CONCLUSION In this lab I used Multisim to observe the circuit that was provided. I observed that the circuit had two loops that met through the R 2 branch of the circuit. With this information in mind I observed the polarity of the V S source for each loop to determine the flow of the current through the loop. After all the information was observed and gathered from the circuit I used KVL to determine the voltage drop across each branch in the loops. I then used the information for each loop and entered the data into an excel spreadsheet to obtain the current that was flowing through each loop and branch of the circuit. I applied ampere meters to each of the branches in the circuit to verify my calculations. Both my calculations and the reading of the ampere meters in Multisim matched.

9 REFERENCES Floyd, T. L. Principles of Electric Circuits. [VitalSource Bookshelf]. Retrieved from https://bookshelf.vitalsource.com/#/books/9780134880068/ (2017) National Instruments Multisim (V 14.1) [Windows]. Retrieved from http://www.ni.com/multisim/

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