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ACTIVITY No. 7 Mesh Analysis ОBJECTIVE The study of mesh analysis is the objective of this exercise, specifically its usage in multi-source DC circuits. Its application to finding circuit currents and voltages will be investigated. THEORY OVERVIEW Multi-source DC circuits may be analyzed using a mesh current technique. The process involves identifying a minimum number of small loops such that every component exists in at least one loop. Kirchhoff's Voltage Law is then applied to each loop. The loop currents are referred to as mesh currents as each current interlocks or meshes with the surrounding loop currents. As a result there will be a set of simultaneous equations created, an unknown mesh current for each loop. Once the mesh currents are determined, various branch currents and component voltages may be derived. EQUIPMENT (1) Adjustable DC Power Supply (1) Digital Multimeter (1) 4.7 kQ (1) 6.8 k2 (1) 10 kQ (1) 22 kQ (1) 33 k2 SCHEMATICS A B R4 R1 R2 R3 R5 El E2

ACTIVITY No. 7 Mesh Analysis ОBJECTIVE The study of mesh analysis is the objective of this exercise, specifically its usage in multi-source DC circuits. Its application to finding circuit currents and voltages will be investigated. THEORY OVERVIEW Multi-source DC circuits may be analyzed using a mesh current technique. The process involves identifying a minimum number of small loops such that every component exists in at least one loop. Kirchhoff's Voltage Law is then applied to each loop. The loop currents are referred to as mesh currents as each current interlocks or meshes with the surrounding loop currents. As a result there will be a set of simultaneous equations created, an unknown mesh current for each loop. Once the mesh currents are determined, various branch currents and component voltages may be derived. EQUIPMENT (1) Adjustable DC Power Supply (1) Digital Multimeter (1) 4.7 kQ (1) 6.8 k2 (1) 10 kQ (1) 22 kQ (1) 33 k2 SCHEMATICS A B R4 R1 R2 R3 R5 El E2

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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ACTIVITY No. 7 Mesh Analysis ОВJЕСTIVE The study of mesh analysis is the objective of this exercise, specifically its usage in multi-source DC circuits. Its application to finding circuit currents and voltages will be investigated. THEORY OVERVIEW Multi-source DC circuits may be analyzed using a mesh current technique. The process involves identifying a minimum number of small loops such that every component exists in at least one loop. Kirchhoff's Voltage Law is then applied to each loop. The loop currents are referred to as mesh currents as each current interlocks or meshes with the surrounding loop currents. As a result there will be a set of simultaneous equations created, an unknown mesh current for each loop. Once the mesh currents are determined, various branch currents and component voltages may be derived. EQUIPMΕNT (1) Adjustable DC Power Supply (1) Digital Multimeter (1) 4.7 k2 (1) 6.8 k2 (1) 10 k2 (1) 22 kQ (1) 33 k2 SCHEMATICS A B R4 R1 R2 R3 E1 E2 Figure 7.1
Transcribed Image Text:ACTIVITY No. 7 Mesh Analysis ОВJЕСTIVE The study of mesh analysis is the objective of this exercise, specifically its usage in multi-source DC circuits. Its application to finding circuit currents and voltages will be investigated. THEORY OVERVIEW Multi-source DC circuits may be analyzed using a mesh current technique. The process involves identifying a minimum number of small loops such that every component exists in at least one loop. Kirchhoff's Voltage Law is then applied to each loop. The loop currents are referred to as mesh currents as each current interlocks or meshes with the surrounding loop currents. As a result there will be a set of simultaneous equations created, an unknown mesh current for each loop. Once the mesh currents are determined, various branch currents and component voltages may be derived. EQUIPMΕNT (1) Adjustable DC Power Supply (1) Digital Multimeter (1) 4.7 k2 (1) 6.8 k2 (1) 10 k2 (1) 22 kQ (1) 33 k2 SCHEMATICS A B R4 R1 R2 R3 E1 E2 Figure 7.1
PROCEDURE 1. Consider the dual supply circuit of Figure 7.1 using E1 = 6 volts, E2 = 12 volts, R1 = 4.7k, R2 = 6.8 k, R3 = 10 k, R4 22 k and R5 = 33 k. This circuit will require three loops to %3D describe fully. This means that there will be three mesh currents in spite of the fact that there are five branch currents. The three mesh currents correspond to the currents through R1, R2, and R4. 2. Using KVL, write the loop expressions for these loops and then solve to find the mesh currents. Note that the voltages at nodes A and B can be determined using the mesh currents and Ohm's Law. Compute these values and record them in Table 7.1. 3. Build the circuit of Figure 7.1 using the values specified in step four. Measure the three mesh currents and the voltages at node A, node B, and from node A to B, and record in Table 7.1. Be sure to note the directions and polarities. Finally, determine and record the deviations Table 7.1. SIMULATION Build the circuit of Figure 7.1 in a simulator. Using the DC Operating Point simulation function, determine the currents at each resistor, and compare these to the theoretical and measured values recorded in Table 7.1. DATA TABLES Parameter Theory Experimental Deviation IRI I2 VA VB VAB Table 7.1 QUESTIONS 1. Do the polarities of the sources in Figure 7.1 matter as to the resulting currents? Will the magnitudes of the currents be the same if one or both sources have an inverted polarity? 2. In circuit of this exercise the negative terminals of the sources are connected to ground. Is this a requirement for mesh analysis? What would happen to the mesh currents if the positions of E1 and R1 in Figure 7.1 were swapped?
Transcribed Image Text:PROCEDURE 1. Consider the dual supply circuit of Figure 7.1 using E1 = 6 volts, E2 = 12 volts, R1 = 4.7k, R2 = 6.8 k, R3 = 10 k, R4 22 k and R5 = 33 k. This circuit will require three loops to %3D describe fully. This means that there will be three mesh currents in spite of the fact that there are five branch currents. The three mesh currents correspond to the currents through R1, R2, and R4. 2. Using KVL, write the loop expressions for these loops and then solve to find the mesh currents. Note that the voltages at nodes A and B can be determined using the mesh currents and Ohm's Law. Compute these values and record them in Table 7.1. 3. Build the circuit of Figure 7.1 using the values specified in step four. Measure the three mesh currents and the voltages at node A, node B, and from node A to B, and record in Table 7.1. Be sure to note the directions and polarities. Finally, determine and record the deviations Table 7.1. SIMULATION Build the circuit of Figure 7.1 in a simulator. Using the DC Operating Point simulation function, determine the currents at each resistor, and compare these to the theoretical and measured values recorded in Table 7.1. DATA TABLES Parameter Theory Experimental Deviation IRI I2 VA VB VAB Table 7.1 QUESTIONS 1. Do the polarities of the sources in Figure 7.1 matter as to the resulting currents? Will the magnitudes of the currents be the same if one or both sources have an inverted polarity? 2. In circuit of this exercise the negative terminals of the sources are connected to ground. Is this a requirement for mesh analysis? What would happen to the mesh currents if the positions of E1 and R1 in Figure 7.1 were swapped?
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