Chapter 5: Laws, Theorems, and Methods used in network analysis PDF

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Summary

These are reading materials for Basic Electrical Engineering, by sir Jan Michael....

Description

Chapter 5: Laws, Theorems, and Methods used in network analysis Description: Kirchhoff’s law, Mesh Analysis, Nodal Analysis, Superposition Theorem, Thevenin’s Equivalent Circuit, Norton’s Equivalent Circuit, Maximum power transfer. Objectives: After completing the module, the students are expected to: - Solve a given circuit in all laws, theorems, and methods discussed. Duration: Week 8 to Week 12 Contents: Phase 1: Read, Understand, & Watch & Listen Students are expected to choose from the tables below considering their classification and preferences. 3Ps (Paper, Pencil, & Phone)

-Modules that will be provided are complete with illustration, step-bystep solution & discussion.

Phase 2: Test yourself 3Ps (Paper, Pencil, & Phone)

-Series of sample problems and correct answers will be given. Try to answer the given problems and compare your answers to the correct one.

3Ns (Network slow, Needs Combi-Modes, & Neutral Students) -A pdf copy of the module will be sent via email that the student will provide. The module copy will be the same as 3Ps category. -For the internet availability, the student will be provided a link and can join the online live discussion anytime.

3Ws (Willing, With Fast Internet, Wean-not students) -PowerPoint presentation of the lesson will be discussed via Google Meet or another online platform. Illustration and solutions will also be discussed live via mentioned online platform.

3Ns (Network slow, Needs Combi-Modes, & Neutral Students) - Series of sample problems and correct answers will be given. Try to answer the given problems and compare your answers to the correct one. - For online availability, a sample problem will be

3Ws (Willing, With Fast Internet, Wean-not students) - A sample problem will be flashed and the students will be given time to try and answer the posted question or problem. After, the instructor will discuss live the and give the complete solution and

flashed and the students will be given time to try and answer the posted question or problem.

correct answer.

After, the instructor will discuss live the and give the complete solution and correct answer.

Phase 3: Activity or Homework 3Ps 3Ns (Paper, Pencil, & Phone) (Network slow, Needs Combi-Modes, & Neutral Students) -Activity or Homework - Activity or Homework are included in the are included in the module. The correct module. The correct answer and complete answer and complete solution will be included solution will be included in the (2nd) second in the (2nd) second module. module. -For online, activity will be given 15 to 30 minutes before class dismissal. For limited time, activity will be considered assignment and must be submitted on the next class schedule.

3Ws (Willing, With Fast Internet, Wean-not students) - Activity will be given 15 to 30 minutes before class dismissal. For limited time, activity given will be considered assignment and must be submitted on the next class schedule.

Introduction

Kirchhoff’s Law Ohm’s law by itself is not sufficient to analyze circuits. However, when it is coupled with Kirchhoff’s two laws. We have sufficient, powerful set of tools for analyzing a large variety of electric circuits. Kirchhoff’s laws were first introduced in 1847 by the German physicist Gustav Robert Kirchhoff’s (1824-1887). These laws are formally known as Kirchhoff’s Current Law (KCL) and Kirchhoff’s Voltage Law (KVL). Kirchhoff’s Current Law This states that the sum of the currents entering a node is equal to the sum of the currents leaving the node.

i1 + i3 + i4 = i2 + i5

Kirchhoff’s Voltage Law (KVL) This states that the algebraic sum of all voltages around a closed path (or loop) is zero.

- v1 + v2 + v3 – v4 +v5 = 0 Steps in solving using Kirchhoff’s Law 1. Name all the nodes to prefer variable. 2. Count the number of nodes and subtract it by 1, the difference obtained is the number of equations you need to generate using KCL. 3. Count the number of loops. The number of loops is equal to the number of equations you need to generate using KVL. 4. Assign branch circuit (current) direction to all branches of the given circuit. Note that any direction assigned will do. Negative answer indicates wrong direction was assigned but correct magnitude. 5. Assign loop direction to all closed loops of the given circuit. Choose between Clockwise or Counter-clockwise direction. 6. Start solving the circuit using KCL and KVL. 7. After all equations were generated. Proceed to solving simultaneous equation using algebras by elimination, by substitution, or using matrix. Sample Problems with Solution: 1. Determine all the branch currents of the given circuit and compute for vo....