Basic Electric Circuits Course

Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 2
References
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Session 1: Focus
 Course Introduction
 Introduction to Electric Circuits
 System of Units
 What is an Electric Circuit?
 Electric Current
 Electric Potential
 Flashlight Circuit
 Power
 Home Work Problems

Session 2: Focus
 Simple Circuit Elements
 Independent Voltage Sources
 Independent Current Sources
 Dependent Voltage Sources
◦ Voltage-controlled voltage source
◦ Current-controlled voltage source
 Dependent Current Sources
◦ Current-controlled current source
◦ Voltage-controlled current source
 Solving example problems

Session 3: Focus
 A Passive element – Resistor
 Ohm’s Law
 Resistor Colour Codes
 Power Absorbed by Resistors

Session 4A: Focus
 Power Absorption by Resistors
 Conductance (G)
 Lumped-parameter Network
 Node, Paths, Loops and Branches

Session 4B: Focus
 Example: Node, Paths, Loops and Branches
 Kirchhoff’s Current Law (KCL)
 KCL Problems

Session 5: Focus
 Kirchhoff’s Voltage Law (KVL)
 KVL Problems

Session 6: Focus
 Some more KVL problems
 Simplification of Circuits
 Combining Sources
◦ In Series (independent voltage sources)
◦ In Parallel (independent current sources)
◦ Example problems

Session 7: Focus
 Combining Resistors
◦ In Series
◦ In Parallel
◦ Example problems
 Voltage Division
◦ Examples
 Current Division
◦ Examples

Session 8A: Focus
 Current Division
◦ Examples
 Basic Nodal Analysis
◦ Nodes and reference nodes
 Nodal Analysis
◦ Example
◦ Solve using Nodal analysis
 Writing KCL Equations
 Example Problems

Session 8B: Focus
 Example Problems
◦ Writing Nodal Equations
◦ Nodal Analysis
 Summary of Steps: Nodal Analysis
 Super Node
◦ Example with Super Node

Session 9A: Focus
 Mesh Analysis
◦ Introduction
◦ Planar Circuit
◦ Definition of Mesh
◦ Mesh Currents
 Mesh Analysis
◦ Example Problems

Session 9B: Focus
 Circuits with current sources
◦ On the perimeter of meshes
 Summary of Steps
◦ For Mesh Analysis
 Circuits with current sources
◦ In between meshes
 Supermesh
◦ Example with Supermesh

Session 9C: Focus
 Solving Problems
◦ Mesh Analysis
◦ Nodal Analysis

Session 10: Focus
 Handy Circuit Analysis Techniques
 Linearity Definition
 Linear Circuit Elements (learnt so far)
◦ Independent and dependent Sources (voltage and
current)
◦ Resistor
 Linear Circuits
 Superposition
◦ Example
◦ Problem

Session 11A: Focus
 Voltage Source
◦ Ideal model
◦ VL vs IL graph
◦ Model of a Practical Source
◦ Why is there a Series Resistance?
 Backup Power Switching – An analogy

Session 11 B: Focus
 Practical Current Source
◦ Ideal model of a Current Source
◦ Model of a Practical Source

Session 11 C: Focus
 Equivalent Sources
 Source Transformation
◦ Example
◦ Problems
 Summary of Source Transformations
 Home Work Problem

Session 12A: Focus
 Partial Analysis of a Circuit
 Thévenin’s and Norton’s Equivalent Circuit
 Thévenin’s Theorem
 Norton’s Theorem
 Example problems

Session 12B: Focus
 Thévenin’s and Norton’s Equivalent Circuit
◦ Example Problem 1

Session 12C: Focus
◦ Example Problem 2
 Norton’s Theorem
 Home Work problem

Session 12D: Focus
 Thévenin’s Equivalent Circuits
◦ For Circuits with Dependent sources
 Example problems
 Home Work problems

Session 13: Focus
 Maximum Power Transfer
◦ Finding Maximum Value
◦ Quotient Rule of Derivative
◦ Jacobi’s Law
◦ Example Problem
◦ Home Work Problem

Session 14A: Focus
 Delta-Wye Conversions
◦ Derivation

Session 14B: Focus
 Solving Problems using
◦ Maximum Power Transfer
◦ Delta-Wye Conversions

Session 15A: Focus
 What is a Capacitor?
 Nature’s Huge Capacitor
 Construction of Capacitors
◦ Unit of Capacitor (Farad)
 Dielectric Materials

Session 15B: Focus
 Charging of Capacitor Explained
 Capacitor Properties
◦ Capacitor Value (in terms of construction parameters)
◦ Electric Field and Voltage
 Ideal Capacitor Model

Session 15C: Focus
 Ideal Capacitor Model
◦ Conduction Vs Displacement Currents
◦ Problem 1
◦ Voltage-Current Relationship
◦ Phase difference between V-I of a Capacitor
◦ Energy Stored in a Capacitor

Session 15D: Focus
 Integration Time-line
 Derivations and Problems Equivalent Capacitance:
◦ Capacitors in Series
◦ Capacitors in Parallel
 Voltage across capacitors
 Current flowing through capacitor
 Fundamental Forces of Nature
 Introduction to Magnetic Fields

Session 16A: Focus
 Important Characteristics of an Ideal Capacitor
 Fundamental Forces of Nature
 Electromagnetic Force
◦ Coulomb’s Law
◦ Right hand rule
 Three Different Scenarios
◦ Flux(B), Current (I) and Force (F)
 Electromagnetic Induction
◦ Force between current carrying conductors
 Inductor Samples

Session 16B: Focus
 Electromagnetic Induction
◦ Force between current carrying conductors
 EMF Vs Potential Difference
 Inductors
◦ V-I relationship
◦ Energy Stored in an Inductor
◦ Induced emf (Back-emf)
◦ Reactance or Reluctance (X)

Session 16C: Focus
 Inductors
◦ L in terms of Construction parameters
◦ Windings
◦ Limitations of Inductor
◦ Energy Stored in an Inductor
 Problems

Session 16D: Focus
 Idea Inductors Characteristics
 Combinations of Inductors
◦ In Series
◦ In Parallel
 Home work problem

Session 16E: Focus
 Linearity
◦ Are Capacitors and Inductors Linear?
◦ Example

Session 16F: Focus
 Duality
◦ What is a dual circuit?
◦ Building the Dual of a circuit (Example 1)
◦ Duality Explained
◦ Example 2

Session 17: Focus
 Resistor and Inductor (RL) Circuits
 Source Free RL Circuit
 Solutions to RL Circuit
◦ Natural Response or Transient Response
◦ Forced Response or Steady-state Response
 Finding the Solution to Source Free RL Circuit
 Problem
 Energy in the RL Circuit

Session 18: Focus
 Properties of Exponential Response
◦ Time constant (τ) Definition
 Source Free RC Circuit
 v(t) of RC Circuit
 Time constant of RC Circuit
 Problem
 Home work Problem 1

Session 19: Focus
 Source Free Parallel RLC Circuits
◦ Parallel and Series RLC circuits
◦ Initial conditions
◦ One-sided limits
◦ Characteristic Equation
 Solution for the Characteristic Equation

Tutorials: 1 to 12
 There were three theory classes every week
 And, one Tutorial class every week
◦ Problems were based on the topics covered in that week

Basic Electric Circuits Course

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Basic Electric Circuits Course