Network Analysis Techniques & Theorems Module II Network Analysis Techniques & Theorems .

At the end of this chapter, students should be able to Learning Outcome At the end of this chapter, students should be able to Learn network analysis techniques Learn network theorems and its application to analyse networks The learning outcome of the introductory is appended on the slide in more detail in point form

From syllabus for Module II Introduction Basic Electric Laws Ohms law Kirchoff’s laws Voltage and Current Division rules Nodal analysis Mesh analysis Star - Delta transformation Source transformation

From syllabus for Module II Network theorems Thevenin’s Superposition Norton Reciprocity

Lession I Ohm’s Law

From syllabus for Lession I Introduction Building Electric Circuits Ohm’s Law Resistances in series and parallel Application of Ohm’s Law

Basic Circuit Components We represent real electrical components with symbols 1.5 V 1.5V A Battery… …can be represented with this symbol …called a “DC voltage source” A DC Voltage Source Provides Power for our circuit Battery or Lab ‘power supply’ is an example DC voltage is supplied across the two terminals Its voltage is VOLTS (V)

Basic Circuit Components We represent real electrical components with symbols A Resistor Represents any device that requires power to operate Could be a light bulb, your computer, a toaster, etc. Each device has a certain amount of ‘resistance’, R, in the unit called: OHMS (Ω) A Light Bulb…or any ‘device’… R Ω …can be represented with this symbol …called a “resistor”

Basic Circuit Components We represent real electrical components with symbols The Ground Represents 0 volts We use it as a ‘reference’ voltage…to measure other voltages against it The ‘Earth’ is at 0 volts, so we call this ground The Earth… …can be represented with this symbol …called the “ground” symbol

Building a Circuit… We wish to ‘power’ our flashlight’s light bulb… We need a battery… 1.5 V We need to attach the light bulb to the battery… We use wires to connect the light bulb to the battery… Instead…let's represent the real components with their symbols

Building a Circuit… creating a schematic Replace the battery with a ‘DC Voltage Source’ symbol Replace the light bulb with a ‘Resistor’ symbol 1.5 V 1.5V .5 Ω Mark the symbol’s values (V=, R=, etc.) Since this “node” is at GND (OV) this node must be 1.5Volts higher Add the Ground reference 0V Instead…let's represent the real components with their symbols

Circuit Symbols Component Name Symbol Battery Joined wires Variable resistor Fuse Earth Capacitor Thermistor Light dependent resistor Light emitting diode

OHM’S LAW

Ohm’s Law and Electrical Quantities Ohm’s Law states that it takes one volt to push one ampere through one ohm. E = Volts E = I x R R = Resistance I = Amps

Ohm’s Law and Electrical Quantities Using the Ohm’s law chart. E = I x R I = E / R R = E / I

Ohm’s Law and Electrical Quantities Adding P (watts) to the Ohm’s law chart. I = I = P / E I = E / R P = E2 / R P = E x I P = I2 x R Ohm’s Law R = E / I R = P / I2 R = E2 / P E = E = I x R E = P / I