ECE 201 Circuit Theory I1 Sinusoidal Sources Voltage or Current Sin or Cos In our case, choose cos and write in general.

Slides:

Advertisements

Similar presentations

Each of the circuit elements will have a different ac current response to an applied ac voltage. We need to look at each of these elements. Resistor:

Advertisements

Alternating Current Circuits Chapter 33 Note: This topic requires you to understand and manipulate sinusoidal quantities which include phase differences.

Ch4 Sinusoidal Steady State Analysis 4.1 Characteristics of Sinusoidal 4.2 Phasors 4.3 Phasor Relationships for R, L and C 4.4 Impedance 4.5 Parallel and.

Sinusoidal Waves. Objective of Lecture Discuss the characteristics of a sinusoidal wave. Define the mathematical relationship between the period, frequency,

Lesson 17 Intro to AC & Sinusoidal Waveforms

Chapter 15 AC Fundamentals.

This lesson covers the following outcomes Unit 54 P1, P7, P8 Unit 6 P10, P11.

Math Review with Matlab:

Electronics Inductive Reactance Copyright © Texas Education Agency, All rights reserved.

We have been using voltage sources that send out a current in a single direction called direct current (dc). Current does not have to flow continuously.

AC Circuits Physics 102 Professor Lee Carkner Lecture 24.

Department of Electronic Engineering BASIC ELECTRONIC ENGINEERING Steady-State Sinusoidal Analysis.

Induction1 Time Varying Circuits 2008 Induction2 A look into the future We have one more week after today (+ one day) We have one more week after today.

ECE 201 Circuit Theory I1 Instantaneous Power. ECE 201 Circuit Theory I2 Reference for t = 0 Call t = 0 when the current is passing through a positive.

ECE 201 Circuit Theory I1 Complex Power Designate as S Magnitude of S = Apparent Power Units are Volt-Amperes The complex sum of Real Power (P) and Reactive.

STEADY STATE AC CIRCUIT ANALYSIS

AC Circuits Physics 102 Professor Lee Carkner Lecture 23.

AC Power Discussion D9.3 Chapter 5. Steady-State Power Instantaneous Power Average Power Effective or RMS Values Power Factor Complex Power Residential.

ECE 201 Circuit Theory I1 Source Transformation Convert a Voltage Source in Series with a Resistance into A Current Source in Parallel with the SAME Resistance.

AC Signals. Sinusoidal Signal  An ideal generator produces an induced emf that oscillates. Sine or cosine wave  The oscillation is characterized by.

Fourier Analysis D. Gordon E. Robertson, PhD, FCSB School of Human Kinetics University of Ottawa.

Lesson 18 Phasors & Complex Numbers in AC

Alternating Current Circuits

ECE 201 Circuit Theory I1 Sinusoidal response of circuits The switch is closed at t = 0. Determine the current i(t) for t >= 0. i(t)

ECE 3183 – Chapter 5 – Part D CHAPTER 5 - D1 ECE 3183 – EE Systems Chapter 5 – Part D AC Power, Power Factor.

AC Fundamentals Radians Converting Between Radians and Degrees

Alexander-Sadiku Fundamentals of Electric Circuits

ECE 1100: Introduction to Electrical and Computer Engineering Notes 23 Power in AC Circuits and RMS Spring 2008 David R. Jackson Professor, ECE Dept.

Chapter 10 Sinusoidal Steady-State Analysis

Chapter 25 Nonsinusoidal Waveforms. 2 Waveforms Used in electronics except for sinusoidal Any periodic waveform may be expressed as –Sum of a series of.

AC Fundamentals Chapter 15. Introduction 2 Alternating Current 3 Voltages of ac sources alternate in polarity and vary in magnitude Voltages produce.

Chapter 33 Alternating Current Circuits CHAPTER OUTLINE 33.1 AC Sources 33.2 Resistors in an AC Circuit 33.3 Inductors in an AC Circuit 33.4 Capacitors.

Alternating Current Circuits

ELECTRICAL CIRCUIT ET 201 Define and explain characteristics of sinusoidal wave, phase relationships and phase shifting.

Alternating Current Chapter 12. Generating AC (12-1)

1 AC Electricity. Time variation of a DC voltage or current 2 I V Current Voltage time t.

Complex Numbers, Sinusoidal Sources & Phasors ELEC 308 Elements of Electrical Engineering Dr. Ron Hayne Images Courtesy of Allan Hambley and Prentice-Hall.

EE2010 Fundamentals of Electric Circuits Lecture 13 Sinusoidal sources and the concept of phasor in circuit analysis.

1 Alternating Current Circuits Chapter Inductance CapacitorResistor.

Pharos University EE-272 Electrical Power Engineering 1

BASIC CONCEPTS Signal Waveforms. Continuous/Discontinuous.

Md Shahabul Alam Dept. of EEE Sinusoidal Waveforms.

ECE 4710: Lecture #3 1 Signals & Noise  Received waveform contains the desired signal and the undesired noise  We will use deterministic waveforms (not.

1 © Unitec New Zealand DE APTE 5601 I NTRODUCTION TO AC CIRCUIT THEORY.

ECE201 Lect-51 Single-Node-Pair Circuits (2.4); Sinusoids (7.1); Dr. S. M. Goodnick September 5, 2002.

The Last Leg The Ups and Downs of Circuits Chapter 31.

The Ups and Downs of Circuits The End is Near! Quiz – Nov 18 th – Material since last quiz. (Induction) Exam #3 – Nov 23 rd – WEDNESDAY LAST CLASS –

Chapter 15 AC Fundamentals.

Lecture 13: Complex Numbers and Sinusoidal Analysis Nilsson & Riedel Appendix B, ENG17 (Sec. 2): Circuits I Spring May 13, 2014.

 Voltage can be produced such that, over time, it follows the shape of a sine wave  The magnitude of the voltage continually changes.  Polarity may.

Electromagnetic Oscillations and Alternating Current Chapter 33.

EE 1270 Introduction to Electric Circuits Suketu Naik 0 EE 1270: Introduction to Electric Circuits Lecture 17: 1) Sinusoidal Source 2) Complex Numbers.

COVERAGE TOPICS 1. AC Fundamentals AC sinusoids AC response (reactance, impedance) Phasors and complex numbers 2. AC Analysis RL, RC, RLC circuit analysis.

Drill Exercise A linear transformer couples a load consisting of a 360 Ω resistor in series with a 0.25 H inductor to a sinusoidal voltage source, as shown.

1 AGBell – EECT by Andrew G. Bell (260) Lecture 11.

 Circuits in which the source voltage or current is time-varying (particularly interested in sinusoidally time-varying excitation, or simply, excitation.

Alternating Current Circuits. AC Sources  : angular frequency of AC voltage  V max : the maximum output voltage of AC source.

1 Eeng 224 Chapter 11 AC Power Analysis Huseyin Bilgekul Eeng224 Circuit Theory II Department of Electrical and Electronic Engineering Eastern Mediterranean.

1 AC Circuit Theory. 2 Sinusoidal AC Voltage Waveform: The path traced by a quantity, such as voltage, plotted as a function of some variable such as.

Dr. Michael Nasief.  Rotating electrical machines (ac generators)  Electronic oscillator circuits.

Lesson 14: Introduction to AC and Sinusoids

Sinusoidal Sources Voltage or Current Sin or Cos

site.iugaza.edu.ps/ajasser

An {image} series circuit has {image} , {image} , and {image}

Sinusoidal Waveform Phasor Method.

ECE 1270: Introduction to Electric Circuits

ELL100: INTRODUCTION TO ELECTRICAL ENGG.

Sinusoidal response of circuits

Sinusoidal Sources Voltage or Current Sin or Cos

Sinusoidal response of circuits

Presentation transcript:

ECE 201 Circuit Theory I1 Sinusoidal Sources Voltage or Current Sin or Cos In our case, choose cos and write in general

ECE 201 Circuit Theory I2 Graphically

ECE 201 Circuit Theory I3 V m = amplitude, or maximum value of the signal (volts) T = period of the signal (seconds) f = 1/T = frequency of the signal (Hertz) ω = 2πf = angular frequency of the signal (radians/sec) Φ = phase angle (radians)

ECE 201 Circuit Theory I4 Average value of a sinusoid

ECE 201 Circuit Theory I5 rms value of a sinusoid

ECE 201 Circuit Theory I6 Detailed calculation of rms

ECE 201 Circuit Theory I7 What does rms mean? Determine the average power delivered to the resistor by the sinusoidal voltage source + V m cos(ωt+θ v ) -

ECE 201 Circuit Theory I8 If V rms = 100V, it delivers the same amount of power to the resistor as a 100V DC source, or it is effectively equivalent to a DC source of the same magnitude.

ECE 201 Circuit Theory I9 Rms and “Effective Value” rms value and “effective value” are used interchangeably

ECE 201 Circuit Theory I10 Practical Example Consider the voltage at a standard household outlet –The rms voltage is 120 Volts –The peak voltage V m is determined as