The Effective Value of an Alternating Current (or Voltage)

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

Signal Generator 1.Describe what each control on the CRO does. 2.Describe a method for finding peak voltage. 3.Describe a method of finding the period.

Q26.1 Which of the two arrangements shown has the smaller equivalent resistance between points a and b? A. the series arrangement B. the parallel arrangement.

Which of the two cases shown has the smaller equivalent resistance between points a and b? Q Case #1 2. Case #2 3. the equivalent resistance is.

© 2012 Pearson Education, Inc. Which of the two arrangements shown has the smaller equivalent resistance between points a and b? Q26.1 A. the series arrangement.

8. AC POWER CIRCUITS by Ulaby & Maharbiz. Overview.

1 My Chapter 21 Lecture Outline. 2 Chapter 21: Alternating Currents Sinusoidal Voltages and Currents Capacitors, Resistors, and Inductors in AC Circuits.

The Effective Value of an Alternating Current (or Voltage) © David Hoult 2009.

Alternating Current and RMS Derivation Whiteboards.

AC Circuits (Chapt 33) circuits in which the currents vary in time

AC Waveform and AC Circuit Theory Md Shahabul Alam Dept: EEE.

Electrical principles. The aim of today is to understand the average and RMS values in an AC circuit. Objectives: To know how alternating current is produced.

Electrical principles. Session 1 a.c circuits Objectives: To know how alternating current is produced To understand what average and RMS values are, in.

AC electric circuits 1.More difficult than DC circuits 2. Much more difficult than DC circuits 3. You can do it!

2.2 Alternating Current and Voltage

Alternating Current Electricity Lesson 11. Learning Objectives To know what is meant by alternating current. To know how to calculate the rms value of.

Electromagnetism Topic 12.2 Alternating Current. Rotating Coils Most of our electricity comes from huge generators in power stations. Most of our electricity.

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

AC POWER ANALYSIS Instantaneous & Average Power

1 Alternating Current Circuits Chapter Inductance CapacitorResistor.

Alternating Current (AC) R, L, C in AC circuits

8. AC POWER CIRCUITS by Ulaby & Maharbiz All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press.

ELECTRIC CURRENTS. SIMPLE CIRCUIT What’s providing the energy? What’s “moving” in the circuit? What’s causing the movement? e.m.f. = Electromotive Force.

Alternating-Current Circuits Physics Alternating current is commonly used everyday in homes and businesses throughout the word to power various.

CH Model of a real battery A real battery can be modeled as an ideal battery (i.e. voltage source) and an internal resistance r. The voltage across.

1 Discussion about the mid-term 8. In those hard times, people connected two light bulbs in series to prolong the lifetime of them so as to save money.

Power Definition Whiteboards. Power power = work time Derive all eqn using: V = W/q I = q/t R = V/I P = IV = I 2 R = V 2 R P: Power in W I: Current in.

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

When current is flowing in an ordinary metal wire, the magnitude of the average velocity of the electrons is closest to A) 1 m/s. B) 1 km/s. C) 10 m/s.

Kirchhoff’s Laws Objective: to recall Kirchhoff’s laws and use them to solve problems. Starter: what is the current and voltage in these circuits? Mark.

P.1 Book 4 Section 6.1 Alternating current Patterns formed by light emitting diodes A.c. and d.c. Check-point 1 Effective value of an a.c. Root-mean-square.

Series and Parallel Circuits

Alternating Current Circuits Based on Serway and Jewett e6.

Announcements Midterm Exam next Wednesday Exam starts at 6 PM, ~1 hr. Closed book, one page of notes Bring a calculator (not phone, computer, iPad, etc.)

Phys102 Lecture 9 Electric Currents and Resistance

Lesson 14: Introduction to AC and Sinusoids

SYLLABUS AC Fundamentals AC Analysis AC power Three phase circuit

Sinsuoidal steady state power

Alternating voltages and currents

Network Circuit Analysis

Electrical Power

7. Power in electric circuits

Alternating Current – Learning Outcomes

COVERAGE TOPICS AC Fundamentals AC Analysis AC power

5. Alternating Current Circuits

Islamic University of Gaza

6.1 Alternating current and power

Lecture 31 Sinsuoidal steady state power Related educational modules:

Chapter 22: AC Circuits Figure (a) Direct current. (b) Alternating current.

ALTERNATING CURRENT METERS School of Microelectronic Engineering

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

Sinusoidal Waveform Phasor Method.

April 24th, 2006 AC Circuits PHYS 102

Electromechanical Systems

Electromagnetic Induction

Alternating Current Circuits and Electromagnetic Waves

Fundamental Electrical Power Concepts

The Effective Value of an Alternating Current (or Voltage)

Chapter 11 AC Power Analysis

Any type of vibration can be defined by

The rheostat (or variable resistor)

ELL100: INTRODUCTION TO ELECTRICAL ENGG.

Lecture Outline Chapter 24 Physics, 4th Edition James S. Walker

ECE131 BASIC ELECTRICAL & ELECTRONICS ENGG

Cfe Higher Physics Unit 3.1 Alternating Current and Voltage.

PHYS 1444 – Section 004 Lecture #14

Electromagnetic Induction

Chapter 33 Problems 3,10,17,21,22,26,32,33,37.

Presentation transcript:

The Effective Value of an Alternating Current (or Voltage) © David Hoult 2009

© David Hoult 2009

© David Hoult 2009

© David Hoult 2009

© David Hoult 2009

© David Hoult 2009

If the two bulbs light to the same brightness (that is, they have the same power) then it is reasonable to consider the current Iac to be (in some ways) equivalent to the current Idc © David Hoult 2009

The simple average value of a (symmetrical) a.c. is equal to If the two bulbs light to the same brightness (that is, they have the same power) then it is reasonable to consider the current Iac to be (in some ways) equivalent to the current Idc The simple average value of a (symmetrical) a.c. is equal to © David Hoult 2009

The simple average value of a (symmetrical) a.c. is equal to zero If the two bulbs light to the same brightness (that is, they have the same power) then it is reasonable to consider the current Iac to be (in some ways) equivalent to the current Idc The simple average value of a (symmetrical) a.c. is equal to zero © David Hoult 2009

The R.M.S. Value of an Alternating Current (or Voltage) © David Hoult 2009

© David Hoult 2009

If an a.c. supply is connected to a component of resistance R, the instantaneous power dissipated is given by © David Hoult 2009

If an a.c. supply is connected to a component of resistance R, the instantaneous power dissipated is given by power = i2 R © David Hoult 2009

© David Hoult 2009

© David Hoult 2009

The mean (average) power is given by © David Hoult 2009

The mean (average) power is given by mean power = (mean value of i2) R © David Hoult 2009

The mean value of i2 is © David Hoult 2009

I2 The mean value of i2 is 2 © David Hoult 2009

The square root of this figure indicates the effective value of the alternating current © David Hoult 2009

The square root of this figure indicates the effective value of the alternating current r.m.s. = root mean square © David Hoult 2009

© David Hoult 2009

where I is the maximum (or peak) value of the a.c. Irms = 2 where I is the maximum (or peak) value of the a.c. © David Hoult 2009

The r.m.s. value of an a.c. supply is equal to the direct current which would dissipate energy at the same rate in a given resistor © David Hoult 2009

The r.m.s. value of an a.c. supply is equal to the direct current which would dissipate energy at the same rate in a given resistor We can use the same logic to define the r.m.s. value of the voltage of an alternating voltage supply. © David Hoult 2009

where V is the maximum (or peak) value of the voltage The r.m.s. value of an a.c. supply is equal to the direct current which would dissipate energy at the same rate in a given resistor We can use the same logic to define the r.m.s. value of the voltage of an alternating voltage supply. V Vrms = 2 where V is the maximum (or peak) value of the voltage © David Hoult 2009

We have been considering a sinusoidal variation of current (or voltage) © David Hoult 2009

We have been considering a sinusoidal variation of current (or voltage) © David Hoult 2009

For this variation, the r.m.s. value would be We have been considering a sinusoidal variation of current (or voltage) For this variation, the r.m.s. value would be © David Hoult 2009

We have been considering a sinusoidal variation of current (or voltage) For this variation, the r.m.s. value would be equal to the maximum value © David Hoult 2009