General Physics
Physics 120
Chapter 26: ELECTRIC
CHARGES & FORCES
Antelope Valley College
Math & Sciences Dept
George Cros...
ANNOUNCEMENTS
TODAYS LECTURE
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•
•
•
•

Introductions
How this Class Will Run
Syllabus
Class Safety
Chapter 26
TODAYS LECTURE
•
•
•
•
•

Introductions
How this Class Will Run
Syllabus
Class Safety
Chapter 26
Physics 120
TEXT: PHYSICS for Scientists and Engineers
Second Edition: A Strategic Approach; Knight

Lecture: 6:00 – 10:05...
How We Learn
• Repetition (minimum of 7 times before it is
locked into memory)
–
–
–
–

Read Chapter Before Coming to Clas...
How This Class Will Run

• It won’t work to sit in class and expect me to
pour knowledge into you. You must follow the
way...
Why Study Physics? What Good Will it Be in
My Life or Career?

• Physics is the science of how things work
• Physics plays...
Physics Can Help You Work In State Of The Art
Technological Laboratories Like This
Physics Can Help Prevent You From Doing Stupid
Things With Serious Health Consequences

Inertia Works!
TODAYS LECTURE
•
•
•
•
•

Introductions
How this Class Will Run
Syllabus
Class Safety
Chapter 26
Warning About Disobeying Rules of Conduct
TODAYS LECTURE
•
•
•
•
•

Introductions
How this Class Will Run
Syllabus
Class Safety
Chapter 26
WARNING: Carrying Calculators, Rulers etc.
Los Angeles County Teacher Arrested in New York Airport
A public school teacher...
TODAYS LECTURE
•
•
•
•
•

Introductions
How this Class Will Run
Syllabus
Class Safety
Chapter 26
CHAPTER 26 QUIZ
1. Which of the following is not true? The electric force
___ 1. decreases with the inverse of the square of the distance ...
2. A material that permits electric charge to move through it is called a(n)
___ 1. insulator.
___ 2. conductor.
___ 3. ca...
3. When the electric charge on each of two charged particles is
doubled, the
electric force between them is
___ 1. doubled...
4. In any reaction involving charged particles, the total charge before
and
after the reaction is always the same. This re...
5. The net charge on any charged object is always an integer multiple
of the charge of the electron (e =1.6 x 1019 Coulomb...
1. Which of the following is not true? The electric force
___ 1. decreases with the inverse of the square of the distance ...
2. A material that permits electric charge to move through it is called a(n)
___ 1. insulator.
_X_ 2. conductor.
___ 3. ca...
3. When the electric charge on each of two charged particles is
doubled, the
electric force between them is
___ 1. doubled...
4. In any reaction involving charged particles, the total charge before
and
after the reaction is always the same. This re...
5. The net charge on any charged object is always an integer multiple
of the charge of the electron (e =1.6 x 1019 Coulomb...
Einstein said,

He also said that the
development of the
theory of electromagnetism
was “the most important
event in physi...
ELECTRICITY & MAGNETISM
•
•
•
•
•
•
•
•
•
•
•

Electric Charges & Forces
Electric Field
Gauss’s Law
Electric Potential
Pot...
TODAYS LECTURE
•
•
•
•
•

Developing a Charge Model
Charge
Insulators & Conductors
Coulomb’s Law
The Field Model
• Electricity Powers Your Modern Life
– Entertainment
• Audio
• Video

– Communication
• TV
• Radio
• Cell phones & Land L...
Developing a Charge Model
• Rubbing things together produces charges
& forces
• Three states of charge: a) positive, b)
ne...
Electric Properties of Materials
• Charge can be transferred by contact
between objects
• Two types of materials: a) condu...
Charge
• Positive charge & negative charge –
named by Benjamin Franklin
• Franklin named the charge on the glass
rod posit...
Electron orbital frequencies
~ 1015 rev/minute
This atom is neutral in charge
since it has the same number
of protons and
...
The Micro/Macro Connection
• Electrons & protons – basic charges of
ordinary matter
– Particles
– Follow Newton’s Laws of ...
The Micro/Macro Connection
• Objects acquire charge by gaining or
loosing (ionization) electrons
– Atoms missing electrons...
Charge Conservation
• Laws of Conservation
– Conservation of Energy
– Conservation of linear and rotational momentum
– Con...
Example of charge diagrams. Draw a simple two-dimensional cross-section
Of the object/s. Draw only the net charge (neutral...
Insulators & Conductors
• Insulator - Electrons tightly bound to
nucleus and cannot move about
• Conductor – Outer electro...
Charging an insulator
By friction leaves patches
of charge on surface.
These patches of charge
are not mobile and the
char...
Insulators & Conductors – Cont.
• Conductors
– Metals – charge conductors are electrons
– Ionic solutions – charge conduct...
Charging

Metal objects usually cannot be charged by rubbing, but by coming into
contact with a charged object.
Electrons in a conductor are free to move.
When charge is transferred, electrons repel
each other and rapidly move to redi...
Electroscope
Since the electroscope is metal, all excess charges move as far
apart as possible. As a result, the leaves become charged ...
Discharging
• Charging happens as a result of friction
• Discharging happens by contact
(touching)
– A conductor, or reaso...
Human – fair conductor. Charges will
quickly spread over entire conductive
area which now includes the human.
Not much cha...
Charge Polarization
• Charging happens as a result of friction
• Discharging happens by contact
(touching)
– A conductor, ...
Charge Polarization
Charge Polarization
Charge polarization is the slight separation of positive and negative charges
in a neutral object.
Charge Polarization
• Equilibrium position for electrons is such
that force of nearby charged object and
force from positi...
Polarization Force
Polarization force arises due to separation of charge in the metal
The Electric Dipole
Why does a charged object attract neutral insulators?
Also an example of polarization force.

This sli...
A charged object can pick up paper because it:
•Polarizes atoms in paper
•Exerts attractive polarization
force on each ato...
Charging by Induction
Coulomb’s Law
• Basic law of electric force
• Explains why
– Adding more charge increases the
repulsive/attractive force
–...
Coulomb’s Law – Cont.

Similar to Newton’s Law of Gravitation
but:
Charges can be positive or negative
therefore the absol...
•

•

•
•

Coulomb’s Law & Units of Charge
Coulomb had no unit of charge so he
could not define the electrostatic constant...
Coulomb’s Law – Cont.
• We can make Coulomb’s Law more useful
for later chapters by rewriting it
– Define permittivity con...
The Field Model
• Electric & magnetic forces are long range forces
• Despite the success of Newton’s Law of
Gravitation, s...
The Field Model – Cont.
• Faraday was not taken seriously at first –
many scientists thought it was just a
pictorial gimmi...
Gravity is a Field Force
•r is measured from the center of mass to
center of mass
•Force acts as if all mass concentrated ...
Gravity is a Field Force
All objects of mass are
gravitational sinks field lines are in toward
Center of mass
Gravity is a Field Force
Gravity is a Field Force

This is approximately true for all locations near the
Earth’s surface.
The Electric Field Model
• We will call some charges source charges
(electric field source) and others sink
charges
• A se...
How Do We Know There is an Electric Field?
Put a point charge at location of
interest and see if there is a force
on it
The Electric Field Model
• From any given charge there is an electric
field vector defined for every point in
space
• If q...
Point charge q creates field.
Point charge q’ to test the field
made by q.
By measuring the force on q’
we can determine t...
Positive Charge: Field Source
Notice how the arrows for
the field get smaller the
Farther out they go. This
Is due to the ...
The Electric Field of a Point Charge
• We will use vector notation to make our
equation a little more useful and allow use...
Position (Location) Vectors
Electric Field Vectors
Negative Charge: Field Sink
Backup Slides
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
George Cross Electromagnetism Charge Model Lecture26 (2)
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Physics, electromagnetism, charge model, charge, Insulators, conductors, Coulomb's Law, & the field model

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George Cross Electromagnetism Charge Model Lecture26 (2)

  1. 1. General Physics Physics 120 Chapter 26: ELECTRIC CHARGES & FORCES Antelope Valley College Math & Sciences Dept George Cross
  2. 2. ANNOUNCEMENTS
  3. 3. TODAYS LECTURE • • • • • Introductions How this Class Will Run Syllabus Class Safety Chapter 26
  4. 4. TODAYS LECTURE • • • • • Introductions How this Class Will Run Syllabus Class Safety Chapter 26
  5. 5. Physics 120 TEXT: PHYSICS for Scientists and Engineers Second Edition: A Strategic Approach; Knight Lecture: 6:00 – 10:05 PM Monday, SC3 168 Office: 6:00 – 6:50 PM Wednesday, SC2 136 Lab: 7:00 – 10:05 PM Wednesday, SC2 136 Course Goals – Learn and Understand •Electrostatics, electric fields and potentials •Resistance, capacitance, current, DC circuits •Magnetic fields, electromagnetic induction •Electromagnetic fields and waves, AC circuits •Help you to Love Physics (Well, at least like it) as much as I do •Have Fun while we learn
  6. 6. How We Learn • Repetition (minimum of 7 times before it is locked into memory) – – – – Read Chapter Before Coming to Class Listen in Class Discuss in Study Groups Do Your Homework • Tell it to Someone Else – Participate in Study Groups – Explain it to Someone • Participation – Participate in the Class Discussion & Activities – Participate in Lab
  7. 7. How This Class Will Run • It won’t work to sit in class and expect me to pour knowledge into you. You must follow the way we learn. Therefore: – Read Chapter Before You Come to Class This will help you to: • • • • Remember the material Understand the lecture Participate in the class and group discussion Pass the Chapter Quiz at the beginning of class – Participate in Class – This Class Will not be a Typical Lecture – This Class Will be a Combination of Lecture, Demonstration, Discussion, Group Work with a Workbook and so Forth that is Coupled with a Lab
  8. 8. Why Study Physics? What Good Will it Be in My Life or Career? • Physics is the science of how things work • Physics plays a part in every technology that has been devised by man • Physics is infused into every aspect of your life – What you physically see/observe – What you physically experience – The consequences to your physical actions or inaction – What happens to the objects around you
  9. 9. Physics Can Help You Work In State Of The Art Technological Laboratories Like This
  10. 10. Physics Can Help Prevent You From Doing Stupid Things With Serious Health Consequences Inertia Works!
  11. 11. TODAYS LECTURE • • • • • Introductions How this Class Will Run Syllabus Class Safety Chapter 26
  12. 12. Warning About Disobeying Rules of Conduct
  13. 13. TODAYS LECTURE • • • • • Introductions How this Class Will Run Syllabus Class Safety Chapter 26
  14. 14. WARNING: Carrying Calculators, Rulers etc. Los Angeles County Teacher Arrested in New York Airport A public school teacher was arrested today at John F. Kennedy International Airport as he attempted to board a flight in possession of a ruler, a protractor, a compass, a slide rule, and a calculator. At a morning press conference, the Attorney General said he believes the man is a member of the notorious Al-Gebra Movement. He did not identify the man, who has been charged by the FBI with carrying weapons of Math Instruction. “Al-Gebra is a problem for us,” the Attorney General said. “They derive solutions by means and extremes, and sometimes go off on tangents in search of absolute values.” They use secret code names like “X” and “Y” and refer to themselves as “unknowns.” Their variable nature makes everyone leery of their actions as sometimes the equation does not add up. We have determined that these operatives belong to a common denominator with coordinates in every country. An examination of the matrix of their operation, will allow the FBI to determine their function, and plan methods to FOIL their maneuvers. When asked to comment on the arrest, President Obama said, “If God had wanted us to have better Weapons of Math Instruction, He would have given us more fingers and toes.”
  15. 15. TODAYS LECTURE • • • • • Introductions How this Class Will Run Syllabus Class Safety Chapter 26
  16. 16. CHAPTER 26 QUIZ
  17. 17. 1. Which of the following is not true? The electric force ___ 1. decreases with the inverse of the square of the distance between two charged particles. ___ 2. between an electron and a proton is much stronger than the gravitational force between them. ___ 3. between two protons separated by a distance d is larger than that between two electrons separated by the same distance d. ___ 4. may be either attractive or repulsive. ___ 5. Is the coolest new sci-fi tech TV show.
  18. 18. 2. A material that permits electric charge to move through it is called a(n) ___ 1. insulator. ___ 2. conductor. ___ 3. capacitor. ___ 4. incapacitator. ___ 5. inductor.
  19. 19. 3. When the electric charge on each of two charged particles is doubled, the electric force between them is ___ 1. doubled. ___ 2. quadrupled. ___ 3. the same. ___ 4. totally awesome! ___ 5. none of the above
  20. 20. 4. In any reaction involving charged particles, the total charge before and after the reaction is always the same. This relationship is known as ___ 1. quantization of charge. ___ 2. conservation of charge. ___ 3. status quo law of charge ___ 4. the law of induction. ___ 5. not covered in the reading assignment
  21. 21. 5. The net charge on any charged object is always an integer multiple of the charge of the electron (e =1.6 x 1019 Coulombs). This relationship is known as ___ 1. quantization of charge. ___ 2. Coulomb’s Law. ___ 3. the law of induction. ___ 4. conservation of charge. ___ 5. Murphy’s Law ___ 6. not covered in the reading assignment
  22. 22. 1. Which of the following is not true? The electric force ___ 1. decreases with the inverse of the square of the distance between two charged particles. ___ 2. between an electron and a proton is much stronger than the gravitational force between them. _X_ 3. between two protons separated by a distance d is larger than that between two electrons separated by the same distance d. ___ 4. may be either attractive or repulsive. _X_ 5. Is the coolest new sci-fi tech TV show.
  23. 23. 2. A material that permits electric charge to move through it is called a(n) ___ 1. insulator. _X_ 2. conductor. ___ 3. capacitor. ___ 4. incapacitator. ___ 5. inductor.
  24. 24. 3. When the electric charge on each of two charged particles is doubled, the electric force between them is ___ 1. doubled. _X_ 2. quadrupled. ___ 3. the same. ___ 4. totally awesome! ___ 5. none of the above
  25. 25. 4. In any reaction involving charged particles, the total charge before and after the reaction is always the same. This relationship is known as ___ 1. quantization of charge. _X_ 2. conservation of charge. ___ 3. status quo law of charge ___ 4. the law of induction. ___ 5. not covered in the reading assignment
  26. 26. 5. The net charge on any charged object is always an integer multiple of the charge of the electron (e =1.6 x 1019 Coulombs). This relationship is known as _X_ 1. quantization of charge. ___ 2. Coulomb’s Law. ___ 3. the law of induction. ___ 4. conservation of charge. ___ 5. Murphy’s Law ___ 6. not covered in the reading assignment
  27. 27. Einstein said, He also said that the development of the theory of electromagnetism was “the most important event in physics since Newton’s time.”
  28. 28. ELECTRICITY & MAGNETISM • • • • • • • • • • • Electric Charges & Forces Electric Field Gauss’s Law Electric Potential Potential & Field Current & Resistance Fundamentals of Circuits Magnetic Field Electromagnetic Induction Electromagnetic Fields & Waves AC Circuits
  29. 29. TODAYS LECTURE • • • • • Developing a Charge Model Charge Insulators & Conductors Coulomb’s Law The Field Model
  30. 30. • Electricity Powers Your Modern Life – Entertainment • Audio • Video – Communication • TV • Radio • Cell phones & Land Lines – Transportation – Light & heat
  31. 31. Developing a Charge Model • Rubbing things together produces charges & forces • Three states of charge: a) positive, b) negative and c) neutral (equal mix of positive and negative charges) • Like charges repel, opposites attract • Force between charged objects is a long distance force that decreases with distance • Charge can be transferred by contact
  32. 32. Electric Properties of Materials • Charge can be transferred by contact between objects • Two types of materials: a) conductors (conduct charge easily), b) insulators (do not conduct charges easily) • Both conductors and insulators can be charged • Conductors give up charge easily • Insulators do not give up charge easily
  33. 33. Charge • Positive charge & negative charge – named by Benjamin Franklin • Franklin named the charge on the glass rod positive • Any charge that repels the glass rod is also positive and any that attracts the glass rod is negative • By convention, electrons are negatively charged and protons are positively charged • Developed without knowledge of atoms
  34. 34. Electron orbital frequencies ~ 1015 rev/minute This atom is neutral in charge since it has the same number of protons and electrons. e is called the fundamental charge ~10-14 m •Protons •1.67x10-27 kg •+e •Electrons •9.11x10-31 kg •-e
  35. 35. The Micro/Macro Connection • Electrons & protons – basic charges of ordinary matter – Particles – Follow Newton’s Laws of Motion • Charge represented by symbol “q” • Object is charged if the total number of electrons and protons are unequal • Objects charge will always be an integer multiple of e (charge quantization)
  36. 36. The Micro/Macro Connection • Objects acquire charge by gaining or loosing (ionization) electrons – Atoms missing electrons – positive ions – Atoms with extra electrons – negative ions • Friction causes charging (ionization) – Molecular bonds broken at surface – One part of molecule looses an electron – One part of molecule gains an electron – Ions are on opposing objects • Fur (positive) & rubber rod (negative) • Silk (negative) & glass rod (positive)
  37. 37. Charge Conservation • Laws of Conservation – Conservation of Energy – Conservation of linear and rotational momentum – Conservation of charge • Law of Conservation of Charge: Charge is neither created or destroyed. Charge can be transferred from one object to another as electrons and ions move about, but the total amount of charge remains constant. (Net charge of fur and rubber rod is zero)
  38. 38. Example of charge diagrams. Draw a simple two-dimensional cross-section Of the object/s. Draw only the net charge (neutral should show no charges). Charge on conductor will only be at the surface. Conserve charge from one diagram to the next if multiple diagrams are needed.
  39. 39. Insulators & Conductors • Insulator - Electrons tightly bound to nucleus and cannot move about • Conductor – Outer electrons (valence electrons) are weakly bound. When atoms come together to form a solid, these valence electrons are shared and are then free to move about or wander through the entire solid. Similar to an array of positive ion cores with negatively charged fluid moving about in between (sea of electrons)
  40. 40. Charging an insulator By friction leaves patches of charge on surface. These patches of charge are not mobile and the charge does not spread out. Electrons in a metal are highly mobile. In a metal the mobile valence electrons are called charge carriers.
  41. 41. Insulators & Conductors – Cont. • Conductors – Metals – charge conductors are electrons – Ionic solutions – charge conductors are positive and negative ions – Plasma – charge conductors are electrons and nuclei
  42. 42. Charging Metal objects usually cannot be charged by rubbing, but by coming into contact with a charged object.
  43. 43. Electrons in a conductor are free to move. When charge is transferred, electrons repel each other and rapidly move to redistribute themselves accordingly (entire sea shifted to side and then redistributes). This response Is virtually instantaneous. Other than this brief adjustment period when charging is happening, the charges in a conductor are in static equilibrium. This means that the charges are at rest because there is no net force acting on any of them. “Electrostatic Equilibrium” In an isolated conductor, any excess charge is located on the surface of the conductor.
  44. 44. Electroscope
  45. 45. Since the electroscope is metal, all excess charges move as far apart as possible. As a result, the leaves become charged as well And repel each other since they are of like charge.
  46. 46. Discharging • Charging happens as a result of friction • Discharging happens by contact (touching) – A conductor, or reasonable conductor touching a charged object removes or conducts away charge – Things that can remove charge • Water – most water contains ions making it a good conductor • Humans – mostly salt water – therefore, good conductor • Grounding straps • Air – poor conductor but some charged ions which will gradually discharge an object exposed to the air • Earth – “grounded”
  47. 47. Human – fair conductor. Charges will quickly spread over entire conductive area which now includes the human. Not much charge will be left on the metal when person removes their hand. Insulators will not give up their charge easily since the charges are not free to move. They may, but in the small area in contact with the discharging object. An object connected to the earth will share its charge with entire earth and will become completely discharged. Grounding objects prevents the build up of excess charge in electric and electronic circuits.
  48. 48. Charge Polarization • Charging happens as a result of friction • Discharging happens by contact (touching) – A conductor, or reasonable conductor touching a charged object removes or conducts away charge – Things that can remove charge • Water – most water contains ions making it a good conductor • Humans – mostly salt water – therefore, good conductor • Grounding straps • Air – poor conductor but some charged ions which will gradually discharge an object exposed to the air • Earth – “grounded”
  49. 49. Charge Polarization
  50. 50. Charge Polarization Charge polarization is the slight separation of positive and negative charges in a neutral object.
  51. 51. Charge Polarization • Equilibrium position for electrons is such that force of nearby charged object and force from positive nuclei is balanced – Nuclei exert restoring force on electrons – Actual position shift is typically < 10-15m
  52. 52. Polarization Force Polarization force arises due to separation of charge in the metal
  53. 53. The Electric Dipole Why does a charged object attract neutral insulators? Also an example of polarization force. This slight separation of charge is called an electric dipole.
  54. 54. A charged object can pick up paper because it: •Polarizes atoms in paper •Exerts attractive polarization force on each atom
  55. 55. Charging by Induction
  56. 56. Coulomb’s Law • Basic law of electric force • Explains why – Adding more charge increases the repulsive/attractive force – Increasing the distance reduces the repulsive/attractive force • Some debate as to whether he discovered the inverse square law or made a good guess, but he was correct K is the electrostatic constant Law also says that the force is an action/ reaction pair acting along the line joining the two charges and that the force is repulsive For like charges and attractive for opposites.
  57. 57. Coulomb’s Law – Cont. Similar to Newton’s Law of Gravitation but: Charges can be positive or negative therefore the absolute value signs give us the magnitude. The second part of Coulomb’s Law tells us the direction of the forces on the respective charges.
  58. 58. • • • • Coulomb’s Law & Units of Charge Coulomb had no unit of charge so he could not define the electrostatic constant (numerical value depends on units of distance and charge) Fundamental unit of charge: e = 1.60x10-19 C (C is for Coulomb) or… 1C = 6.25x1018 protons Typical charge on rubber rod is 10-9C to 107 C or an excess of 1010 or 1012 electrons K = 8.99x109 Nm2/C2
  59. 59. Coulomb’s Law – Cont. • We can make Coulomb’s Law more useful for later chapters by rewriting it – Define permittivity constant εo (epsilon zero) – εo = 1/4πK = 8.85x10-12 C2/Nm2 Now let’s use Coulomb’s Law!
  60. 60. The Field Model • Electric & magnetic forces are long range forces • Despite the success of Newton’s Law of Gravitation, scientists of the time still had great difficulty with forces at a distance • Faraday postulated that the object producing the field changed the space around it in some way and that the behavior of a charged object was in response to the change in the space & affects all space • Faraday also postulated that the effects of field took a finite time (not instantaneous) to propagate
  61. 61. The Field Model – Cont. • Faraday was not taken seriously at first – many scientists thought it was just a pictorial gimmick • Over time scientists realized that the concept of field was required to understand the behavior of electromagnetics • Put on a mathematical basis in 1865 by James Clerk Maxwell – Explained all known electromagnetic behavior in four equations known as “Maxwell’s Equations” (Chapter 35)
  62. 62. Gravity is a Field Force •r is measured from the center of mass to center of mass •Force acts as if all mass concentrated at center of mass •Action reaction force pair •Force is in direction of center of mass of object exerting the force
  63. 63. Gravity is a Field Force All objects of mass are gravitational sinks field lines are in toward Center of mass
  64. 64. Gravity is a Field Force
  65. 65. Gravity is a Field Force This is approximately true for all locations near the Earth’s surface.
  66. 66. The Electric Field Model • We will call some charges source charges (electric field source) and others sink charges • A separate charge in the electric field experiences a force exerted by the field • Force proportional to strength of field • “E” is called the electric field strength
  67. 67. How Do We Know There is an Electric Field? Put a point charge at location of interest and see if there is a force on it
  68. 68. The Electric Field Model • From any given charge there is an electric field vector defined for every point in space • If q of the test charge is positive, the force will be in direction of field vector at that point • Electric field does not depend on size of test charge – force dependant upon q, so field is independent. • Fon q = qE
  69. 69. Point charge q creates field. Point charge q’ to test the field made by q. By measuring the force on q’ we can determine the direction of E at that point. We note that no matter where we place q’, the field will always point out away from q. F = (1/4πεo)qq’/r2 E = F/q’ = (1/4πεo)q/r2
  70. 70. Positive Charge: Field Source Notice how the arrows for the field get smaller the Farther out they go. This Is due to the fact that the field for a point charge drops with the square of the distance. Arrows are only a representation of the field. The field exists at all points. The lengths are representative of the field strength at that point (Iwhere the dot is).
  71. 71. The Electric Field of a Point Charge • We will use vector notation to make our equation a little more useful and allow use of positive or negative charges
  72. 72. Position (Location) Vectors
  73. 73. Electric Field Vectors
  74. 74. Negative Charge: Field Sink
  75. 75. Backup Slides

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