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Electric Forces and Fields
Chapter 16
Pg.
+




16.1 Electric Charge
+
    What do you think?

    •   In the top picture, the girl has rubbed the
        balloon on her hair, and now there is a
        force of attraction between them.
        Normally, a balloon and hair would not
        attract each other.
        •   What happened to each to produce this force?

    •   In the lower picture, the two balloons are
        repelling each other.
        •   How was this force of repulsion produced?
+
    What do you think?

    •   Suppose that after this balloon is rubbed against the
        girl’s hair, it is held against the wall. It will be
        attracted to the wall and stick to it.
        •   Explain why the balloon is attracted to the wall.
        •   Why does it eventually fall?
+
    Electric Charge


     Thereare two types of
     charge, positive and
     negative.
     Like    charges repel.
        Positive and positive
        Negative and negative
        The two balloons

     Opposite        charges attract.
        Positive and negative
        The balloon and the hair.
+
    Properties of Electric Charge


    Work  best on dry days because
     excessive moisture in the air can
     provide a pathway for charge to leak off
     a charged object.
+
    Transferring Electric Charge

     Atomshave smaller particles called protons (+
     charge), neutrons, and electrons (- charge).
      Number of protons = number of electrons
       Atoms   are neutral (no net charge).
      Electronsare easily transferred from one atom
      to another.
       Protons   and neutrons remain in nearly fixed positions.
+
    Transferring Electric Charge

     When  rubbing a balloon on your hair,
     electrons are attracted to the balloon and
     transfer.
      The balloon is left with excess electrons
       (-charge).
      The hair is left with an equal excess of
       protons (+charge).
+
    Conductors and Insulators

       What is meant by the term        Conductors allow electrons to
        electrical conductor?             flow freely through them.
           Provide a few examples.          Silver, copper, aluminum, and
                                              other metals


                                         Electrons do not flow freely
       What is meant by the term         though insulators.
        electrical insulator?
                                             Plastic, rubber, glass
           Provide a few examples.

                                         Outer electrons in metals are
       Why do conductors and             loosely bound to the nucleus
        insulators behave                 and relatively free to move.
        differently?
+
    Charging by Contact

     Bothinsulators and conductors can be
     charged by contact.
      Rubbing   two materials together results in a
       transfer of electrons.
      When charging metal, the charge may move
       through your body into the ground.
        The metal and your body are conductors, so
         the charge moves through them.
        You must hold the conductor with an
         insulating material, such as rubber gloves, to
         keep the charge on the metal.
+
    Charging by Induction

                       A chargedrod is held near
                       a metal sphere. Why do
                       the charges in the metal
                       arrange themselves as
                       shown?
                       The metal sphere is
                       connected to the ground
                       with a conductor. Why did
                       some of the electrons
                       move off the sphere?
+
    Charging by Induction

 The    conductor connecting
    the sphere to ground is
    removed. What type of net
    charge does the sphere
    now possess?
 The    negatively charged
    rod is removed. Why do
    the charges move into the
    positions shown?
+
    Surface Charges
 Why    does a charged balloon stick to
    the wall?
 A positive    surface charge is induced on
    the wall by the negatively-charged
    balloon.
     Electrons shift within atoms due to
      attraction or repulsion.
     The insulator does not have a net
      charge.
 The   diagram shows the opposite case.
 Why    can a charged comb pick up little
    pieces of paper?
+
    Now what do you think?

    •   In the top picture, the girl has rubbed
        the balloon on her hair, and now there
        is a force of attraction between them.
        Normally, a balloon and hair would not
        attract each other.
        •   What happened to each to produce this
            force?

    •   In the lower picture, the two balloons
        are repelling each other.
        •   How was this force of repulsion produced?
+
    Now what do you think?

    •   Suppose that after this balloon is rubbed against the
        girl’s hair, it is held against the wall. It will be
        attracted to the wall and stick to it.
        •   Explain why the balloon is attracted to the wall.
        •   Why does it eventually fall?
+




16.2 Electric Force
+
                What do you think?

    •   Electric forces and gravitational forces are both
        field forces. Two charged particles would feel the
        effects of both fields. Imagine two electrons
        attracting each other due to the gravitational
        force and repelling each other due to the
        electrostatic force.
        •   Which force is greater?
            • Is one slightly greater or much greater than the
              other, or are they about the same?
            • What evidence exists to support your answer?
+ Coulomb’s Law
  The force between two charged particles
  depends on the amount of charge and on the
  distance between them.
   Force has a direct relationship with both
    charges.
   Force has an inverse square relationship
    with distance.
+
    Coulomb’s Law




     Use  the known units for q, r, and F to determine
     the units of kc.
      kc = 8.99 109 N•m2/C2

     Thedistance (r) is measured from center to
     center for spherical charge distributions.
+ Classroom Practice Problem

  The electron and proton in a hydrogen atom
  are separated, on the average, a distance of
  about 5.3 10-11 m. Find the magnitude of
  both the gravitational force and the electric
  force acting between them.
  r=   5.3 x 10-11       qe= -1.60 x 10-19
  kc=   8.99 x 109       qp= 1.60 x 10-19
  me=    9.109 x 10-31   G= 6.673 x 10 -11
  mp=    1.63 x 10-27
+ Classroom Practice Problem


              q1q2
  Fe      kc ( 2 )
               r
                    ( 1.6 x10 19 )(1.6 x10   19
                                                  )
 Fe    (8.99 x109 )
                          (5.3x10 11 )2


  Fe = -8.2       10-8 N
+
    Classroom Practice Problem


                me m p
    Fg      G          2
                   r
                    11 (9.109 x10 31 )(1.63x10   27
                                                      )
    Fg     (6.673x10 )
                              (5.3x10 11 )2

     Fg   = 3.6           10-47 N
+
    Classroom Practice Problem

     The electric force is more than 1039 times
     greater than the gravitational force.
      Atoms and molecules are held together by
       electric forces. Gravity has little effect.
+
    Electric Force

     Like   gravity, the electric force is a field force.
     Similarities
      Both   forces are related to distance in the same
       way.
     Differences
      Two  types of charge and only one type of mass
      Electric forces can attract or repel while gravity
       only attracts.
      Electric forces are far stronger than gravitational
       forces.
+
    Coulomb’s Apparatus


                      Coulomb  developed his
                      law using a torsion
                      balance like that shown.
                      He measured the force
                      between the two charged
                      spheres by the amount of
                      twisting in the wire.
+
         Now what do you think?
 Electric    forces and gravitational forces are both
    field forces. Two charged particles would feel the
    effects of both fields. Imagine two electrons
    attracting each other due to the gravitational
    force and repelling each other due to the
    electrostatic force.
     Which force is greater?
      Is one slightly greater or much greater than the
       other, or are they about the same?
      What evidence exists to support your answer?
+




16.3 The Electric Field
+
            What do you think?

    •   In the chapter “Circular Motion and
        Gravitation,” you learned about the
        gravitational field (g). The diagram
        shows the “g” field around Earth.

    •   In this section, we will study the electric
        field (E) around charged particles. On
        the next slide are three different
        diagrams. Make a sketch of the “E”
        field for each charge or combination of
        charges.
+
         What do you think?

• Make a sketch of the
  “E” field for each
  charge or combination
  of charges.
    – How are your sketches
      similar?
    – How are they different?
    – Explain.
+
    Electric Field Strength
 Electric fields (E) have magnitude and direction.
  The direction is defined as the direction of the force
   on a small, positive test charge (q0) placed in the
   field caused by Q.




                                                     Felectric
  The   magnitude of the field is defined as   E
    the force per unit charge on q0.                   q0
+
    Test Charges
     A small test charge will• If the test charge (q0) is large,
     not significantly affect   it will affect the way the
     the field.                 charges are distributed on the
                                charged conductor.
                                                  – This would
                                                    change the
                                                    field around
                                                    the
                                                    conductor.


     • Test charges will always be considered small
       enough to have no effect on the field.
+
    Electric Field Strength
 Combine     Coulomb’s law withthe definition of electric field
    to derive an equation for E due to a point charge.




                                         Felectric      qq0
 SI   unit: N/C                   E                 kC 2
                                           q0          r q0
 The   field strength does not depend on the test charge.
+ Sample Electric Field Strengths
+
    Electric Field Lines - Rules

     Applythe above rules and sketch the E field around
     the charge shown.
+
    Electric Field Lines - Rules

     Applythe above rules and sketch the E field around
     the charge shown.
+
    Electric Field Lines - Rules




 Applythe above rules
 and sketch the E field
 around the charge
 combination shown.
+
    Electric Field Lines - Rules
+
    Electric Field Lines - Rules




     Applythe above rules and sketch the E field around
     the charge combination shown.
+
    Electric Field Lines - Rules
+
    Electrostatic Equilibrium

 Electrostatic  equilibrium occurs in conductors when no
    net motion of charges exists within the conductor.

 Charges   in a conductor are free to move, but are not
    moving when equilibrium exists.
       The rules below result from this fact.
+
             Now what do you think?

    •   What is an electric field?
    •   When sketching electric fields, what information
        is conveyed by the direction of the field lines?
    •   When sketching electric fields, what information
        is conveyed by the density of the field lines?
    •   Why must electric field lines just outside a
        conductor be perpendicular to the conductor?

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Electric Forces and Fields

  • 1. + Electric Forces and Fields Chapter 16 Pg.
  • 3. + What do you think? • In the top picture, the girl has rubbed the balloon on her hair, and now there is a force of attraction between them. Normally, a balloon and hair would not attract each other. • What happened to each to produce this force? • In the lower picture, the two balloons are repelling each other. • How was this force of repulsion produced?
  • 4. + What do you think? • Suppose that after this balloon is rubbed against the girl’s hair, it is held against the wall. It will be attracted to the wall and stick to it. • Explain why the balloon is attracted to the wall. • Why does it eventually fall?
  • 5. + Electric Charge  Thereare two types of charge, positive and negative.  Like charges repel.  Positive and positive  Negative and negative  The two balloons  Opposite charges attract.  Positive and negative  The balloon and the hair.
  • 6. + Properties of Electric Charge Work best on dry days because excessive moisture in the air can provide a pathway for charge to leak off a charged object.
  • 7. + Transferring Electric Charge  Atomshave smaller particles called protons (+ charge), neutrons, and electrons (- charge).  Number of protons = number of electrons  Atoms are neutral (no net charge).  Electronsare easily transferred from one atom to another.  Protons and neutrons remain in nearly fixed positions.
  • 8. + Transferring Electric Charge  When rubbing a balloon on your hair, electrons are attracted to the balloon and transfer.  The balloon is left with excess electrons (-charge).  The hair is left with an equal excess of protons (+charge).
  • 9. + Conductors and Insulators  What is meant by the term  Conductors allow electrons to electrical conductor? flow freely through them.  Provide a few examples.  Silver, copper, aluminum, and other metals  Electrons do not flow freely  What is meant by the term though insulators. electrical insulator?  Plastic, rubber, glass  Provide a few examples.  Outer electrons in metals are  Why do conductors and loosely bound to the nucleus insulators behave and relatively free to move. differently?
  • 10. + Charging by Contact  Bothinsulators and conductors can be charged by contact.  Rubbing two materials together results in a transfer of electrons.  When charging metal, the charge may move through your body into the ground.  The metal and your body are conductors, so the charge moves through them.  You must hold the conductor with an insulating material, such as rubber gloves, to keep the charge on the metal.
  • 11. + Charging by Induction  A chargedrod is held near a metal sphere. Why do the charges in the metal arrange themselves as shown?  The metal sphere is connected to the ground with a conductor. Why did some of the electrons move off the sphere?
  • 12. + Charging by Induction  The conductor connecting the sphere to ground is removed. What type of net charge does the sphere now possess?  The negatively charged rod is removed. Why do the charges move into the positions shown?
  • 13. + Surface Charges  Why does a charged balloon stick to the wall?  A positive surface charge is induced on the wall by the negatively-charged balloon.  Electrons shift within atoms due to attraction or repulsion.  The insulator does not have a net charge.  The diagram shows the opposite case.  Why can a charged comb pick up little pieces of paper?
  • 14. + Now what do you think? • In the top picture, the girl has rubbed the balloon on her hair, and now there is a force of attraction between them. Normally, a balloon and hair would not attract each other. • What happened to each to produce this force? • In the lower picture, the two balloons are repelling each other. • How was this force of repulsion produced?
  • 15. + Now what do you think? • Suppose that after this balloon is rubbed against the girl’s hair, it is held against the wall. It will be attracted to the wall and stick to it. • Explain why the balloon is attracted to the wall. • Why does it eventually fall?
  • 17. + What do you think? • Electric forces and gravitational forces are both field forces. Two charged particles would feel the effects of both fields. Imagine two electrons attracting each other due to the gravitational force and repelling each other due to the electrostatic force. • Which force is greater? • Is one slightly greater or much greater than the other, or are they about the same? • What evidence exists to support your answer?
  • 18. + Coulomb’s Law  The force between two charged particles depends on the amount of charge and on the distance between them.  Force has a direct relationship with both charges.  Force has an inverse square relationship with distance.
  • 19. + Coulomb’s Law  Use the known units for q, r, and F to determine the units of kc.  kc = 8.99 109 N•m2/C2  Thedistance (r) is measured from center to center for spherical charge distributions.
  • 20. + Classroom Practice Problem  The electron and proton in a hydrogen atom are separated, on the average, a distance of about 5.3 10-11 m. Find the magnitude of both the gravitational force and the electric force acting between them.  r= 5.3 x 10-11 qe= -1.60 x 10-19  kc= 8.99 x 109 qp= 1.60 x 10-19  me= 9.109 x 10-31 G= 6.673 x 10 -11  mp= 1.63 x 10-27
  • 21. + Classroom Practice Problem q1q2 Fe kc ( 2 ) r ( 1.6 x10 19 )(1.6 x10 19 ) Fe (8.99 x109 ) (5.3x10 11 )2  Fe = -8.2 10-8 N
  • 22. + Classroom Practice Problem me m p Fg G 2 r 11 (9.109 x10 31 )(1.63x10 27 ) Fg (6.673x10 ) (5.3x10 11 )2  Fg = 3.6 10-47 N
  • 23. + Classroom Practice Problem  The electric force is more than 1039 times greater than the gravitational force.  Atoms and molecules are held together by electric forces. Gravity has little effect.
  • 24. + Electric Force  Like gravity, the electric force is a field force.  Similarities  Both forces are related to distance in the same way.  Differences  Two types of charge and only one type of mass  Electric forces can attract or repel while gravity only attracts.  Electric forces are far stronger than gravitational forces.
  • 25. + Coulomb’s Apparatus  Coulomb developed his law using a torsion balance like that shown.  He measured the force between the two charged spheres by the amount of twisting in the wire.
  • 26. + Now what do you think?  Electric forces and gravitational forces are both field forces. Two charged particles would feel the effects of both fields. Imagine two electrons attracting each other due to the gravitational force and repelling each other due to the electrostatic force.  Which force is greater?  Is one slightly greater or much greater than the other, or are they about the same?  What evidence exists to support your answer?
  • 28. + What do you think? • In the chapter “Circular Motion and Gravitation,” you learned about the gravitational field (g). The diagram shows the “g” field around Earth. • In this section, we will study the electric field (E) around charged particles. On the next slide are three different diagrams. Make a sketch of the “E” field for each charge or combination of charges.
  • 29. + What do you think? • Make a sketch of the “E” field for each charge or combination of charges. – How are your sketches similar? – How are they different? – Explain.
  • 30. + Electric Field Strength  Electric fields (E) have magnitude and direction.  The direction is defined as the direction of the force on a small, positive test charge (q0) placed in the field caused by Q. Felectric  The magnitude of the field is defined as E the force per unit charge on q0. q0
  • 31. + Test Charges  A small test charge will• If the test charge (q0) is large, not significantly affect it will affect the way the the field. charges are distributed on the charged conductor. – This would change the field around the conductor. • Test charges will always be considered small enough to have no effect on the field.
  • 32. + Electric Field Strength  Combine Coulomb’s law withthe definition of electric field to derive an equation for E due to a point charge. Felectric qq0  SI unit: N/C E kC 2 q0 r q0  The field strength does not depend on the test charge.
  • 33. + Sample Electric Field Strengths
  • 34. + Electric Field Lines - Rules  Applythe above rules and sketch the E field around the charge shown.
  • 35. + Electric Field Lines - Rules  Applythe above rules and sketch the E field around the charge shown.
  • 36. + Electric Field Lines - Rules  Applythe above rules and sketch the E field around the charge combination shown.
  • 37. + Electric Field Lines - Rules
  • 38. + Electric Field Lines - Rules  Applythe above rules and sketch the E field around the charge combination shown.
  • 39. + Electric Field Lines - Rules
  • 40. + Electrostatic Equilibrium  Electrostatic equilibrium occurs in conductors when no net motion of charges exists within the conductor.  Charges in a conductor are free to move, but are not moving when equilibrium exists.  The rules below result from this fact.
  • 41. + Now what do you think? • What is an electric field? • When sketching electric fields, what information is conveyed by the direction of the field lines? • When sketching electric fields, what information is conveyed by the density of the field lines? • Why must electric field lines just outside a conductor be perpendicular to the conductor?