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Chapter 22: Electrostatics
Electrostatics
Electrostatics is electricity at rest.
The study of electric charges and the forces between
  them.
Electrical Forces
• Electrical forces are strong forces that act over short
distances.
• Positive and negative forces are balanced in every atom.
• Opposite forces attract.
   • Negative attracts positive, positive attracts negative.
•Same forces repel.
 Same
   • Negative repels negative, positive repels positive.



                                q1q 2
                             Fk 2
                                 d
Electric Charge
• electric charge: a property of particles that is important to
           charge
  the structure of atoms and molecules and acts as the source
  of a fundamental force of nature.
• protons: positively charged particles found in atomic nuclei
  protons
  that possess the smallest measurable electric charge.
• electrons: negatively charged particles found in atoms that
  electrons
  possess the small measurable electric charge.


                                     electrons

                                     protons &
                                     neutrons
Law of Conservation of Charge
•Charge cannot be destroyed nor created, only transferred from
one object to another.
•Ion: charged particle.
•Positive ion: net positive charge.
   • An atom that has lost one or more electrons.
•Negative ion: net negative charge.
   • An atom that has gained one or more electrons.

Outermost electrons are the easiest to dislodge, creating a net
charge.
Ex: rubber and plastic hold their electrons more firmly than hair,
so when you comb your hair, electrons are excited and transfer
from your hair to the comb.
Question: What is the net charge of your hair? The comb?
Coulomb’s Law
                                              q1q 2
                                           Fk 2
• Used to calculate electrical force.
                                               d
• d = distance between charged particles
• q1 = charge of particle 1
   • Unit of charge is the Coulomb
• q2 = charge of particle 2
• k=9.00 x 109 N*m2/C2
Conductors and Insulators
• Conductors: Atoms / Molecules with several loosely bound
  electrons in outer energy levels
   • Ex’s: Gold, Silver, Copper, Aluminum, … (metals)
• Insulators: Atoms / Molecules whose electrons are more
  “tightly” bound to the nucleus.
   • Ex’s: Hydrocarbons (plastic, acrylic, rubber, ..), Air, Wood
Charging
• Charging by Contact / Friction:
                          Friction    Triboelectric Series
                                              (-)
   • electrons are “scrapped” off
                                           Celluloid
     one material and adhere to
                                            Sulfur
     another
                                         Copper, Brass
   • Rubbing brings electrons of
                                            Amber
     one substance close to the
                                            Wood
     nuclei of another substance
                                         Human Skin
   • Electrons are taken by the              Silk
     substance that wants electrons         Cat Fur
                                             Wool
                                             Glass
                                          Rabbit Fur
                                              (+)
Charging
• Charging by Induction:
              Induction
   • A charged object is used to separate the charges in a nearby
       conductor.




                      The presence of a –     Sphere B is separated from   The excess charge
    Two metal
                       (negative) charge      sphere A. The two spheres     distributes itself
   spheres are
                    induces e- to move from     have opposite charges.     uniformly over the
   mounted on
                         sphere A to B.                                      surface of the
insulating stands
                                                                                spheres.
Charge Polarization
  • Charge Polarization
     • Separating opposite charges within an object
     • A charged object is held near another object and
          “polarizes” the atoms / molecules in the other object.




A neutral soda can     With a negative object held nearby,      Charge within the can is
   resting on an     electrons are repelled and induced into   polarized – separated into
 insulating stand    moving to the opposite side of the can.           opposites.
Electric Field
Electric forces act over a distance. Ex: moving stream of water
with rod. Does not need to make contact.

• Definition: an area of “space” in which if a charged
  object were placed in, it would experience a force.
• Magnitude:
   • E = F / qtest
• Direction: the direction of the field is taken to be the
  direction of the force felt by a positive test charge.
Electric Field Lines
Electric field is a vector with
both a magnitude and
direction. Electric field lines
point the direction a positive
test charge would accelerate
if placed on the line.




        The quantity of the charge is represented by the
        density of the field lines.
Electric Potential Energy
• Electric Potential Energy: energy of a particle due to its
    location.
     • So the closer a charge is to particle of the same charge,
       the more electric potential energy it is.
•   Electric Potential = electric potential energy / charge
     • Similar to gravitational PE (mgh)
        • Work done to lift and object
        • Work done to move a charge towards a repellent
           charge
•   Volt: unit for electric potential
    Volt
•   Voltage: another term for electric potential
    Voltage
•   1 volt = 1 Joule / coulomb
•   Consider this – an electron has a charge of 1.60 × 10-19
    coulombs
Electric Energy Storage
• Energy is stored in devices called capacitors
• Capacitors can be charged and can store charge.
   • Charging occurs when attached to a battery
   • The positive battery terminal pulls electrons from the plate
     attached to it, moving them to the plate connected to the
     negative terminal
   • This creates a potential difference and energy is released
     when a conducting path is created

            +

        -
Homework
Review Questions: 26, 27, 31, 32
Exercises: 30, 35, 40, 42
Problems: 1, 2, 3

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Electrostatics: The Study of Electric Charges and Forces

  • 2. Electrostatics Electrostatics is electricity at rest. The study of electric charges and the forces between them.
  • 3. Electrical Forces • Electrical forces are strong forces that act over short distances. • Positive and negative forces are balanced in every atom. • Opposite forces attract. • Negative attracts positive, positive attracts negative. •Same forces repel. Same • Negative repels negative, positive repels positive. q1q 2 Fk 2 d
  • 4. Electric Charge • electric charge: a property of particles that is important to charge the structure of atoms and molecules and acts as the source of a fundamental force of nature. • protons: positively charged particles found in atomic nuclei protons that possess the smallest measurable electric charge. • electrons: negatively charged particles found in atoms that electrons possess the small measurable electric charge. electrons protons & neutrons
  • 5. Law of Conservation of Charge •Charge cannot be destroyed nor created, only transferred from one object to another. •Ion: charged particle. •Positive ion: net positive charge. • An atom that has lost one or more electrons. •Negative ion: net negative charge. • An atom that has gained one or more electrons. Outermost electrons are the easiest to dislodge, creating a net charge. Ex: rubber and plastic hold their electrons more firmly than hair, so when you comb your hair, electrons are excited and transfer from your hair to the comb. Question: What is the net charge of your hair? The comb?
  • 6. Coulomb’s Law q1q 2 Fk 2 • Used to calculate electrical force. d • d = distance between charged particles • q1 = charge of particle 1 • Unit of charge is the Coulomb • q2 = charge of particle 2 • k=9.00 x 109 N*m2/C2
  • 7. Conductors and Insulators • Conductors: Atoms / Molecules with several loosely bound electrons in outer energy levels • Ex’s: Gold, Silver, Copper, Aluminum, … (metals) • Insulators: Atoms / Molecules whose electrons are more “tightly” bound to the nucleus. • Ex’s: Hydrocarbons (plastic, acrylic, rubber, ..), Air, Wood
  • 8. Charging • Charging by Contact / Friction: Friction Triboelectric Series (-) • electrons are “scrapped” off Celluloid one material and adhere to Sulfur another Copper, Brass • Rubbing brings electrons of Amber one substance close to the Wood nuclei of another substance Human Skin • Electrons are taken by the Silk substance that wants electrons Cat Fur Wool Glass Rabbit Fur (+)
  • 9. Charging • Charging by Induction: Induction • A charged object is used to separate the charges in a nearby conductor. The presence of a – Sphere B is separated from The excess charge Two metal (negative) charge sphere A. The two spheres distributes itself spheres are induces e- to move from have opposite charges. uniformly over the mounted on sphere A to B. surface of the insulating stands spheres.
  • 10. Charge Polarization • Charge Polarization • Separating opposite charges within an object • A charged object is held near another object and “polarizes” the atoms / molecules in the other object. A neutral soda can With a negative object held nearby, Charge within the can is resting on an electrons are repelled and induced into polarized – separated into insulating stand moving to the opposite side of the can. opposites.
  • 11.
  • 12. Electric Field Electric forces act over a distance. Ex: moving stream of water with rod. Does not need to make contact. • Definition: an area of “space” in which if a charged object were placed in, it would experience a force. • Magnitude: • E = F / qtest • Direction: the direction of the field is taken to be the direction of the force felt by a positive test charge.
  • 13. Electric Field Lines Electric field is a vector with both a magnitude and direction. Electric field lines point the direction a positive test charge would accelerate if placed on the line. The quantity of the charge is represented by the density of the field lines.
  • 14. Electric Potential Energy • Electric Potential Energy: energy of a particle due to its location. • So the closer a charge is to particle of the same charge, the more electric potential energy it is. • Electric Potential = electric potential energy / charge • Similar to gravitational PE (mgh) • Work done to lift and object • Work done to move a charge towards a repellent charge • Volt: unit for electric potential Volt • Voltage: another term for electric potential Voltage • 1 volt = 1 Joule / coulomb • Consider this – an electron has a charge of 1.60 × 10-19 coulombs
  • 15. Electric Energy Storage • Energy is stored in devices called capacitors • Capacitors can be charged and can store charge. • Charging occurs when attached to a battery • The positive battery terminal pulls electrons from the plate attached to it, moving them to the plate connected to the negative terminal • This creates a potential difference and energy is released when a conducting path is created + -
  • 16. Homework Review Questions: 26, 27, 31, 32 Exercises: 30, 35, 40, 42 Problems: 1, 2, 3