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• Charles Coulomb
                  (1736-1806: French)
                   – Studied relationship between
                     force and charge
Coulomb’s Law




                 Unit of charge = 1 coulomb (C)

                  The charge on 1 electron is
                          (1.6 x 10-19 C)
• The LAW!
                 – Force directly related to magnitude of
                   the charges
                 – Force inversely related to the square of
                   the distance between the two charges
Coulomb’s Law




                  Fα q Q

                  Fα
                        1                kq Q
                                       F= 2
                        r2                r
                  F α qQ
                      r2      k is a constant that corrects the proportion
                                  into an equality.
• This is similar to a formula
   • we talked about in Lesson 5.
               kQ q
            F = 2 Attractive
Coulomb’s

                r
  Law

                         or
  Newton’s            Repulsive
    Law
     Of
                        Only
 Universal          GMAttractive
                      m
 Gravitation   F=    r2
• Keep comparing:


                       kQ q
Coulomb’s Law




                     F= 2   Product
                        r of charges


                          GMm
                     F=    r   2     Product
                                    of masses
• Keep Comparing:


                       kQ q
Coulomb’s Law




                     F= 2
                        r
                                    Both are
                                    inverse-
                                     square
                         GMm          laws
                    F=     r2
• Keep Comparing

                    Large
       kQ q        Magnitude
     F= 2
        r             9 x 109
                      N·m2/C2

                    Small
         GMm       Magnitude
    F=    r2        6.67 x 10-11
                     N·m2/kg2
Exponent Keys on Calculators: Borrow one from
your instructor. Ipods and cell telephones don’t work
well with exponent keys.

TI 30:    2nd EE
TI 83:    2nd EE

Others: Might see exp, or          x 10x
These keys are used when decimal places are too
  many for the calculator to display or use.

A number like .0000000000000000000000000003
  so it needs to be typed by using the exponent key.

TI 30:   3EE-28,   others: 3exp-28
More Practice:

56900000000000000000000000

5.69EE25

.000000000000000000000256

2.56EE-22
• Sample problem 1! YEAH!
                 – What is the magnitude of the
                   electrostatic force between 2 protons
                   in the nucleus? (assume the distance
                   to be 3.0x10-13 cm)
Coulomb’s Law




                 F= kq Q      (9   (1.6 E10- (1.6 E 10-
                     r2    = E109)     19
                                          )      19
                                                    )
                                  (3.0 E 10 -15
                                                )
                                        2

                 F =25.6 N
• Sample problem 2!
                  – What is the magnitude of the gravitational
                    force between 2 protons in the nucleus?
                    (assume the distance to be 3.0x10 -13 cm)
Coulomb’s Law




                     GM m        (6.67 x 10-11(1.67 x 10-27 (1.67 x 10-
                                              )
                   F= 2   =
                                                    )       27
                                                               )
                      r                    (3.0 x 10-15 )2


                  F = 2.07x10-35 N
Electric Fields:   An area around a charged
  object that affects all other charged
   objects
Unit: N/C

The more the lines
 the stronger the field
Two More Rules for Drawing Electric Field Lines:

Lines are always drawn out of the positive and
   into the negative.

The more the lines the stronger the field.

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Ch9 - coulomb's law

  • 1. • Charles Coulomb (1736-1806: French) – Studied relationship between force and charge Coulomb’s Law Unit of charge = 1 coulomb (C) The charge on 1 electron is (1.6 x 10-19 C)
  • 2. • The LAW! – Force directly related to magnitude of the charges – Force inversely related to the square of the distance between the two charges Coulomb’s Law Fα q Q Fα 1 kq Q F= 2 r2 r F α qQ r2 k is a constant that corrects the proportion into an equality.
  • 3. • This is similar to a formula • we talked about in Lesson 5. kQ q F = 2 Attractive Coulomb’s r Law or Newton’s Repulsive Law Of Only Universal GMAttractive m Gravitation F= r2
  • 4. • Keep comparing: kQ q Coulomb’s Law F= 2 Product r of charges GMm F= r 2 Product of masses
  • 5. • Keep Comparing: kQ q Coulomb’s Law F= 2 r Both are inverse- square GMm laws F= r2
  • 6. • Keep Comparing Large kQ q Magnitude F= 2 r 9 x 109 N·m2/C2 Small GMm Magnitude F= r2 6.67 x 10-11 N·m2/kg2
  • 7. Exponent Keys on Calculators: Borrow one from your instructor. Ipods and cell telephones don’t work well with exponent keys. TI 30: 2nd EE TI 83: 2nd EE Others: Might see exp, or x 10x These keys are used when decimal places are too many for the calculator to display or use. A number like .0000000000000000000000000003 so it needs to be typed by using the exponent key. TI 30: 3EE-28, others: 3exp-28
  • 9. • Sample problem 1! YEAH! – What is the magnitude of the electrostatic force between 2 protons in the nucleus? (assume the distance to be 3.0x10-13 cm) Coulomb’s Law F= kq Q (9 (1.6 E10- (1.6 E 10- r2 = E109) 19 ) 19 ) (3.0 E 10 -15 ) 2 F =25.6 N
  • 10. • Sample problem 2! – What is the magnitude of the gravitational force between 2 protons in the nucleus? (assume the distance to be 3.0x10 -13 cm) Coulomb’s Law GM m (6.67 x 10-11(1.67 x 10-27 (1.67 x 10- ) F= 2 = ) 27 ) r (3.0 x 10-15 )2 F = 2.07x10-35 N
  • 11. Electric Fields: An area around a charged object that affects all other charged objects Unit: N/C The more the lines the stronger the field
  • 12. Two More Rules for Drawing Electric Field Lines: Lines are always drawn out of the positive and into the negative. The more the lines the stronger the field.

Editor's Notes

  • #2: 1 coulomb = The amount of electricity transported by a current of one ampere flowing for one second. About as many electrons that pass through 100-W bulb every second
  • #3: What do we need to replace the ‘ α ’ with?
  • #4: Electrostatic interactions may be attractive or repulsive, but gravity is ONLY attractive
  • #6: The strengths of both gravity and electrostatic interactions decreases exponentially with distance
  • #7: Gravity is MUCH weaker! Force due to electrostatic interactions is 2.27 x 10 39 times larger than the forces due to gravity
  • #10: Because both protons have the same charge we replace q 1 q 2 with q 2 .