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Action at a Distance Physics 100 Chapt 12 + -

Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

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Page 1: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Action at a Distance

Physics 100

Chapt 12

+ -

Page 2: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Coulomb’s law

q1

M1

q2

M2r

Fc = kq1q2

r2

FN = Gmemp

r2

Newton’s law of Gravitation

All possible

distances!

Page 3: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Moon-earth

FN=GMMME

r2

How does the Moonknow that the Earth

is where it is (& what ME is)?

Page 4: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Electroscope

How do the electronsin the foil know thatsomeone is moving a charged object up here?

& that it’s negativelycharged?

& how much it ischarged by?

Page 5: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Ball on an empty trampoline surface

The ball feelsno net force

Page 6: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Ball on a “loaded” trampoline surface

The ball is “attracted” to the girl’s force

Page 7: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Luminiferous aether & E-Fields

+

Page 8: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Faraday’s method for computingE fields

+

Imaginary small positive “test” charge qtest

Ftest=coulomb force on test charge

Ftest

E = Ftest/qtestx+

Page 9: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Example

+ +

Page 10: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

E-field from 2 plus charges

Page 11: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

E-Field is the dir of force on + charge

+ -

Page 12: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

E-Field for opposite charges

Page 13: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

Better picture

+

-

Page 14: Action at a Distance Physics 100 Chapt 12 + -. Coulomb’s law q1q1 M1M1 q2q2 M2M2 r F c = k q1q2r2q1q2r2 F N = G mempr2mempr2 Newton’s law of Gravitation

RulesE-field lines start on + charges and end on - charges

Direction of E-field lines = direction of force on a + charge placed at that point (opposite for – charge)

Where E-field lines are close together, the E field is large; where they are far apart, the E-field is small.