Charge & Coulomb's Law

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Video Clips

Video RealVideo®
3:01 minutes (4:14 - 7:15)

Knowledge of electrical charges throughout history: Origin of word electron (Greek word for amber); discovery of two types of charge: Positive and negative; like charges repel and unlike charges attract; Ben Franklin discovers conservation of charge, existence of conductors.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Video RealVideo®
12:03 minutes (7:15 - 19:18)

Charging a glass rod with silk, then inducing a polarization of charge in a conductor. Properties of conductors. Demonstration: Using balloons to demonstrate induction of positive and negative charges with conductors and non-conductors.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Video RealVideo®
6:22 minutes (19:18 - 25:40)

Friction creates a charge when combing your hair, touching a doorknob after walking on a carpet, using Saran™ Wrap and cellophane. Experiment: Beating a student with cat fur to create a charge, then discharging by touching a neon discharge tube.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Video RealVideo®
3:50 minutes (25:40 - 29:30)

Demonstration of a Van de Graaff generator used to charge confetti, causing it to jump in the air.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Video RealVideo®
6:42 minutes (29:30 - 36:12)

Force of one charge on another charge is Kqq/r^2, unit is Coulomb. A Coulomb is very large, electron has charge 1.6E-19 C. Coulomb's constant K = 9E9 N*m^2/C^2=1/(4pi*epsilon_0). Electrical force between two charges is analogous to force on two masses due to gravity. With 3 or more charges the force on one charge from the other two is the sum of the individual forces.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Video RealVideo®
5:48 minutes (42:00 - 47:48)

Definition of electroscope as a device for measuring charge. Demonstration of human electroscope by charging himself with the Van de Graaff and holding pieces of tinsel.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Lecture Notes

Document PDF
Page 45 to page 50

Electric charge and electric force defined. Coulomb's Law with an example. The Superposition Principle for charges.

Prior Knowledge: Fields (Pages 26-44 from presentation 1)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Document PDF#
Page 14 to page 18

Electric potential; Lorentz force and magnetic force; Biot-Savart Law; magnetic dipole moments

Prior Knowledge: Material is from presentations 1-5 and 14-20.
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Document PDF
Page 1 to page 2

Definitions, with equations. Superposition, charge densities, and unit vectors are also defined.

Prior Knowledge: Fields (R1)
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Document PDF
Page 10 to page 12

Electromagnetism through history; standard model; electric charge.

Prior Knowledge: None
Instructor: Prof. Gabriella Sciolla
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Document PDF
Page 13 to page 17

Statement; superposition for point charges and distributions; SI vs. cgs units; force from charged rod; Taylor expansions.

Prior Knowledge: Charge
Instructor: Prof. Gabriella Sciolla
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Document PDF
Page 2 to page 3

Work required to move charge; potential energy of configuration.

Prior Knowledge: Coulomb's Law
Instructor: Prof. Gabriella Sciolla
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Online Textbook Chapters

Document PDF
Page 7 to page 16

Definition; examples and equations; sources, sinks, and circulations; example of gravity, electric, and magnetic fields.

Prior Knowledge: Scalar fields, Coulomb's law, concept of magnetism
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Document PDF
Page 3 to page 7

Definition and equation; Van de Graaff generator; superposition of electric forces with example.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Practice Problems

Document PDF
Problem 1 to problem 8

Four questions about induced charges on hollow conductors, with answers and explanations.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Document PDF
Problem 1

Calculating charge necessary for two dust grains to overcome gravitational attraction.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Document PDF#
Problem 1

Finding ratio for electron and proton; distance to balance; gravity on large scales.

Prior Knowledge: None
Instructors: Dr. Peter Dourmashkin, Prof. Gunther Roland
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Document PDF#
Problem 2

Ratio of electric to gravitational forces between earth and moon for smaller electron charge; stable system.

Prior Knowledge: None
Instructors: Dr. Peter Dourmashkin, Prof. Gunther Roland
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Exam Questions

Document PDF
Problem 1

Finding force on central point charge before and after an outer charge is removed.

Prior Knowledge: None
Instructor: Prof. Walter Lewin
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Document PDF
Problem 1

Finding position of third charge for F = 0; potential energy of third charge and effect of perturbation.

Prior Knowledge: None
Instructors: Dr. Peter Dourmashkin, Prof. Gunther Roland
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Document PDF
Problem 2

Determining experimentally whether an object carries a purported third charge.

Prior Knowledge: None
Instructors: Dr. Peter Dourmashkin, Prof. Gunther Roland
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Document PDF
Problem 1

For triangular arrangement of charges, finding the E-field, the force on a charge, and the motion of a charge.

Prior Knowledge: None
Instructors: Dr. Peter Dourmashkin, Prof. Gunther Roland
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Java Applets

Java Applet Java Applet
Requires Java Virtual Machine

Video animation showing the interaction of four equal charges: Two positive and two negative. Mention of Pauli and van der Waals forces.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Applet simulating the interaction of large numbers of positive and negative charges in a two-dimensional space.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Applet simulating the interaction of large numbers of positive and negative charges in a three-dimensional space.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Interactive applet simulating the interactions of charged particles in a two-dimensional space.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Interactive applet simulating the interactions of charged particles in a three-dimensional space.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Interactive applet simulating the behavior of two lattices of charged particles as they collide with one another.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Applet simulating the interaction between 10 positively charged particles contained in a pentagon.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Applet simulating the behavior of the charges inside the plates of a parallel plate capacitor.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Applet simulating the behavior of a conducting sphere placed between the plates of a parallel plate capacitor as it is being charged

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Interactive applet simulates interaction between charged particles, with ability to view field lines and equipotential lines for the particles.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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Java Applet Java Applet
Requires Java Virtual Machine

Applet in which the player tries to navigate a simple maze by changing the value of a point charge between positive and negative.

Prior Knowledge: None
Instructors: Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Michael Feld, Prof. Eric Hudson, Prof. John Joannopoulos, Prof. Bruce Knuteson, Dr. George Stephans
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