Electric Field & Electric Potential

Electric Field

Definition; field lines; fields for ring and disk of charge.

• 8.022 Electricity and Magnetism, Fall 2004
  Prof. Gabriella Sciolla

Course Material Related to This Topic:

• Read lecture notes, pages 4–7

Electric field compared to gravitational field and defined, with a description of its field lines; superposition of electric field; force on charged particle due to electric field.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read chapter 2, pages 7–11 of online textbook

Dipoles in Electric Fields

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

Finding F and τ on dipole from E–field; charge of point from motion of dipole; acceleration from point charge force.

• Complete practice problem 3
• Check solution to practice problem 3

Finding field lines for E–field with given effect on dipole; F and τ on dipole for greater negative charge.

• Complete exam problem 3
• Check solution to exam problem 3

Electric Potential

Review of gravitational potential; introduction to electric potential by analogy to gravity; discussion of conservative forces and their relation to potential energy; introduction of the electronvolt.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read chapter 3, pages 2–5 of online textbook

Scalar Fields

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

Description of scalar fields, with temperature as an example.

• Read lecture notes, pages 27–9

Analytic representations of scalar fields and examples of visual representations: contour maps, color coding, and relief maps.

• Read chapter 1, pages 3–7 of online textbook

Vector Fields

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

Illustrations of vector fields, using wind velocity as an example.

• Read lecture notes, pages 30–8

Definition of a vector; comparison of vector fields to scalar fields.

• Read chapter 1, pages 7–8 of online textbook

Gravitational Fields

Uses gravity to describe the physics of a vector field.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read lecture notes, pages 41–4

Introduction to Electric Fields

Introduces electric fields by analogy to gravitational fields; introduces charge and electric force.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read lecture notes, pages 45–7

Electric Field and the Superposition Principle

Introduces the superposition principle for electric force, shows an expression for electric field, and then applies the superposition principle to electric field.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read lecture notes, pages 50–3

Intro to Electric Potential

Introduces electric potential energy and electric potential by analogy with gravitation; defines conservative forces and gives electric potential due to a point charge.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read lecture notes, pages 10–26

Deriving Electric Field from Electric Potential

Introduces del operator and utilizes it to determine field from electric potential; in–class problem illustrates how to find electric field in 1D from plot of potential.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read lecture notes, pages 29–32

Configuration Energy

Derives an expression for the total electrostatic potential energy of a system of point charges.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read lecture notes, pages 33–6

Introduction to Fields

Historical context behind the developement of Field Theory, including differences with the "action at a distance" model.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read chapter 1, pages 2–3 of online textbook

Gravitational Field Example

Utilizes gravity to illustrate the characteristics of a physical field.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read chapter 1, pages 12–4 of online textbook

Visual Representations of Vector Fields

Detailed discussion of the field line and iron filing or grass seed models of representing a vector field; introduction to time–varying field representation.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read chapter 1, pages 16–9 of online textbook

Charge Density

Definition of line, surface, and volume charge density in continuous charge distributions and calculation of the electric fields they produce.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read chapter 2, pages 16–8 of online textbook

Electric Potential in a Uniform Field

Example determining the potential difference between two points in an electric field and illustrating that Coulomb forces are conservative.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read chapter 3, pages 5–6 of online textbook

Superposition of Electric Potential

Calculating electric potential due to discrete charges using superposition; includes configuration energy.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read chapter 3, pages 6–9 of online textbook

Finding Electric Field from Potential

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

Description of how to derive the electric field from a potential; introduction of the del (∇) operator.

• Read chapter 3, pages 10–1 of online textbook

Understand magnitude and sign of electric field corresponding to plot of electric potential.

• Complete practice problems on page 7–8

Charge, Coulomb's Law, and Electric Field

Introduction to charge and how it causes force via Coulomb's Law; description of resulting electromagnetic field.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Read chapter 1, pages 14–5 of online textbook

Electrostatics of Point Charges

Calculate the electric field and potential in a system of point charges, as well as the work required to bring in an additional point charge.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 20–1
• Check solution to practice problems on page 20–1

Electrostatics on Axis of a Ring of Charge

Calculate the electric field and potential on the axis of a uniformly charged ring.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 22–3
• Check solution to practice problems on page 22–3

Vector Field Representations

Understand field line, flow field and grass seeds representations of vector fields.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 4–8

Meaning of Electric Field Lines

What does a field line in the space surrounding a charge represent?

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 1

Field Lines and Force

Given a field line drawing, determine whether the force between two particles is attractive or repulsive

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 2

Electric Field Around Charges

Qualitatively describe the electric field produced by point charges.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 3–4

Motion in a Potential Landscape

Check understanding of electric potential landscape and potential energy, including correct signs for positive and negative charges.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 1–5

Field Lines and Electric Potential

Determine the direction electric field lines point within a potential landscape.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 6

Plotting Vector Fields

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

Plot vector fields in two dimensions given their mathematical expressions.

• Complete practice problems on page 20–1
• Check solution to practice problems on page 20–1

Plot eight vector fields in two dimensions given their mathematical expressions.

• Complete practice problems on page 23

Plotting Scalar Fields

Plot scalar fields in two dimensions given their mathematical expressions.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 22
• Check solution to practice problems on page 22

Vector Fields from Magnitude and Direction

Find mathematical expressions for vector fields with the specified magnitude and direction.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 24

Field in a Charge Triangle

Determine the electric field at a point due to three point charges.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 40–1

Field and Force: Four Point Charges

Determine the electric field and force in a square of four point charges.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 41

Electric Potential of Two Point Charges

Find the electric potential between two point charges.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 23–3
• Check solution to practice problems on page 23–3

Conceptual Questions on Electric Potential

Conceptual questions about the relationships between electric field, electric potential, potential energy, and work.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 26–7

Potential Energy in a Cube of Point Charges

Find the amount of work to assemble a system of point charges.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 27

Force, Field and Potential of Point Charges

Find the electrostatic force, electric field and electric potential at the midpoint between two equal charges.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 27

Work Done on Charges

Find the work done and change in potential energy when two point charges are separated.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 27–8

Electric Potential of a Non–Uniformly Charged Rod

Calculating the electric potential along the axis and along the perpendicular bisector of a charged rod with given non–uniform charge density.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 28

Graphical Calculation of Electric Field from Potential

Use a given graph of electric potential to determine electric field and what kind of charge distribution caused it.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 29
• Check solution to practice problems on page 29

Electric Potential and Potential Energy with Point Charges

Find the potential at a point due to a system of point charges; then, find the change in configuration energy of the system if another charge is brought to that point.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 30

Electric Field, Potential and Potential Energy with Point Charges

For a system of point charges, find the configuration energy of the system, the field, potential and force on a test charge at a given point, and the work needed to place that test charge.

• 8.02 Physics II: Electricity and Magnetism, Spring 2007
  Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen–Ben Liao

Course Material Related to This Topic:

• Complete practice problems on page 30

Point Charges on a Line

Finding position for third charge to cancel second; reaction to perturbation.

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

• Complete practice problem 3
• Check solution to practice problem 3

Potential Energy of Point Charges

Comparing potential and potential energy of opposite charges near a fixed point charge.

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

• Complete practice problem 1
• Check solution to practice problem 1

Decelerating Proton

Calculating initial speed of proton given distance traveled to nucleus.

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

• Complete practice problem 2
• Check solution to practice problem 2

Connected Spherical Conductors

Explaining equipotentiality; comparing E–fields near spheres.

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

• Complete practice problem 3
• Check solution to practice problem 3

Field from Two Point Charges

4–part problem; finding force on one charge, E–field along x–axis and y–axis, graphing, and drawing field lines.

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

• Complete practice problem 1
• Check solution to practice problem 1

Potential from Two Point Charges

Graphing and approximating electric potential; graphing potential energy.

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

• Complete practice problem 2
• Check solution to practice problem 2

Fields of Point Charges

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

• 8.02X Physics II: Electricity and Magnetism with an Experimental Focus, Spring 2005
  Dr. Peter Dourmashkin, Prof. Gunther Roland

Course Material Related to This Topic:

• Complete exam problem 1
• Check solution to exam problem 1