Calculating the electric field between two planes with uniform but opposite charges. Diagram of the end effects for the electric field around finite planes of charge.

Van de Graaff generator and a large metallic plane used to show that the electric field for a plane falls off much more slowly than the electric field of a sphere of charge.

Metallic ping pong balls and a hollow conducting sphere used to show the the electric field inside a uniformly charged sphere is zero.

A metallic ping pong ball and two charged plates used to show that the electric field between two plates is much stronger than the field around the plates.

Finding the potential inside and outside of a positively charged hollow sphere. Equipotential surfaces are defined, and compared to contour lines on a map.

Definition of electric dipoles and dipole moment; calculation of field due to a dipole; torque on a dipole in an external field.

Introduces charge density; problem solving strategy and worked examples calculating electric field due to a charged rod, ring, and disk.

Calculations of electric field produced by continuous charge distributions in a rod, ring, and disk.

Calculating electric potential due to continuous charge distributions using superposition.

Worked examples showing how to calculate electric potential given continuous charge distributions of a rod, ring, and disk.

Step-by-step description of method to determine electric potential from a charge distribution. Examples of ring, rod, and disk are shown.

Find the electric field at the center of a uniformly charged semicircle. Solution is included after problem.

Find the electric field at an arbitrary point due to a finite rod of uniform charge density. Solution is included after problem.

Comparison of gravity and electric forces; field lines crossing; electric field around charges.

Calculate electric force at the center of a non-uniformly charged semicircular wire.

Calculate the electric field on axis of a uniformly charged cylindrical shell and a cylinder.

Find the electric potential on the symmetry axis of a uniformly charged annulus. Solution is included after problem.

Determine the electric potential around a thin rod; use this to determine the work done on a test charge moving around the wire and its velocity. Solution is included after problem.

5-part E-field problem; calculating and plotting E-field along z-axis; limiting cases; connection to Coulomb's law.

Solution (PDF)

Drawing and explaining electric field near ellipsoid conductor.

Solution (PDF)

4-part problem; finding charge distribution, electric field, and potential for charged cylinder, then again with a dielectric.

Solution (PDF)

3-part problem; finding E-field above, below, and within a slab of charge with an opposite sheet of charge on top.

Solution (PDF)

Finding and sketching E-field, potential, and potential energy.

Solution (PDF)^#

5-part problem; finding charge, potential energy, and electric potential.

Solution (PDF)^#

Interactive applet showing the magnitude and direction of the electric field around a dipole.

Applet demonstrating the method of integrating to find the electric field at a point above a line of charge.

Interactive applet showing the magnitude and direction of the electric field due to a finite line of charge.

Applet demonstrating the method of integrating to find the electric field at a point above a ring of charge.

Interactive applet showing the magnitude and direction of the electric field due to a ring of charge.

Video demonstration of the force on a charge in an electric field that changes over time.

Video demonstrating the creation of an electric dipole by separating a positive and negative charge which were originally in the same spot.

Video showing the creation of a dipole electric field by moving 5 positive charges away from 5 negative charges one-by-one.

Video showing the destruction of a dipole electric field by moving the positive charges of the dipole toward the negative charges.

Applet simulating the interaction of large numbers of dipoles in a two-dimensional space.

Interactive applet which simulates the behavior of charged particles in a potential well.

Video demonstrating the formation of an atom from a positive nucleus attracting four electrons.

Applet simulating a series of oppositely charged particles attached to two fixed endpoints, sagging under the weight of gravity. Neutral charges can be dropped onto this arrangement to weigh it down further.

Applet simulating a lattice of positive and negative particles attached to four fixed corners, sagging under the weight of gravity. Neutral charges can be dropped onto this arrangement to weigh it down further.