Calculating the flux through a sphere around a point charge, leading to the statement of Gauss's Law that flux through a closed surface is proportional to the net charge enclosed by the surface.

Need symmetric situations to find electric field using Gauss's Law. Example of finding the electric field inside and outside a hollow sphere with uniformly distributed charge. Comparison to gravitational field.

Finding the electric field around a plane with uniformly distributed charge. Result is stated, but some of the work is left to students as an exercise.

Finding the magnitude and direction of the electric field created by a long cylinder with uniform charge density.

Gauss's Law defined; electric flux; open and closed surfaces; choosing gaussian surfaces and examples with spherical, cylindrical, and planar symmetry.

Examples utilizing integrals and Gauss's Law to determine potential of a point charge and solid charged sphere.

Definition; flux through cylinder and closed surfaces; flux with contained charge; Gauss's Law.

Restatement; application to sphere of charge, shell of charge, plane of charge.

Theoretical and experimental verification of Gauss's Law.

Application of divergence to Gauss's Law; divergence theorem; definition with limits and derivatives; finding E from V.

Introduction to the concept of flux and its application to the electric field; flux through generalized surfaces in 3-D.

Gauss's Law defined; introduction to Gaussian sufaces for multiple shapes; worked examples for an infinite rod, infinite plane, spherical shell, and solid sphere of uniform charge.

Introduces step-by-step method to determine electric field using Gauss's Law for spheres, infinite planes, and infinite lines of charge.

Given an expression for the electric potential, determine the electric field, location and charge density of the distribution. Solution is included after problem.

Find the electric field everywhere due to two parallel oppositely charged infinite planes. Solution is included after problem.

Find the electric flux due to a point charge through a square surface and through a cube. Solution is included after problem.

Find the gravitational field inside a spherical mass shell, using Gauss's Law. Solution is included after problem.

Find the electric potential everywhere due to a uniformly charged sphere using Gauss's Law. Solution is included after problem.

Find the electric field within a spherical cavity in a uniformly charged solid sphere.

Find electric field and electric potential everywhere due to a sphere with spherically symmetric non-uniform charge density; also, find total potential energy.

Find electric field everywhere due to a charged slab using Gauss's Law.

Find the total potential energy of a uniformly charged solid sphere.

Given an expression for the electric potential, determine the electric field and the appropriate charge density distribution.

Determine the sign of electric flux through open and closed surfaces.

Determine in what situations Gauss's Law should be utilized.

Characterize electric field inside charged spherical shell and inside thick charged slab.

Questions on the interpretation of Gauss's Law and on charge and potential at conductor surfaces.

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

Solution (PDF)

4-part Gauss's law problem; finding E-field in 3 cases; plotting along z-axis.

Solution (PDF)

3-part Gauss's law problem; determining qualitative charge distributions for different locations of the charge.

Solution (PDF)

3-part Gauss's law problem; finding radial E-field and potential.

Solution (PDF)

Drawing and explaining electric field near sheet of charge.

Solution (PDF)

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

Solution (PDF)

Finding charge distribution, E-field, and field lines of positive sphere inside negative spherical shell.

Solution (PDF)^#