**Unit XII: Ampere’s Law (6 days, 130 pages):** Students discover a powerful technique for solving certain magnetic field problems which always appear on the A.P. exam.

**Topics include** Discovering Ampere’s Law, The Magnetic Field of a Current Sheet, The Magnetic Field Inside a Solenoid, The Magnetic Field Inside a Wire, Revising Ampere’s Law.

**Whole course with all units or more individual units available at ****https://www.teaching-point.net****.**

**Unit XIII: Faraday’s Law (15 to 16 days):** Students discover how a magnetic field that is changing or moving can induce an electromotive force. Students discover and investigate inductance and magnetic energy storage. Students discover that the fundamental laws of electricity and magnetism imply the existence of electromagnetic waves, and that such waves carry energy and momentum. Students also discover how the speed of such waves can be predicted.

**Topics include** Using Magnetic Force to Propel Electrons in a Wire, Induced Current and EMF, Generator-Capacitor Problem, Generating Magnetic EMF without Motion (experiment), Faraday’s Law, Predicting the EMF in a Rotating Loop, Introducing Inductance, Demonstrating Inductance (experiment or lab demonstration), The Inductor as an Energy Storage Device, Magnetic Energy Density, The Poynting Vector (optional), Cyclotrons and Betatrons, A Moving Electric Field Creates a Magnetic Field, Self-Reproducing Fields, Electromagnetic Momentum.

**Whole course with all units or more individual units available at ****https://www.teaching-point.net****.**

**Unit XIV: Special Theory of Relativity (14 days, more or less, pages):** Students discover that the speed of electromagnetic waves in a vacuum must be independent of the motion of the source or receiver. In working out the details and implications of this seemingly paradoxical behavior students discover time dilation, length contraction, the loss of simultaneity, the Lorentz-Einstein transformations and more. This material keeps things interesting for students after the A.P. exam. Instead of homework problems students can be assigned to write papers on certain aspects of relativity.

**Topics include** Electromagnetic Waves, The Train Paradox, Richard Feynman’s Famous Light-Clock, Time Transformation, Length of a Moving Object, The Longitudinal Light-Clock, Complete Lorentz Transformation, Relativistic Mass and Momentum, Relative Velocity and Acceleration, Relativistic Kinetic Energy, The Barn Paradox.

**Whole course with all units or more individual units available at ****https://www.teaching-point.net****.**