AP Physics C: E&M study materials
AP Physics C: E&M study resources

AP Physics C: E&M case studies

AP Physics C: E&M · Put your knowledge to work in context.

AP Physics C: Electricity and Magnetism is a College Board Advanced Placement course and exam equivalent to a semester-long, introductory calculus-based college physics course. It is intended for students who have already taken a calculus-based Newtonian mechanics course such as AP Physics C: Mechanics (or its equivalent) and who have taken or are concurrently taking calculus. The AP Physics C: E&M case studies are 5 cases and about 1,710 words.

1

Charged Insulating Rod vs. Conducting Shell

A long solid insulating cylinder of radius a = 2.0 cm carries a uniform volume charge density ρ = +3.0×10⁻⁶ C/m³. It is coaxial with a thin conducting cylindrical shell of radius b = 6.0 cm carrying a net charge per unit length of −2.0×10⁻⁷ C/m.

376 words, about 2 min
2

Two Capacitors, One Switch, and a Stored-Energy Puzzle

Capacitor C₁ = 6.0 μF is charged to 12 V by a battery that is then removed. C₁ is then connected across an initially uncharged capacitor C₂ = 3.0 μF through a switch.

317 words, about 2 min
3

Non-Ohmic Filament in a Series Circuit

A small incandescent filament is described by a non-Ohmic relation V = kI² with k = 40 V/A² over its operating range. It is placed in series with a fixed resistor R = 10 Ω and an ideal 12 V battery.

280 words, about 1 min
4

Loop Entering a Field Region at Constant Speed

A rectangular conducting loop of width w = 0.20 m (along the direction of motion) and height h = 0.10 m has total resistance R = 0.50 Ω. It moves at constant speed v = 3.0 m/s into a region of uniform magnetic field B = 0.40 T pointing out of the page, confined to a strip of width 0.50 m.

374 words, about 2 min
5

Two Wires and a Compass: Superposition Under Constraint

Two long straight parallel wires run perpendicular to a tabletop, 0.30 m apart. Wire 1 carries current I₁ = 8.0 A into the table; wire 2 carries I₂ = 6.0 A out of the table.

363 words, about 2 min