Electricity and Magnetism Demands More Than Memorized Formulas
AP Physics C: Electricity and Magnetism is widely considered one of the most challenging AP exams offered by the College Board. The exam covers the second-semester physics sequence for science and engineering majors at the college level — material that many students encounter for the first time in this course. The mean score typically falls between 3.2 and 3.5, and roughly 30% of test-takers score a 1 or 2.
The difficulty comes from the intersection of abstract electromagnetic concepts and calculus-level mathematics. Gauss's law requires setting up surface integrals. Ampere's law demands path integrals around current distributions. Faraday's law connects changing magnetic flux to induced EMF through time derivatives. Students who memorize formulas without understanding how to apply them in novel configurations consistently underperform.
Our AP Physics C: E&M practice test delivers 35 questions that mirror the actual exam in format, topic distribution, and mathematical complexity. Every answer includes a complete worked solution. The cost: $49.99. Retests: $25.00.
This is an independent practice test designed to mirror the AP Physics C: E&M exam. It is not produced by or affiliated with the College Board. AP is a registered trademark of the College Board.
What the AP Physics C: E&M Exam Covers
The exam is 90 minutes long: 35 multiple-choice questions (45 minutes) and 3 free-response questions (45 minutes). The content spans five domains:
Electrostatics
- Coulomb's law — force between point charges, superposition principle
- Electric fields — field due to point charges, continuous charge distributions
- Gauss's law — calculating electric flux and using symmetry to find electric fields
- Electric potential — potential energy, voltage, equipotential surfaces
Conductors and Capacitors
- Conductors in electrostatic equilibrium — field inside is zero, charge resides on surface
- Capacitance — parallel plates, spherical and cylindrical geometries
- Dielectrics — how insulating materials affect capacitance and stored energy
Electric Circuits
- Current and resistance — Ohm's law, resistivity, power dissipation
- DC circuits — series and parallel combinations, Kirchhoff's rules
- RC circuits — charging and discharging behavior, time constants
Magnetic Fields
- Forces on moving charges and current-carrying wires — Lorentz force, right-hand rules
- Biot-Savart law — magnetic field from current elements
- Ampere's law — using symmetry to calculate magnetic fields
Electromagnetic Induction
- Faraday's law — induced EMF from changing magnetic flux
- Lenz's law — direction of induced current opposes the change
- Inductance — self-inductance, RL circuits, energy stored in magnetic fields
The ALA Mirror Method: Precision-Engineered Practice
This test is built using the ALA Mirror Method, the same framework behind assessments created for Disney, Microsoft, Warner Bros, the Smithsonian, and over 1,400 organizations worldwide.
- 35 multiple-choice questions matching the real exam count
- Proportional topic coverage across all five electromagnetic domains
- Calculus-level problems requiring Gauss's law, Ampere's law, and Faraday's law applications
- Complete worked solutions for every question, including mathematical derivations
Written under the direction of Timothy E. Parker, the Guinness World Records Puzzle Master.
2 Sample Questions with Full Explanations
A point charge q is located at the center of a spherical Gaussian surface of radius R. If the radius is doubled to 2R, what happens to the total electric flux through the surface?
- A) It quadruples
- B) It doubles
- C) It remains the same
- D) It is halved
- E) It decreases by a factor of four
Correct Answer: C. By Gauss's law, the total electric flux through a closed surface equals the enclosed charge divided by epsilon_0. Since the enclosed charge does not change when the Gaussian surface expands, the total flux remains identical. The electric field decreases as 1/r^2, but the surface area increases as r^2, and these effects cancel exactly.
Two parallel conducting plates separated by distance d carry surface charge densities +sigma and -sigma. Using Gauss's law, what is the magnitude of the electric field between the plates?
- A) sigma / (2 * epsilon_0)
- B) sigma / epsilon_0
- C) 2 * sigma / epsilon_0
- D) sigma * d / epsilon_0
- E) sigma / (4 * pi * epsilon_0)
Correct Answer: B. Each infinite plate produces a field of sigma/(2*epsilon_0) on each side. Between the plates, the fields from both plates point in the same direction (from positive to negative), so they add: E = sigma/epsilon_0. Outside the plates, the fields cancel to zero. This result is fundamental to parallel-plate capacitor analysis and can also be derived directly from a Gauss's law pillbox construction.
What Your Diagnostic Report Includes
- Overall score calibrated to the AP 1–5 scale
- Domain breakdown across electrostatics, conductors, circuits, magnetism, and induction
- Question-by-question analysis with complete worked solutions
- Difficulty performance curve showing results across easy, medium, and hard tiers
- Weakness identification pinpointing the concepts costing you the most points
- Personalized study plan targeting highest-impact improvement areas
The 5 Dimensions We Measure
1. Electrostatics
Coulomb's law, electric fields from point and continuous charges, Gauss's law applications, and electric potential. This dimension tests your ability to set up and evaluate integrals in electromagnetic contexts.
2. Conductors and Capacitors
Properties of conductors in equilibrium, capacitance calculations for various geometries, dielectric effects, and energy storage. These problems demand conceptual clarity about boundary conditions.
3. Electric Circuits
DC circuit analysis using Kirchhoff's rules, RC transient behavior, and power dissipation. The calculus enters through exponential charging and discharging functions.
4. Magnetic Fields
The Lorentz force, Biot-Savart law, and Ampere's law. These problems test your ability to determine field direction and magnitude from current configurations.
5. Electromagnetic Induction
Faraday's law, Lenz's law, inductance, and RL circuits. This is where the full calculus toolkit comes together — time derivatives, flux integrals, and transient circuit behavior.
Pricing
35 questions · full diagnostic · every answer explained
Start Your AP Physics C: E&M TestRetest: $25.00 · Private tutor: $150+/hr · Prep courses: $299+
One payment. No subscription. You get the complete 35-question test, the full diagnostic report, and detailed worked solutions for every answer. Retests available at $25.00.
Frequently Asked Questions
How many questions are on the AP Physics C: E&M practice test?
35 multiple-choice questions covering electrostatics, conductors and capacitors, circuits, magnetic fields, and electromagnetic induction.
Does this test require calculus?
Yes. AP Physics C: E&M is calculus-based. Problems require Gauss's law integrals, Ampere's law path integrals, and Faraday's law time derivatives.
How much does it cost?
$49.99 for the full test. Retests are $25.00.
Can I retake the test?
Yes. Retests cost $25.00 with a fresh diagnostic report.
Who writes the questions?
All questions are written under the direction of Timothy E. Parker, the Guinness World Records Puzzle Master, who has created assessments for over 1,400 organizations worldwide.
35 Questions. Every Answer Explained. $49.99.
Calculus-level E&M prep built by the Guinness World Records Puzzle Master, with the depth of a private tutor at a fraction of the cost.
Start Your AP Physics C: E&M TestAP is a registered trademark of the College Board, which is not affiliated with and does not endorse US Testing Center or this practice test. Score estimates are approximations. All content © 2026 Advanced Learning Academy LLC. Contact [email protected].