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Volume I · MMXXVI AP Physics C: Electricity and Magnetism
Library AP Physics C: Electricity and Magnetism Unit 9: Electric Potential
⁂   AP Physics C: Electricity and Magnetism · Unit 9

9. Electric Potential

10–20% of the AP exam. 8 key topics. 4 common errors analyzed.

10–20% exam weight

Unit 9: Electric Potential

Unit 9 (Electric Potential) is part of the calculus-based AP Physics C: E&M curriculum. Gauss's Law, line integrals, and differential equations appear throughout — set up integrals carefully before evaluating.

Key topics in this unit

  1. Electric potential energy (U = qV) and work done by the electric force
  2. Electric potential from a point charge (V = kq/r) and superposition of potentials
  3. Electric potential from continuous charge distributions via integration
  4. Potential difference (ΔV) and its relationship to work
  5. Equipotential surfaces and their geometric relationship to field lines
  6. Relationship between electric field and potential: E = –dV/dr (1D) and E = –∇V (3D)
  7. Energy conservation in electric fields (K + U = constant)
  8. Electric potential inside and outside conductors (V = constant inside conductor)

Common errors — what the rubric penalizes

These are the most frequently penalized mistakes on AP exam FRQs and MCQs. Review each before your next practice session.

Common error

Treating electric potential as a vector — students attempt to add potentials using direction components, when potential is a scalar and superposition is purely algebraic.

Common error

Incorrectly applying E = –dV/dr in non-one-dimensional situations — failing to take partial derivatives or using the formula in a region where the field is not uniform without proper vector gradient treatment.

Common error

Confusing the sign conventions for work done by the electric force vs. work done against it when computing potential energy changes, leading to sign errors in energy conservation problems.

Common error

Assuming the electric potential is zero inside a conductor because the field is zero — failing to recognise that V is constant (not necessarily zero) inside, and that the constant value equals the surface potential.

Study checklist

  • Can you list all key topics from memory without this page?
  • Have you worked through at least one FRQ-style question per topic?
  • Can you explain each common error above — and why the correct answer differs?
  • Have you reviewed the relevant College Board CED section and formula sheet entries?
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