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Volume I · MMXXVI AP Physics C: Electricity and Magnetism
Library AP Physics C: Electricity and Magnetism Unit 11: Electric Circuits
⁂   AP Physics C: Electricity and Magnetism · Unit 11

11. Electric Circuits

15–25% of the AP exam. 9 key topics. 4 common errors analyzed.

15–25% exam weight

Unit 11: Electric Circuits

Unit 11 (Electric Circuits) 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. Current density, drift velocity, and resistivity (ρ)
  2. Resistance: R = ρL/A; Ohm's Law: V = IR
  3. Power dissipation: P = IV = I²R = V²/R
  4. EMF sources, terminal voltage, and internal resistance
  5. Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL)
  6. Series and parallel resistor networks: equivalent resistance
  7. RC circuits: charging q(t) = Q_max(1 – e^(–t/RC)) and discharging q(t) = Q₀e^(–t/RC); time constant τ = RC
  8. RL circuits: current build-up and decay; time constant τ = L/R
  9. Initial and final conditions: capacitor as wire (t = 0, uncharged) or open circuit (t → ∞); inductor as open circuit (t = 0, no current) or wire (t → ∞)

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

Misidentifying initial/final conditions for capacitors and inductors in transient circuits — students confuse which element acts as a short circuit or open circuit at t = 0 and t → ∞, producing incorrect expressions for q(t) or I(t).

Common error

Setting up Kirchhoff's equations with incorrect sign conventions — choosing inconsistent current directions or loop traversal directions and then failing to apply the sign rules for EMFs and resistors uniformly, yielding a system of equations that does not solve correctly.

Common error

Treating RC/RL time-domain equations as algebraic rather than differential — students memorise q(t) = Q_max(1 – e^(–t/RC)) without deriving it from the governing ODE, so they cannot adapt the formula when initial conditions differ from the standard case (e.g., partially charged capacitor).

Common error

Conflating series and parallel rules for resistors vs. capacitors — the reciprocal sum applies to parallel resistors and series capacitors, while the direct sum applies to series resistors and parallel capacitors; students frequently apply the wrong rule.

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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