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← AP Physics C: Electricity and Magnetism
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Prepare for the timed AP Physics C: Electricity and Magnetism test.

Your answers are held until submission. The final review identifies the units that need another pass.

AP Physics C: Electricity and Magnetism coverage and review map

Connect every question to the exact skill it rehearses. Work through the units in order, then return to any topic that still needs a hint or a second attempt.

01

Electrostatics

Coulomb's law, fields, Gauss's law

Goal: recognise a electrostatics problem from its wording, carry out the governing method, and check that the result is reasonable.

02

Conductors, Capacitors, and Dielectrics

Potential, energy, capacitance

Goal: recognise a conductors, capacitors, and dielectrics problem from its wording, carry out the governing method, and check that the result is reasonable.

03

Electric Circuits

Steady-state and transient RC behavior

Goal: recognise a electric circuits problem from its wording, carry out the governing method, and check that the result is reasonable.

04

Magnetic Fields

Forces, Biot-Savart, Ampère's law

Goal: recognise a magnetic fields problem from its wording, carry out the governing method, and check that the result is reasonable.

05

Electromagnetism

Induction, Faraday and Lenz laws

Goal: recognise a electromagnetism problem from its wording, carry out the governing method, and check that the result is reasonable.

AP Physics C: Electricity and Magnetism questions with worked answers

These 8 questions are printed in full on this page and are drawn across all 5 course units. Nothing here is generated on the fly. Cover the options, solve each one on paper, and only then open the worked answer to compare your method with the one shown.

Question 1: What is the electric field 0.2 m from a 4 microcoulomb point charge? Use k = 8.99 x 10^9.

AP Physics C: Electricity and Magnetism · Electrostatics

  1. about 9.0 x 10^5 N/C
  2. about 1.8 x 10^5 N/C
  3. about 3.6 x 10^4 N/C
  4. about 9.0 x 10^4 N/C
Show the worked answer
  1. The field of a point charge is kQ divided by the distance squared.
  2. kQ = 8.99 x 10^9 x 4 x 10^-6 = 3.596 x 10^4.
  3. The distance squared is 0.2^2 = 0.04.
  4. 3.596 x 10^4 / 0.04 = 8.99 x 10^5, about 9.0 x 10^5 N/C.

Answer: about 9.0 x 10^5 N/C

Question 2: What is the electric potential 0.5 m from a 3 microcoulomb point charge? Use k = 8.99 x 10^9.

AP Physics C: Electricity and Magnetism · Electrostatics

  1. about 5.4 x 10^4 V
  2. about 1.1 x 10^5 V
  3. about 2.7 x 10^4 V
  4. about 5.4 x 10^5 V
Show the worked answer
  1. Potential from a point charge is kQ divided by the distance, not the distance squared.
  2. kQ = 8.99 x 10^9 x 3 x 10^-6 = 2.697 x 10^4.
  3. Divide by r = 0.5.
  4. 2.697 x 10^4 / 0.5 = 5.394 x 10^4, about 5.4 x 10^4 V.

Answer: about 5.4 x 10^4 V

Question 3: A parallel-plate capacitor has plates of area 0.02 m^2 separated by 0.001 m of vacuum. What is its capacitance?

AP Physics C: Electricity and Magnetism · Conductors, Capacitors, and Dielectrics

  1. 177 pF
  2. 17.7 pF
  3. 1.77 nF
  4. 8.85 pF
Show the worked answer
  1. The formula is C = epsilon-zero times area divided by separation.
  2. epsilon-zero is 8.85 x 10^-12 F/m.
  3. Area over separation is 0.02 / 0.001 = 20 m.
  4. 8.85 x 10^-12 x 20 = 1.77 x 10^-10 F, which is 177 pF.

Answer: 177 pF

Question 4: How much energy is stored in a 200 microfarad capacitor charged to 50 V?

AP Physics C: Electricity and Magnetism · Conductors, Capacitors, and Dielectrics

  1. 0.25 J
  2. 0.5 J
  3. 0.005 J
  4. 2.5 J
Show the worked answer
  1. Stored energy is one half C times V squared.
  2. V squared is 50^2 = 2,500.
  3. C times V squared is 200 x 10^-6 x 2,500 = 0.5.
  4. Half of 0.5 is 0.25 J.

Answer: 0.25 J

Question 5: A 2,000 ohm resistor charges a 100 microfarad capacitor. What is the time constant, and what fraction of full charge is reached after one time constant?

AP Physics C: Electricity and Magnetism · Electric Circuits

  1. 0.2 s and about 63%
  2. 0.2 s and about 37%
  3. 2.0 s and about 63%
  4. 0.02 s and about 63%
Show the worked answer
  1. The time constant is resistance times capacitance.
  2. 2,000 x 100 x 10^-6 = 0.2 s.
  3. Charging follows 1 - e^(-t / RC), and at t = RC the exponential is e^-1 = 0.368.
  4. 1 - 0.368 = 0.632, so about 63% of full charge.

Answer: 0.2 s and about 63%

Question 6: A 4 ohm resistor and a 12 ohm resistor are in parallel. What is the equivalent resistance?

AP Physics C: Electricity and Magnetism · Electric Circuits

  1. 3 ohms
  2. 16 ohms
  3. 8 ohms
  4. 6 ohms
Show the worked answer
  1. For parallel resistors, add the reciprocals.
  2. 1/4 + 1/12 = 3/12 + 1/12 = 4/12 = 1/3.
  3. Take the reciprocal of that sum.
  4. The equivalent resistance is 3 ohms, smaller than either resistor as expected.

Answer: 3 ohms

Question 7: A long solenoid has 1,000 turns per meter and carries 2 A. What is the magnetic field inside? Use the permeability of free space, 4 pi x 10^-7.

AP Physics C: Electricity and Magnetism · Magnetic Fields

  1. about 2.5 x 10^-3 T
  2. about 2.5 x 10^-4 T
  3. about 1.3 x 10^-3 T
  4. about 8.0 x 10^-4 T
Show the worked answer
  1. Inside a long solenoid the field is the permeability times turns per meter times current.
  2. 4 pi x 10^-7 is about 1.2566 x 10^-6.
  3. Multiply by 1,000 turns per meter: 1.2566 x 10^-3.
  4. Multiply by 2 A: 2.513 x 10^-3 T.

Answer: about 2.5 x 10^-3 T

Question 8: A magnetic field through a 0.05 m^2 loop changes by 0.4 T in 0.2 s. What is the magnitude of the induced EMF?

AP Physics C: Electricity and Magnetism · Electromagnetism

  1. 0.1 V
  2. 0.02 V
  3. 1.0 V
  4. 0.4 V
Show the worked answer
  1. Faraday's law says the EMF equals the rate of change of magnetic flux.
  2. The flux change is the field change times the area: 0.4 x 0.05 = 0.02 Wb.
  3. Divide by the time taken: 0.02 / 0.2.
  4. That gives 0.1 V.

Answer: 0.1 V

Which unit each printed question belongs to

Use this map after marking your work. If two misses share a unit, review that unit before starting a generated set.

The 8 printed AP Physics C: Electricity and Magnetism questions, the unit each one tests, and its answer.
QuestionUnitWhat it asksAnswer
1ElectrostaticsWhat is the electric field 0.2 m from a 4 microcoulomb point charge? Use k = 8.99 x 10^9.about 9.0 x 10^5 N/C
2ElectrostaticsWhat is the electric potential 0.5 m from a 3 microcoulomb point charge? Use k = 8.99 x 10^9.about 5.4 x 10^4 V
3Conductors, Capacitors, and DielectricsA parallel-plate capacitor has plates of area 0.02 m^2 separated by 0.001 m of vacuum. What is its capacitance?177 pF
4Conductors, Capacitors, and DielectricsHow much energy is stored in a 200 microfarad capacitor charged to 50 V?0.25 J
5Electric CircuitsA 2,000 ohm resistor charges a 100 microfarad capacitor. What is the time constant, and what fraction of full charge is reached after one time constant?0.2 s and about 63%
6Electric CircuitsA 4 ohm resistor and a 12 ohm resistor are in parallel. What is the equivalent resistance?3 ohms
7Magnetic FieldsA long solenoid has 1,000 turns per meter and carries 2 A. What is the magnetic field inside? Use the permeability of free space, 4 pi x 10^-7.about 2.5 x 10^-3 T
8ElectromagnetismA magnetic field through a 0.05 m^2 loop changes by 0.4 T in 0.2 s. What is the magnitude of the induced EMF?0.1 V

How the generated AP Physics C: Electricity and Magnetism sets are created

The 8 questions above are fixed and checked. The generator at the top of the page is different: it writes fresh questions with AI from the course and unit information shown here, then the application checks each one for a complete prompt, four choices, one keyed answer, and an explanation. Generated questions are original practice—not official or released exam questions—and AI can still make mathematical mistakes. Verify a disputed answer with the stated method, your course materials, or the MathGPT solver, and follow the site's academic-integrity guidance.

Questions about this AP Physics C: Electricity and Magnetism course test

What does this page cover?

It covers all 5 AP Physics C: Electricity and Magnetism units listed above.

When can I see correct answers and explanations?

Submit the full test first. The result screen then shows every response, the correct answer, and the explanation so you can review each miss.

How long is each section of the AP Physics C: Electricity and Magnetism exam?

Multiple choice: 1 hour 25 minutes, 42 questions. Free response: 1 hour 35 minutes, 4 questions.

Which AP Physics C: Electricity and Magnetism sections allow a graphing calculator?

Rules change from section to section. Multiple choice: four-function, scientific, or graphing calculator. Free response: four-function, scientific, or graphing calculator. Provided for the whole exam: equations and constants table. Practise each section under its own rule.

Which AP Physics C: Electricity and Magnetism units does this test cover?

All five: Electrostatics, Conductors, Capacitors, and Dielectrics, Electric Circuits, Magnetic Fields, Electromagnetism. Study first: Gauss-law symmetry.

What should I check first when I review a missed AP Physics C: Electricity and Magnetism question?

RC circuits at the two limits. At the instant the switch closes an uncharged capacitor behaves like a wire; long afterwards it behaves like a break in the circuit. Students reverse these.

What should I do with a missed question?

Classify the miss as a definition, setup, calculation, interpretation, or timing error. Re-solve it from a blank page, then use the MathGPT tutor for a hint or method check.