Free-response practice
Physics C: E&M free-response questions
Free-response questions (FRQs) are the part of the AP® Physics C: Electricity and Magnetism exam where you write your own answers. Here they're grouped the way the exam uses them. Write your answer, then score it yourself with the rubric and a model answer, or sign in for free AI scoring.
24 questions · 4 types
New for the May 2027 exam
- Free response is now 95 minutes (it was 100). College Board's announcement (opens in a new tab) (apcentral.collegeboard.org · CED clarifications, p. 1 (Exam Overview))
Mathematical routines (MR)
A multipart problem where you use math, including calculus, to analyze a physical situation. You draw or sketch a representation such as a diagram or a graph, derive an equation using letters, calculate a numerical answer with units, and make a claim or prediction and justify it with physics reasoning.
On the exam: Question 1 of 4. Section II has 4 questions in 95 minutes (50% of the exam score), one of each type in this order; calculator and equation sheet allowed. The CED suggests 20–25 minutes. Plan on about 22 minutes for one.
Unit 8
Sphere with a charge density that grows with radius
10 points · about 22 minutes · calculator allowed
Unit 11
Charging a capacitor through a resistor
10 points · about 22 minutes · calculator allowed
Units 8, 9 and 10
Capacitance of a coaxial cable
10 points · about 22 minutes · calculator allowed
Unit 13
A sliding rod slowed by induction
10 points · about 22 minutes · calculator allowed
Unit 12
Magnetic field at the center of two semicircular arcs
10 points · about 22 minutes · calculator allowed
Units 8 and 9
Field and potential on the axis of a charged ring
10 points · about 22 minutes · calculator allowed
Translation between representations (TBR)
A multipart problem about one situation shown in several ways. You draw a diagram, derive equations, sketch or draw graphs, and then explain whether your answers agree with each other or use them to predict what happens when the situation changes.
On the exam: Question 2 of 4. Section II has 4 questions in 95 minutes (50% of the exam score), one of each type in this order; calculator and equation sheet allowed. The CED suggests 25–30 minutes. Plan on about 28 minutes for one.
Units 8, 9 and 10
Point charge at the center of a charged conducting shell
12 points · about 28 minutes · calculator allowed
Units 11 and 13
Current growing in a resistor-inductor circuit
12 points · about 28 minutes · calculator allowed
Units 9 and 12
Sorting ions in a mass spectrometer
12 points · about 28 minutes · calculator allowed
Units 10 and 11
Sharing charge between two capacitors
12 points · about 28 minutes · calculator allowed
Unit 13
A square loop pulled through a magnetic field
12 points · about 28 minutes · calculator allowed
Unit 12
Magnetic field of a wire with a nonuniform current
12 points · about 28 minutes · calculator allowed
Experimental design and analysis (LAB)
A two-part lab question. First you design an experiment to answer a question: what you change, what you measure, the equipment and how you would analyze the data. Then you get a data table from a similar experiment, choose what to graph (often so the points fall on a straight line), plot it and use the slope, the intercept or the graph’s shape to answer a question.
On the exam: Question 3 of 4. Section II has 4 questions in 95 minutes (50% of the exam score), one of each type in this order; calculator and equation sheet allowed. The CED suggests 25–30 minutes. Plan on about 27 minutes for one.
Unit 11
Measuring the resistivity of nichrome wire
10 points · about 27 minutes · calculator allowed
Units 10 and 11
Finding a capacitance from a discharge
10 points · about 27 minutes · calculator allowed
Unit 12
Measuring the vacuum permeability with a long wire
10 points · about 27 minutes · calculator allowed
Unit 10
Finding the dielectric constant of a plastic
10 points · about 27 minutes · calculator allowed
Units 12 and 13
Counting a solenoid's turns with induction
10 points · about 27 minutes · calculator allowed
Units 8 and 9
Measuring the charge on a hanging ball
10 points · about 27 minutes · calculator allowed
Qualitative/quantitative translation (QQT)
A shorter multipart problem that connects reasoning in words with an equation. You make and justify a claim without equations, derive an equation from a physics principle, and then explain whether the two agree or use them to predict what happens in a changed situation.
On the exam: Question 4 of 4. Section II has 4 questions in 95 minutes (50% of the exam score), one of each type in this order; calculator and equation sheet allowed. The CED suggests 15–20 minutes. Plan on about 18 minutes for one.
Units 9 and 10
Two conducting spheres joined by a wire
8 points · about 18 minutes · calculator allowed
Unit 9
A proton and an alpha particle crossing the same gap
8 points · about 18 minutes · calculator allowed
Unit 11
Adding a parallel resistor to a real battery
8 points · about 18 minutes · calculator allowed
Unit 8
Electric field inside and outside a thick charged slab
8 points · about 18 minutes · calculator allowed
Unit 13
Comparing two LC oscillators
8 points · about 18 minutes · calculator allowed
Unit 13
Two falling loops made of thick and thin wire
8 points · about 18 minutes · calculator allowed