Quick answer: Electromagnetic induction produces an emf whenever the magnetic flux Φ = BA cos θ through a loop changes. This AP Physics 2 test on faraday's law has 8 questions worth 20 marks, to do in 45 minutes: flux through a coil, induced emf and approaching south pole. The mark scheme is on a separate page; free printable PDF.

This test covers magnetic flux, Faraday’s law, Lenz’s law and motional emf. It lasts 45 minutes and is worth 20 points. A calculator is allowed. Show the formula, the substitution and the unit for each calculation.
Level: AP Physics 2 (algebra-based) · Curriculum: AP P2 Unit 12
Question 1 Flux through a coil (2 marks)
A rectangular coil measures 12 cm by 8.0 cm. The coil is in a uniform field of 0.25 T, and the normal makes an angle of 40° with the field.
Calculate the magnetic flux through one turn. (2 marks)
Question 2 Induced emf (3 marks)
A coil of 300 turns has the flux through each turn fall from 4.0 mWb to 1.0 mWb in 0.050 s.
- Calculate the change in flux. (1 mark)
- Calculate the average emf. (1 mark)
- State what happens to the emf if the same change takes place in 0.025 s. (1 mark)
Question 3 Approaching south pole (3 marks)
A south pole moves towards a loop as shown.
- State the direction of the induced current as seen from the magnet side. (1 mark)
- Use Lenz’s law to explain your answer. (2 marks)
Question 4 Rod on rails (4 marks)
A rod of length 0.60 m moves at 2.5 m/s on rails in a field of 0.35 T. The circuit has total resistance 1.5 Ω.
- Calculate the emf. (1 mark)
- Calculate the current. (1 mark)
- Calculate the force needed to keep the speed constant. (1 mark)
- Calculate the power supplied by the force. (1 mark)
Question 5 Slow fall in a tube (2 marks)
A magnet falls more slowly through an aluminium tube than through a plastic tube of the same size. Explain why. (2 marks)
Question 6 Faraday’s law in words (2 marks)
State Faraday’s law of electromagnetic induction and explain what the minus sign represents. (2 marks)
Question 7 Units (2 marks)
Show that the unit Wb/s is equivalent to the volt. (2 marks)
Question 8 Loop leaving a field (2 marks)
A square loop moves out of a region of uniform field directed into the page, at constant speed.
- State the direction of the induced current. (1 mark)
- State what happens to the emf if the speed is doubled. (1 mark)

