AP Free Response Question
2004 Form B - B4
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A 20-turn wire coil in the shape of a rectangle, 0.25 m by 0.15 m, has a resistance of 5.0 ohms. In position 1 shown above, the loop is in a uniform magnetic field B of 0.20 T. The field is directed out of the page, perpendicular to the plane of the loop. The loop is pulled to the right at a constant velocity, reaching position 2 in 0.50 seconds, where B is equal to zero.
(a) Calculate the average emf induced in the 20-turn coil during this period.
(b) Calculate the magnitude of the current induced in the 20-turn coil state its direction.
(c) Calculate the power dissipated in the 20-turn coil.
(d) Calculate the magnitude of the average force necessary to remove the 20-turn coil from the magnetic field.
(e) Identical wire is used to add 20 more turns of wire to the original coil. How does this affect the current in the coil? Justify your answer.
Topic Formulas
Description
Published Formula
capacitors in parallel
capacitors in series
electric current
Faraday's Law
Joule's Law
magnetic field around a current-carrying wire
magnetic flux
magnetic force on a current-carrying wire
magnetic force on a moving charge
motional emf
Ohm's Law
resistance in parallel
resistance in series
resistivity
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