AP Free Response Question
2013 B6
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Two long, straight horizontal wires are near each other and parallel, with one directly above the other as shown in the figure.
Wire X is fixed in place and connected to a battery (not shown) so that it carries a current of 65 A. Wire Y, which is part of a second circuit, is free to move vertically and is suspended at rest by the magnetic force between the wires. The mass per length of wire Y is 5.6 x 10
^{-3}
kg/m . Neglect effects from the parts of the circuits that are not shown.
(a) Calculate the magnitude of the magnetic field produced by wire X at the position of wire Y.
(b) i. Calculate the magnitude of the current in wire Y.
(b) ii. Indicate the direction of the current in wire Y.
____ To the left
____ To the right
____ Neither left nor right, since there is no current
(c) Now wire Y is moved to a new position that is closer to wire X, but wire Y is still below wire X and is still carrying the same current as determined in part (b). Wire Y is released from rest. Describe the initial motion of wire Y. Justify your answer.
(d) Suppose wire Y is moved to a position 0.025 m above wire X. What changes in current, if any, must occur to maintain equilibrium?
(e) With wire Y still above wire X, the circuit connected to wire Y is removed. Wire Y, which is 1.2 m long, is then moved vertically up and away from wire X at a constant speed of 3.0 m/s.
i. Calculate the magnitude of the induced emf in wire Y when the wires are 0.050 m apart.
ii. Indicate which end of wire Y is at a higher electric potential. Justify your answer.
____ The left end
____ The right end
____ Neither end, since they are at the same electric potential
Topic Formulas
Description
Published Formula
capacitors in parallel
capacitors in series
electric current
Faraday's Law
friction
gravitational potential energy
Hooke'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
Newton's 2nd Law
Newton's Law of Universal Gravitation
Ohm's Law
resistance in parallel
resistance in series
resistivity
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