Two long parallel wires, located one above the other and separated by a distance of 22 cm, carry currents in the horizontal direction, as shown below. Wire 1 carries a current of 3.7 A to the right. Wire 2 carries a current of unknown magnitude and direction. The net magnetic field at point A (located 11 cm below wire 2) has magnitude 3.5 x 10-7 T and is directed into the page. 3.7 A (a) (b) (c) Wire 1 Wire 2 A! 22 cm 11 cm Find the magnitude and direction of the current in wire 2. (Hint: You may want to begin by finding the magnetic field produced by wire 1 at point A.) Suppose a particle is moving downward (within the plane of the page, away from wire 2) at a speed of 2.5 x 104 m/s as it passes point A. It experiences a leftward magnetic force of magnitude 5.0 x 10-12 N at this point. Determine the charge of the particle (with correct magnitude and sign). (Hint: The answer can be obtained in one or two lines, and does not depend on your result from part (a).) What is the specific direction of the magnetic force exerted by wire 2 on wire 1? Justify your answer briefly.

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Two long parallel wires, located one above the other and separated by a distance of 22 cm, carry
currents in the horizontal direction, as shown below. Wire 1 carries a current of 3.7 A to the
right. Wire 2 carries a current of unknown magnitude and direction. The net magnetic field at
point A (located 11 cm below wire 2) has magnitude 3.5 x 10-7 T and is directed into the page.
(a)
(b)
(c)
Wire 1
Wire 2
3.7 A
A!
22 cm
11 cm
Find the magnitude and direction of the current in wire 2. (Hint: You may want to begin
by finding the magnetic field produced by wire 1 at point A.)
Suppose a particle is moving downward (within the plane of the page, away from wire 2)
at a speed of 2.5 x 104 m/s as it passes point A. It experiences a leftward magnetic force
of magnitude 5.0 x 10-12 N at this point. Determine the charge of the particle (with
correct magnitude and sign). (Hint: The answer can be obtained in one or two lines, and
does not depend on your result from part (a).)
What is the specific direction of the magnetic force exerted by wire 2 on wire 1? Justify
your answer briefly.
Transcribed Image Text:Two long parallel wires, located one above the other and separated by a distance of 22 cm, carry currents in the horizontal direction, as shown below. Wire 1 carries a current of 3.7 A to the right. Wire 2 carries a current of unknown magnitude and direction. The net magnetic field at point A (located 11 cm below wire 2) has magnitude 3.5 x 10-7 T and is directed into the page. (a) (b) (c) Wire 1 Wire 2 3.7 A A! 22 cm 11 cm Find the magnitude and direction of the current in wire 2. (Hint: You may want to begin by finding the magnetic field produced by wire 1 at point A.) Suppose a particle is moving downward (within the plane of the page, away from wire 2) at a speed of 2.5 x 104 m/s as it passes point A. It experiences a leftward magnetic force of magnitude 5.0 x 10-12 N at this point. Determine the charge of the particle (with correct magnitude and sign). (Hint: The answer can be obtained in one or two lines, and does not depend on your result from part (a).) What is the specific direction of the magnetic force exerted by wire 2 on wire 1? Justify your answer briefly.
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