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In using a magnet to find north, the term "declination" represents


A) the degree of weakness of the magnetic field.
B) the angle above the horizontal of the earth's magnetic field.
C) another term for "angle of dip."
D) the angle below the horizontal of the earth's magnetic field.
E) not given

F) A) and B)
G) A) and C)

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The force on a current-carrying wire in a magnetic field is equal to zero when


A) the current is parallel to the field lines.
B) the current is at a 30° angle with respect to the field lines.
C) the current is at a 45° angle with respect to the field lines.
D) the current is at a 60° angle with respect to the field lines.
E) the current is perpendicular to the field lines.

F) B) and D)
G) C) and E)

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A wire, 0.60 m in length, is carrying a current of 2.0 A and is placed at a certain angle with respect to the magnetic field of strength 0.30 T. If the wire experiences a force of 0.18 N, what angle does the wire make with respect to the magnetic field?


A) 20°
B) 25°
C) 30°
D) 35°
E) 60°

F) All of the above
G) B) and E)

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A charged particle is moving with speed v perpendicular to a uniform magnetic field. A second identical charged particle is moving with speed 2v perpendicular to the same magnetic field. The frequency of revolution of the first particle is f. The frequency of revolution of the second particle is


A) f.
B) 4f.
C) f/2.
D) f/4.
E) 2f.

F) A) and C)
G) A) and E)

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A proton, moving east, enters a magnetic field of a certain strength. Because of this field the proton curves downward. What is the direction of the magnetic field?


A) towards the south
B) towards the north
C) downward
D) upward
E) towards the west

F) A) and E)
G) A) and D)

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A loop of diameter d = 12 cm, carrying a current I = 0.4 A is placed inside a magnetic field A loop of diameter d = 12 cm, carrying a current I = 0.4 A is placed inside a magnetic field   = (0.2 T)    + (0.4 T)    . The normal to the loop is parallel to the unit vector   . What is the potential energy of the loop? A) -4.5 × 10<sup>-4</sup> J B) +9.0 × 10<sup>-4</sup> J C) -9.0 × 10<sup>-4</sup> J D) -2.3 × 10<sup>-4</sup> J E) +4.5 × 10<sup>-4</sup> J = (0.2 T) A loop of diameter d = 12 cm, carrying a current I = 0.4 A is placed inside a magnetic field   = (0.2 T)    + (0.4 T)    . The normal to the loop is parallel to the unit vector   . What is the potential energy of the loop? A) -4.5 × 10<sup>-4</sup> J B) +9.0 × 10<sup>-4</sup> J C) -9.0 × 10<sup>-4</sup> J D) -2.3 × 10<sup>-4</sup> J E) +4.5 × 10<sup>-4</sup> J + (0.4 T) A loop of diameter d = 12 cm, carrying a current I = 0.4 A is placed inside a magnetic field   = (0.2 T)    + (0.4 T)    . The normal to the loop is parallel to the unit vector   . What is the potential energy of the loop? A) -4.5 × 10<sup>-4</sup> J B) +9.0 × 10<sup>-4</sup> J C) -9.0 × 10<sup>-4</sup> J D) -2.3 × 10<sup>-4</sup> J E) +4.5 × 10<sup>-4</sup> J . The normal to the loop is parallel to the unit vector A loop of diameter d = 12 cm, carrying a current I = 0.4 A is placed inside a magnetic field   = (0.2 T)    + (0.4 T)    . The normal to the loop is parallel to the unit vector   . What is the potential energy of the loop? A) -4.5 × 10<sup>-4</sup> J B) +9.0 × 10<sup>-4</sup> J C) -9.0 × 10<sup>-4</sup> J D) -2.3 × 10<sup>-4</sup> J E) +4.5 × 10<sup>-4</sup> J . What is the potential energy of the loop?


A) -4.5 × 10-4 J
B) +9.0 × 10-4 J
C) -9.0 × 10-4 J
D) -2.3 × 10-4 J
E) +4.5 × 10-4 J

F) B) and C)
G) D) and E)

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A proton travels through a potential of 1.0 kV and then moves into a magnetic field of 0.040 T. What is the radius of the proton's resulting orbit?


A) 0.080 m
B) 0.11 m
C) 0.14 m
D) 0.17 m
E) 0.19 m

F) D) and E)
G) B) and C)

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B

A charged particle is injected into a uniform magnetic field such that its velocity vector is perpendicular to the magnetic field vector. Ignoring the particle's weight, the particle will


A) move in a straight line.
B) follow a spiral path.
C) move along a parabolic path.
D) move along a hyperbolic path.
E) follow a circular path.

F) A) and B)
G) C) and D)

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E

An electron moves with a speed of 3.0 × 104 m/s perpendicular to a uniform magnetic field of 0.40 T. What is the magnitude of the magnetic force on the electron?


A) 4.8 × 10-14 N
B) 1.9 × 10-15 N
C) 5 × 10-20 N
D) 2.2 × 10-24 N
E) zero

F) B) and D)
G) A) and E)

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A wire is carrying current vertically downward. What is the direction of the force due to Earth's magnetic field on the wire?


A) horizontally towards the north
B) horizontally towards the south
C) horizontally towards the east
D) horizontally towards the west
E) vertically upward

F) C) and D)
G) A) and D)

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C

In a Hall experiment a conducting strip of thickness d = 100 μm is placed in a magnetic field B = 0.0 5 T. The magnetic field is perpendicular to the direction of the strip along which there is a 10-A current. What is the Hall voltage measured across the strip if the charge carrier density is 2.5 × 1028/m3 in this material?


A) 1.3 μV
B) 2.5 μV
C) 0.72 μV
D) 6.2 μV
E) 4.2 μV

F) A) and E)
G) A) and D)

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A proton is moving at a speed of 3.2 × 106 m/s at an angle of 80° to a uniform magnetic field of strength 1.5 × 10-4 T. What is the distance moved by the proton along the spiral path as it completes one revolution? (This distance is called the "pitch" of the helix.)


A) 1370 m
B) 1390 m
C) 240 m
D) 220 m
E) cannot be determined

F) A) and C)
G) None of the above

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FIGURE 27-10 FIGURE 27-10   -A horizontal, long current-carrying wire is hanging from a vertical thread. The current is oriented into the plane of Fig. 27-10 shown above. A uniform magnetic field B = 0.4 T is applied along the negative y-axis and the wire is pulled and angle θ away from the vertical by a magnetic force. The wire has a length L = 80 cm, a mass m = 50 g and carries a current I = 0.3A. What is the value of the angle θ? A) 25° B) 67° C) 3° D) 45° E) 11° -A horizontal, long current-carrying wire is hanging from a vertical thread. The current is oriented into the plane of Fig. 27-10 shown above. A uniform magnetic field B = 0.4 T is applied along the negative y-axis and the wire is pulled and angle θ away from the vertical by a magnetic force. The wire has a length L = 80 cm, a mass m = 50 g and carries a current I = 0.3A. What is the value of the angle θ?


A) 25°
B) 67°
C) 3°
D) 45°
E) 11°

F) B) and D)
G) A) and D)

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An alpha particle is moving at a speed of 5 × 105 m/s in a direction perpendicular to a uniform magnetic field of strength 4 × 10-2 T. The charge on an alpha particle is 3.2 × 10-19 C and its mass is 6.6 × 10-27 kg. (a) The radius of the path of the alpha particle is (b) The time it takes the alpha particle to complete one revolution around its path is

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(a) 0.26 m...

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FIGURE 27-4 FIGURE 27-4   -Three particles travel through a region of space where the magnetic field is out of the page, as shown in Fig. 27-4. The electric charge of each of the three particles is, respectively, A) 1 is neutral, 2 is negative, and 3 is positive. B) 1 is neutral, 2 is positive, and 3 is negative. C) 1 is positive, 2 is neutral, and 3 is negative. D) 1 is positive, 2 is negative, and 3 is neutral. E) 1 is negative, 2 is neutral, and 3 is positive. -Three particles travel through a region of space where the magnetic field is out of the page, as shown in Fig. 27-4. The electric charge of each of the three particles is, respectively,


A) 1 is neutral, 2 is negative, and 3 is positive.
B) 1 is neutral, 2 is positive, and 3 is negative.
C) 1 is positive, 2 is neutral, and 3 is negative.
D) 1 is positive, 2 is negative, and 3 is neutral.
E) 1 is negative, 2 is neutral, and 3 is positive.

F) B) and E)
G) B) and D)

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The direction of the force on a current-carrying wire in a magnetic field is described by which of the following?


A) parallel to the current only
B) parallel to the magnetic field only
C) perpendicular to the current only
D) perpendicular to the magnetic field only
E) perpendicular to both the current and the magnetic field

F) All of the above
G) A) and E)

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A 2-m long wire is carrying a current of 2 A. The wire is placed at an angle of 60° with respect to a magnetic field. If the wire experiences a force of 0.2 N, what is the strength of the magnetic field?


A) 0.02 T
B) 0.03 T
C) 0.04 T
D) 0.05 T
E) 0.06 T

F) A) and D)
G) C) and E)

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A circular loop of wire of cross-sectional area 0.12 m2 consists of 200 turns, each carrying 0.50 A. It is placed in a magnetic field of 0.050 T oriented at 30° to the plane of the loop. What torque acts on the loop?


A) 0.25 m∙N
B) 0.52 m∙N
C) 2.5 m∙N
D) 5.2 m∙N
E) 25 m∙N

F) D) and E)
G) A) and E)

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FIGURE 27-2 FIGURE 27-2   -A horizontal, long current-carrying wire is hanging from a vertical thread. The current is oriented into the plane of Fig. 27-2 shown above. A uniform magnetic field is applied and the wire is pulled away from the vertical. Which of the arrows labeled A to D correctly indicate the direction of the magnetic field? A) A B) B C) C D) D E) The magnetic field is oriented into the plane of the picture. -A horizontal, long current-carrying wire is hanging from a vertical thread. The current is oriented into the plane of Fig. 27-2 shown above. A uniform magnetic field is applied and the wire is pulled away from the vertical. Which of the arrows labeled A to D correctly indicate the direction of the magnetic field?


A) A
B) B
C) C
D) D
E) The magnetic field is oriented into the plane of the picture.

F) B) and E)
G) C) and D)

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The figure below shows 2 bar magnets of the same size and the same strength. Which of the arrows labeled A to D correctly represents the direction of the magnetic field at a point located at the common origin of the arrows? (That point is at an equal distance from the two magnets.) The figure below shows 2 bar magnets of the same size and the same strength. Which of the arrows labeled A to D correctly represents the direction of the magnetic field at a point located at the common origin of the arrows? (That point is at an equal distance from the two magnets.)    A) A B) B C) C D) D E) The field is oriented perpendicular to the figure into the page.


A) A
B) B
C) C
D) D
E) The field is oriented perpendicular to the figure into the page.

F) A) and C)
G) C) and E)

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