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The track ABC in the figure is a reproduction of the path of a charged particle in a cloud chamber. If the magnetic field is perpendicular to this sheet of paper and directed into the paper, the particle A) has a positive charge and has moved from C to A. B) has a negative charge and has moved from C to A. C) has a positive charge and has moved from A to C. D) has a negative charge and has moved from A to C. E) is an alpha particle. The track ABC in the figure is a reproduction of the path of a charged particle in a cloud chamber. If the magnetic field is perpendicular to this sheet of paper and directed into the paper, the particle


A) has a positive charge and has moved from C to A.
B) has a negative charge and has moved from C to A.
C) has a positive charge and has moved from A to C.
D) has a negative charge and has moved from A to C.
E) is an alpha particle.

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A beam of charged particles moving with a speed of 106 m/s enters a uniform magnetic field of 0.1 T at right angles to the direction of motion. If the particles move in a radius of 0.2 m, then calculate their period of motion.


A) 6.3 *10-7 s
B) 1.3* 10-7 s
C) 1.3 *10-6 s
D) 4.1 * 10-7 s
E) none of the above

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Use the diagram for the next three problems. Use the diagram for the next three problems. Electrons traveling at a speed of v<sub>0</sub> = 3 * 10<sup>7</sup> m/s pass through the deflection plates. The electric field between the plates is E = 5000 V/m and spans a distance of x<sub>1</sub> = 5 cm. The electrons then travel a further distance of x<sub>2</sub> = 40 cm along the x-axis. -In which direction should the magnetic field be applied so that the electron lands undeflected at a? A) 1 B) 2 C) 3 D) 4 E) 5 Electrons traveling at a speed of v0 = 3 * 107 m/s pass through the deflection plates. The electric field between the plates is E = 5000 V/m and spans a distance of x1 = 5 cm. The electrons then travel a further distance of x2 = 40 cm along the x-axis. -In which direction should the magnetic field be applied so that the electron lands undeflected at a?


A) 1
B) 2
C) 3
D) 4
E) 5

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A rectangular loop of wire (0.10 m by 0.20 m) carries a current of 5.0 A in a counterclockwise direction. The loop is oriented as shown in a uniform magnetic field. The magnetic dipole moment associated with this loop has a value of A) 0.026 A · m<sup>2 </sup> B) 0.030 A · m<sup>2 </sup> C) 0.10 A · m<sup>2 </sup> D) 0.50 A · m<sup>2 </sup> E) 1.5 A · m<sup>2 </sup> A rectangular loop of wire (0.10 m by 0.20 m) carries a current of 5.0 A in a counterclockwise direction. The loop is oriented as shown in a uniform magnetic field. The magnetic dipole moment associated with this loop has a value of


A) 0.026 A · m2
B) 0.030 A · m2
C) 0.10 A · m2
D) 0.50 A · m2
E) 1.5 A · m2

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A positive ion is shown midway between the two dees of a cyclotron; at this instant its velocity is in the positive x direction. Which of the five arrangements of the electric, , and magnetic, , fields shown is applicable to the situation depicted? A) 1 B) 2 C) 3 D) 4 E) 5 A positive ion is shown midway between the two dees of a cyclotron; at this instant its velocity is in the positive x direction. Which of the five arrangements of the electric, A positive ion is shown midway between the two dees of a cyclotron; at this instant its velocity is in the positive x direction. Which of the five arrangements of the electric, , and magnetic, , fields shown is applicable to the situation depicted? A) 1 B) 2 C) 3 D) 4 E) 5 , and magnetic, A positive ion is shown midway between the two dees of a cyclotron; at this instant its velocity is in the positive x direction. Which of the five arrangements of the electric, , and magnetic, , fields shown is applicable to the situation depicted? A) 1 B) 2 C) 3 D) 4 E) 5 , fields shown is applicable to the situation depicted?


A) 1
B) 2
C) 3
D) 4
E) 5

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A compass needle is in a homogeneous magnetic field A compass needle is in a homogeneous magnetic field with its south pole pointing in the positive direction of . The net force on the compass needle is A) zero. B) in the same direction as . C) at a right angle to . D) at right angles to the plane of and the needle. E) in the opposite direction of . with its south pole pointing in the positive direction of A compass needle is in a homogeneous magnetic field with its south pole pointing in the positive direction of . The net force on the compass needle is A) zero. B) in the same direction as . C) at a right angle to . D) at right angles to the plane of and the needle. E) in the opposite direction of . . The net force on the compass needle is


A) zero.
B) in the same direction as A compass needle is in a homogeneous magnetic field with its south pole pointing in the positive direction of . The net force on the compass needle is A) zero. B) in the same direction as . C) at a right angle to . D) at right angles to the plane of and the needle. E) in the opposite direction of . .
C) at a right angle to A compass needle is in a homogeneous magnetic field with its south pole pointing in the positive direction of . The net force on the compass needle is A) zero. B) in the same direction as . C) at a right angle to . D) at right angles to the plane of and the needle. E) in the opposite direction of . .
D) at right angles to the plane of A compass needle is in a homogeneous magnetic field with its south pole pointing in the positive direction of . The net force on the compass needle is A) zero. B) in the same direction as . C) at a right angle to . D) at right angles to the plane of and the needle. E) in the opposite direction of . and the needle.
E) in the opposite direction of A compass needle is in a homogeneous magnetic field with its south pole pointing in the positive direction of . The net force on the compass needle is A) zero. B) in the same direction as . C) at a right angle to . D) at right angles to the plane of and the needle. E) in the opposite direction of . .

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The track in the figure is a reproduction of the path of a charged particle in a cloud chamber. If the magnetic field is perpendicular to this sheet of paper, and directed out of the paper, the particle A) has a positive charge and has moved from C to A. B) has a negative charge and has moved from C to A. C) has a positive charge and has moved from A to C. D) has a negative charge and has moved from A to C. E) is an alpha particle. The track in the figure is a reproduction of the path of a charged particle in a cloud chamber. If the magnetic field is perpendicular to this sheet of paper, and directed out of the paper, the particle


A) has a positive charge and has moved from C to A.
B) has a negative charge and has moved from C to A.
C) has a positive charge and has moved from A to C.
D) has a negative charge and has moved from A to C.
E) is an alpha particle.

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A positively charged particle is moving through uniform fields and , which are directed in the positive x and positive y directions, respectively. If there is no resultant force on the particle, then its velocity is in the A) positive x direction. B) positive y direction. C) negative x direction. D) positive z direction. E) negative z direction. A positively charged particle is moving through uniform fields A positively charged particle is moving through uniform fields and , which are directed in the positive x and positive y directions, respectively. If there is no resultant force on the particle, then its velocity is in the A) positive x direction. B) positive y direction. C) negative x direction. D) positive z direction. E) negative z direction. and A positively charged particle is moving through uniform fields and , which are directed in the positive x and positive y directions, respectively. If there is no resultant force on the particle, then its velocity is in the A) positive x direction. B) positive y direction. C) negative x direction. D) positive z direction. E) negative z direction. , which are directed in the positive x and positive y directions, respectively. If there is no resultant force on the particle, then its velocity is in the


A) positive x direction.
B) positive y direction.
C) negative x direction.
D) positive z direction.
E) negative z direction.

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D

An electron moving with velocity v enters a region where there is a uniform magnetic field B . As the electron moves through this region, it is A) deflected in the positive y direction. B) deflected in the positive z direction. C) deflected in the negative y direction. D) deflected in the negative z direction. E) undeviated in its motion. An electron moving with velocity v An electron moving with velocity v enters a region where there is a uniform magnetic field B . As the electron moves through this region, it is A) deflected in the positive y direction. B) deflected in the positive z direction. C) deflected in the negative y direction. D) deflected in the negative z direction. E) undeviated in its motion. enters a region where there is a uniform magnetic field B An electron moving with velocity v enters a region where there is a uniform magnetic field B . As the electron moves through this region, it is A) deflected in the positive y direction. B) deflected in the positive z direction. C) deflected in the negative y direction. D) deflected in the negative z direction. E) undeviated in its motion. . As the electron moves through this region, it is


A) deflected in the positive y direction.
B) deflected in the positive z direction.
C) deflected in the negative y direction.
D) deflected in the negative z direction.
E) undeviated in its motion.

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B

A positively charged particle moves with velocity v along the x axis. A uniform magnetic field -B exists in the negative z direction. You want to balance the magnetic force with an electric field so that the particle will continue along a straight line. The electric field should be in the A) positive x direction. B) positive z direction. C) negative y direction. D) negative x direction. E) negative z direction. A positively charged particle moves with velocity v A positively charged particle moves with velocity v along the x axis. A uniform magnetic field -B exists in the negative z direction. You want to balance the magnetic force with an electric field so that the particle will continue along a straight line. The electric field should be in the A) positive x direction. B) positive z direction. C) negative y direction. D) negative x direction. E) negative z direction. along the x axis. A uniform magnetic field -B A positively charged particle moves with velocity v along the x axis. A uniform magnetic field -B exists in the negative z direction. You want to balance the magnetic force with an electric field so that the particle will continue along a straight line. The electric field should be in the A) positive x direction. B) positive z direction. C) negative y direction. D) negative x direction. E) negative z direction. exists in the negative z direction. You want to balance the magnetic force with an electric field so that the particle will continue along a straight line. The electric field should be in the


A) positive x direction.
B) positive z direction.
C) negative y direction.
D) negative x direction.
E) negative z direction.

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Use the diagram for the next three problems. Use the diagram for the next three problems. Electrons traveling at a speed of v<sub>0</sub> = 3 * 10<sup>7</sup> m/s pass through the deflection plates. The electric field between the plates is E = 5000 V/m and spans a distance of x<sub>1</sub> = 5 cm. The electrons then travel a further distance of x<sub>2</sub> = 40 cm along the x-axis. -With the magnetic field turned off, the total deflection in the y direction is A) 1.22 * 10<sup>-3</sup> m B) 1.95 * 10<sup>-</sup><sup>2</sup> m C) 2.07 * 10<sup>-2</sup> m D) 9.50 * 10<sup>-3</sup> m E) 1.38 * 10<sup>-</sup><sup>2</sup> m Electrons traveling at a speed of v0 = 3 * 107 m/s pass through the deflection plates. The electric field between the plates is E = 5000 V/m and spans a distance of x1 = 5 cm. The electrons then travel a further distance of x2 = 40 cm along the x-axis. -With the magnetic field turned off, the total deflection in the y direction is


A) 1.22 * 10-3 m
B) 1.95 * 10-2 m
C) 2.07 * 10-2 m
D) 9.50 * 10-3 m
E) 1.38 * 10-2 m

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A positively charged particle is moving northward in a magnetic field. The magnetic force on the particle is toward the northeast. What is the direction of the magnetic field?


A) up
B) west
C) south
D) down
E) This situation cannot exist.

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The left diagram shows a force F on a negatively charged particle moving a magnetic field B. Using the right diagram, the direction of the velocity of the particle is A) 1 B) 2 C) 3 D) 4 E) 5 The left diagram shows a force F on a negatively charged particle moving a magnetic field B. Using the right diagram, the direction of the velocity of the particle is


A) 1
B) 2
C) 3
D) 4
E) 5

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Which of the following statements correctly describes the torque-potential energy relationship for a current-carrying coil in a uniform magnetic field?


A) The maximum potential energy occurs for the same orientation of magnetic dipole and the magnetic field that corresponds to maximum torque.
B) The potential energy of the system is constant.
C) The torque rotates the coil toward a position of lower potential energy.
D) The torque rotates the coil toward a position of higher potential energy.
E) None of these is correct.

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All of the charged particles that pass through crossed electric and magnetic fields without deflection have the same


A) mass.
B) speed.
C) momentum.
D) energy.
E) charge-to-mass ratio.

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A small positively charged body is moving horizontally and westward. If it enters a uniform horizontal magnetic field that is directed from north to south, the body is deflected


A) upward.
B) downward.
C) toward the north.
D) toward the south.
E) not at all.

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A circular 20-turn coil with a radius of 10 cm carries a current of 3 A. It lies in the xy plane in a uniform magnetic field = 0.4 T + 0.3 T . The potential energy of the system is A) -0.263 J B) -0.461 J C) -0.564 J D) 0.564 J E) 0.461 J A circular 20-turn coil with a radius of 10 cm carries a current of 3 A. It lies in the xy plane in a uniform magnetic field A circular 20-turn coil with a radius of 10 cm carries a current of 3 A. It lies in the xy plane in a uniform magnetic field = 0.4 T + 0.3 T . The potential energy of the system is A) -0.263 J B) -0.461 J C) -0.564 J D) 0.564 J E) 0.461 J = 0.4 T A circular 20-turn coil with a radius of 10 cm carries a current of 3 A. It lies in the xy plane in a uniform magnetic field = 0.4 T + 0.3 T . The potential energy of the system is A) -0.263 J B) -0.461 J C) -0.564 J D) 0.564 J E) 0.461 J + 0.3 T A circular 20-turn coil with a radius of 10 cm carries a current of 3 A. It lies in the xy plane in a uniform magnetic field = 0.4 T + 0.3 T . The potential energy of the system is A) -0.263 J B) -0.461 J C) -0.564 J D) 0.564 J E) 0.461 J . The potential energy of the system is


A) -0.263 J
B) -0.461 J
C) -0.564 J
D) 0.564 J
E) 0.461 J

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C

A straight wire of length 20 cm floats in a horizontal perpendicular to a magnetic field of 1.5 T when a current of 1.3 A passes through the wire in a perpendicular direction to the magnetic field. Find the mass per unit length of the wire. (The wire is connected to a battery by ultra light flexible leads.)


A) 0.40 kg/m
B) 0.20 kg/m
C) 20 g/m
D) 40 g/m
E) none of the above

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A small permanent magnet is placed in a uniform magnetic field of magnitude 0.35 T. If the maximum torque experienced by the magnet is 0.50 N · m, what is the magnitude of the magnetic moment of the magnet?


A) 1.4 A · m2
B) 0.70 A · m2
C) 0.18 A · m2
D) 2.8 A · m2
E) 0.35 A · m2

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A doubly ionized oxygen atom 16O2+ is moving in the same uniform magnetic field as an alpha particle. The velocities of both particles are at right angles to the magnetic field. The paths of the particles have the same radius of curvature. The ratio of the energy of the alpha particle to that of the 16O2+ ion is


A) E α\alpha /EO = 1/1
B) E α\alpha /EO = 1/4
C) E α\alpha /EO = 1/16
D) E α\alpha /EO = 4/1
E) None of these is correct.

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