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A rectangular loop of wire of width 10 cm and length 20 cm has a current of 2.5 A flowing through it. Two sides of the loop are oriented parallel to a uniform magnetic field of strength 0.037 T, the other two sides being perpendicular to the magnetic field. The magnitude of the torque on the loop is


A) 0.0093 m∙N.
B) 0.025 m∙N.
C) 0.050 m∙N.
D) 0.0019 m∙N.
E) 0.038 m∙N.

F) None of the above
G) B) and E)

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In a mass spectrometer a particle of mass m and charge q is accelerated through a potential difference V and allowed to enter a magnetic field B, where it is deflected in a semi-circular path of radius R. The magnetic field is uniform and oriented perpendicular to the velocity of the particle. Derive an expression for the mass of the particle in terms of B, q, V, and R.


A) qB2R2/V
B) qB2R2/(2V)
C) q2B2R2/V
D) q2B2R2/(2V)
E) qB2R2/(V2)

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

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An electron moving with a velocity An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)   = 5.0 × 107 m/s An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)   = - 104 An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)   . What magnetic field will allow the electron to go through, undeflected?


A) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)   = + (2.0 × 10-4 T) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)
B) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)   = - (2.0 × 10-4 T) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)
C) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)   = + (2.0 × 10-4 T) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)
D) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)   =- (2.0 × 10-4 T) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)
E) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)   = + (5.0 × 10-4 T) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present. The electric field is   = - 10<sup>4</sup>   . What magnetic field will allow the electron to go through, undeflected? A)    = + (2.0 × 10<sup>-4</sup> T)    B)    = - (2.0 × 10<sup>-4</sup> T)    C)    = + (2.0 × 10<sup>-4</sup> T)    D)    =- (2.0 × 10<sup>-4</sup> T)    E)    = + (5.0 × 10<sup>-4</sup> T)

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

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FIGURE 27-11 FIGURE 27-11   -A rectangular loop of wire, with dimensions as shown in Fig. 27-11, carrying a 2-A current is placed in a magnetic field of 0.8 T. The loop rotates in the magnetic field and at one point makes a 30° angle with the magnetic field. What is the magnitude of the torque acting on the wire? A) 0.3 Nm B) 0.4 Nm C) 0.5 Nm D) 0.6 Nm E) 0.7 Nm -A rectangular loop of wire, with dimensions as shown in Fig. 27-11, carrying a 2-A current is placed in a magnetic field of 0.8 T. The loop rotates in the magnetic field and at one point makes a 30° angle with the magnetic field. What is the magnitude of the torque acting on the wire?


A) 0.3 Nm
B) 0.4 Nm
C) 0.5 Nm
D) 0.6 Nm
E) 0.7 Nm

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

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A 2.0-m wire carrying a current of 0.60 A is oriented parallel to a uniform magnetic field of 0.50 T. What is the magnitude of the force it experiences?


A) zero
B) 0.15 N
C) 0.30 N
D) 0.50 N
E) 0.60 N

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

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FIGURE 27-3 FIGURE 27-3   -Fig. 27-3 shows a small positive charge q moving toward a long current-carrying wire. Which of the arrows labeled A to D correctly represents the direction of the magnetic force applied on the charge? A) A B) B C) C D) D E) The force points in a direction perpendicular to the plane of the figure. -Fig. 27-3 shows a small positive charge q moving toward a long current-carrying wire. Which of the arrows labeled A to D correctly represents the direction of the magnetic force applied on the charge?


A) A
B) B
C) C
D) D
E) The force points in a direction perpendicular to the plane of the figure.

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

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An electron moving perpendicular to a magnetic field of 2.2 × 10-2 T moves in a circle of certain radius. If the electron is moving with a speed of 1.5 × 107 m/s, what is the radius of the circle?


A) 1.5 × 10-3 m
B) 2.2 × 10-4 m
C) 2.2 × 10-3 m
D) 3.9 × 10-4 m
E) 3.9 × 10-3 m

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

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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) As the alpha particle moves, its velocity is directed (b) The magnitude of the force on the alpha particle is

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(a) perpendicular to...

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An electron moves with a speed of 8.0 × 106 m/s along the +x axis. It enters a region where there is a magnetic field of 2.5 T, directed at an angle of 60° to the +x axis and lying in the xy plane. (a) Calculate the magnitude of the magnetic force on the electron. (b) Calculate the magnitude of the acceleration of the electron.

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(a) 2.8 × ...

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The magnetic field unlike the electric field is continuous.

A) True
B) False

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A 1.0-m long wire is carrying a certain amount of current. The wire is placed perpendicular to a magnetic field of strength 0.20 T. If the wire experiences a force of 0.60 N, what is the magnitude of the current moving through the wire?


A) 2.0 A
B) 1.0 A
C) 3.0 A
D) 4.0 A
E) 5.0 A

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

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A wire of a certain length is carrying a current of 2.0 A. It is placed at an angle of 60° with respect to a magnetic field of strength 0.20 T. If the wire experiences a force of 0.40 N, what is the length of the wire?


A) 1.0 m
B) 1.2 m
C) 1.4 m
D) 1.6 m
E) 1.8 m

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

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A circular loop of wire of radius 0.50 m is in a uniform magnetic field of 0.30 T. The current in the loop is 2.0 A. What is the magnetic torque when the plane of the loop is parallel to the magnetic field?


A) zero
B) 0.41 m∙N
C) 0.47 m∙N
D) 0.52 m∙N
E) 0.59 m∙N

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

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FIGURE 27-9 FIGURE 27-9   -A wire in the shape of an  M  lies in the plane of the paper. It carries a current of 2.0 A, flowing from A to E. It is placed in a uniform magnetic field of 0.75 T in the same plane, directed as shown on the right side of Fig. 27-9. The figure indicates the dimensions of the wire. (a) What is the magnitude and direction of the force acting on section AB of this wire? (b) What is the magnitude and direction of the force acting on section BC of this wire? (c) What is the magnitude and direction of the force acting on section CD of this wire? (d) What is the magnitude and direction of the force acting on section DE of this wire? (e) What is the magnitude and direction of the force acting on the wire -A wire in the shape of an "M" lies in the plane of the paper. It carries a current of 2.0 A, flowing from A to E. It is placed in a uniform magnetic field of 0.75 T in the same plane, directed as shown on the right side of Fig. 27-9. The figure indicates the dimensions of the wire. (a) What is the magnitude and direction of the force acting on section AB of this wire? (b) What is the magnitude and direction of the force acting on section BC of this wire? (c) What is the magnitude and direction of the force acting on section CD of this wire? (d) What is the magnitude and direction of the force acting on section DE of this wire? (e) What is the magnitude and direction of the force acting on the wire

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(a) 0.11 N perpendicular out o...

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A current carrying circular loop of wire lies flat on a table top. When viewed from above, the current moves around the loop in a counterclockwise sense. What is the direction of the magnetic field caused by this current, inside the loop? The magnetic field


A) circles the loop in a clockwise direction.
B) circles the loop in a counterclockwise direction.
C) points straight up.
D) points straight down.
E) points toward the east.

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

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A charged particle traveling opposite to a magnetic field does not experience a magnetic force.

A) True
B) False

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Which of the following statements is correct?


A) Earth's geographic north pole is the north pole of the Earth's magnetic field.
B) Earth's geographic south pole is the south pole of the Earth's magnetic field.
C) The north pole of a magnet points towards the Earth's geographic north pole.
D) The north pole of a magnet points towards the Earth's geographic south pole.
E) None of the above statements is correct..

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

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Magnetic field lines can never cross one another.

A) True
B) False

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FIGURE 27-6 FIGURE 27-6   -A rectangular coil, with corners labeled ABCD, of length L and width w is placed in a magnetic field B as shown in Fig. 27-6. If there is a current I flowing through this coil, what is the force acting on section BC of this coil? A) ILB/2 B) 0 N C) ILB sinθ D) ILB cos θ E) ILB -A rectangular coil, with corners labeled ABCD, of length L and width w is placed in a magnetic field B as shown in Fig. 27-6. If there is a current I flowing through this coil, what is the force acting on section BC of this coil?


A) ILB/2
B) 0 N
C) ILB sinθ
D) ILB cos θ
E) ILB

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

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A thin copper rod 1.0 m long has a mass of 0.050 kg and is in a magnetic field of 0.10 T. What minimum current in the rod is needed in order for the magnetic force to cancel the weight of the rod?


A) 1.2 A
B) 2.5 A
C) 4.9 A
D) 7.6 A
E) 9.8 A

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

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