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An alpha particle is moving at a speed of 5.0 × 105 m/s in a direction perpendicular to a uniform magnetic field of strength 0.040 T. The charge on an alpha particle is 3.2 × 10-19 C and its mass is 6.6 × 10-27 kg. (a) What is the radius of the path of the alpha particle? (b) How long does it take the alpha particle to make one complete revolution around its path?

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(a) 0.26 m...

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A solenoid with 400 turns has a radius of 0.040 m and is 40 cm long. If this solenoid carries a current of A solenoid with 400 turns has a radius of 0.040 m and is 40 cm long. If this solenoid carries a current of   what is the magnitude of the magnetic field near the center of the solenoid? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A)  16 mT B)  4.9 mT C)  15 mT D)  6.0 mT E)  9.0 mT what is the magnitude of the magnetic field near the center of the solenoid? (μ0 = 4π × 10-7 T ∙ m/A)


A) 16 mT
B) 4.9 mT
C) 15 mT
D) 6.0 mT
E) 9.0 mT

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

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An L-shaped metal machine part is made of two equal-length segments that are perpendicular to each other and carry a 4.50-A current as shown in the figure. This part has a total mass of 3.80 kg and a total length of 3.00 m, and it is in an external 1.20-T magnetic field that is oriented perpendicular to the plane of the part, as shown. What is the magnitude of the NET magnetic force that the field exerts on the part? An L-shaped metal machine part is made of two equal-length segments that are perpendicular to each other and carry a 4.50-A current as shown in the figure. This part has a total mass of 3.80 kg and a total length of 3.00 m, and it is in an external 1.20-T magnetic field that is oriented perpendicular to the plane of the part, as shown. What is the magnitude of the NET magnetic force that the field exerts on the part?   A)  8.10 N B)  11.5 N C)  16.2 N D)  22.9 N E)  32.4 N


A) 8.10 N
B) 11.5 N
C) 16.2 N
D) 22.9 N
E) 32.4 N

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

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The magnetic field at a distance of 2 cm from a current carrying wire is 4 μT. What is the magnetic field at a distance of 4 cm from the wire?


A) 1/2 µT
B) 1 µT
C) 2 µT
D) 4 µT
E) 8 µT

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

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A negatively charged particle is moving to the right, directly above a wire having a current flowing to the right, as shown in the figure. In which direction is the magnetic force exerted on the particle? A negatively charged particle is moving to the right, directly above a wire having a current flowing to the right, as shown in the figure. In which direction is the magnetic force exerted on the particle?   A)  into the page B)  out of the page C)  downward D)  upward E)  The magnetic force is zero since the velocity is parallel to the current.


A) into the page
B) out of the page
C) downward
D) upward
E) The magnetic force is zero since the velocity is parallel to the current.

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

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A straight wire that is 0.60 m long is carrying a current of 2.0 A. It is placed in a uniform 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) 25°
B) 30°
C) 35°
D) 60°
E) 90°

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

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As shown in the figure, a wire is bent into the shape of a tightly closed omega (Ω) , with a circular loop of radius 4.0 cm and two long straight sections. The loop is in the xy-plane, with the center at the origin. The straight sections are parallel to the x-axis. The wire carries a 5.0-A current, as shown. What is the magnitude of the magnetic field at the center of the loop? (μ0 = 4π × 10-7 T ∙ m/A) As shown in the figure, a wire is bent into the shape of a tightly closed omega (Ω) , with a circular loop of radius 4.0 cm and two long straight sections. The loop is in the xy-plane, with the center at the origin. The straight sections are parallel to the x-axis. The wire carries a 5.0-A current, as shown. What is the magnitude of the magnetic field at the center of the loop? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A)  25 µT B)  40 µT C)  54 µT D)  80 µT E)  104 µT


A) 25 µT
B) 40 µT
C) 54 µT
D) 80 µT
E) 104 µT

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

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An electron moving in the direction of the +x-axis enters a magnetic field. If the electron experiences a magnetic deflection in the -y direction, the direction of the magnetic field in this region points in the direction of the


A) +z-axis.
B) -z-axis.
C) -x-axis.
D) +y-axis.
E) -y-axis.

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

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A very long, hollow, thin-walled conducting cylindrical shell (like a pipe) of radius R carries a current along its length uniformly distributed throughout the thin shell. Which one of the graphs shown in the figure most accurately describes the magnitude B of the magnetic field produced by this current as a function of the distance r from the central axis? A very long, hollow, thin-walled conducting cylindrical shell (like a pipe)  of radius R carries a current along its length uniformly distributed throughout the thin shell. Which one of the graphs shown in the figure most accurately describes the magnitude B of the magnetic field produced by this current as a function of the distance r from the central axis?   A)  1 B)  2 C)  3 D)  4 E)  5


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

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

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A circular loop of wire of radius 10 cm carries a current of 6.0 A. What is the magnitude of the magnetic field at the center of the loop? (μ0 = 4π × 10-7 T ∙ m/A)


A) 3.8 × 10-5 T
B) 3.8 × 10-7 T
C) 1.2 × 10-5 T
D) 1.2 × 10-7 T
E) 3.8 × 10-8 T

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

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A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure. A uniform electric field is also present. An electron that is projected with an initial velocity A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure. A uniform electric field is also present. An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection. What is the electric field vector in the region?   A)  -73 kV/m   B)  +73 kV/m   C)  +110 kV/m   D)  +110 kV/m   E)  -110 kV/m  in the positive x-direction passes through the region without deflection. What is the electric field vector in the region? A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure. A uniform electric field is also present. An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection. What is the electric field vector in the region?   A)  -73 kV/m   B)  +73 kV/m   C)  +110 kV/m   D)  +110 kV/m   E)  -110 kV/m


A) -73 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure. A uniform electric field is also present. An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection. What is the electric field vector in the region?   A)  -73 kV/m   B)  +73 kV/m   C)  +110 kV/m   D)  +110 kV/m   E)  -110 kV/m
B) +73 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure. A uniform electric field is also present. An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection. What is the electric field vector in the region?   A)  -73 kV/m   B)  +73 kV/m   C)  +110 kV/m   D)  +110 kV/m   E)  -110 kV/m
C) +110 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure. A uniform electric field is also present. An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection. What is the electric field vector in the region?   A)  -73 kV/m   B)  +73 kV/m   C)  +110 kV/m   D)  +110 kV/m   E)  -110 kV/m
D) +110 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure. A uniform electric field is also present. An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection. What is the electric field vector in the region?   A)  -73 kV/m   B)  +73 kV/m   C)  +110 kV/m   D)  +110 kV/m   E)  -110 kV/m
E) -110 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure. A uniform electric field is also present. An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection. What is the electric field vector in the region?   A)  -73 kV/m   B)  +73 kV/m   C)  +110 kV/m   D)  +110 kV/m   E)  -110 kV/m

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

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A vertical wire carries a current straight down. To the east of this wire, the magnetic field points


A) toward the north.
B) toward the east.
C) toward the west.
D) toward the south.
E) downward.

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

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A point charge Q moves on the x-axis in the positive direction with a speed of A point charge Q moves on the x-axis in the positive direction with a speed of   A point P is on the y-axis at   The magnetic field produced at point P, as the charge moves through the origin, is equal to   When the charge is at   what is the magnitude of the magnetic field at point P? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A)  0.57 μT B)  0.74 μT C)  0.92 μT D)  1.1 μT E)  1.3 μT A point P is on the y-axis at A point charge Q moves on the x-axis in the positive direction with a speed of   A point P is on the y-axis at   The magnetic field produced at point P, as the charge moves through the origin, is equal to   When the charge is at   what is the magnitude of the magnetic field at point P? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A)  0.57 μT B)  0.74 μT C)  0.92 μT D)  1.1 μT E)  1.3 μT The magnetic field produced at point P, as the charge moves through the origin, is equal to A point charge Q moves on the x-axis in the positive direction with a speed of   A point P is on the y-axis at   The magnetic field produced at point P, as the charge moves through the origin, is equal to   When the charge is at   what is the magnitude of the magnetic field at point P? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A)  0.57 μT B)  0.74 μT C)  0.92 μT D)  1.1 μT E)  1.3 μT When the charge is at A point charge Q moves on the x-axis in the positive direction with a speed of   A point P is on the y-axis at   The magnetic field produced at point P, as the charge moves through the origin, is equal to   When the charge is at   what is the magnitude of the magnetic field at point P? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A)  0.57 μT B)  0.74 μT C)  0.92 μT D)  1.1 μT E)  1.3 μT what is the magnitude of the magnetic field at point P? (μ0 = 4π × 10-7 T ∙ m/A)


A) 0.57 μT
B) 0.74 μT
C) 0.92 μT
D) 1.1 μT
E) 1.3 μT

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

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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 points A to E, as shown in the figure. It is placed in a uniform magnetic field of 0.75 T in the same plane, directed as shown on the right side of the figure. The figure indicates the dimensions of the wire. What are the magnitude and direction of the force acting on 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 points A to E, as shown in the figure. It is placed in a uniform magnetic field of 0.75 T in the same plane, directed as shown on the right side of the figure. The figure indicates the dimensions of the wire. What are the magnitude and direction of the force acting on   (a) section AB of this wire? (b) section BC of this wire? (c) section CD of this wire? (d) section DE of this wire? (e) the entire wire? (a) section AB of this wire? (b) section BC of this wire? (c) section CD of this wire? (d) section DE of this wire? (e) the entire wire?

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(a) 0.11 N perpendicular out o...

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The figure shows two long, parallel current-carrying wires. The wires carry equal currents I1 = I2 = 20 A in the directions indicated and are located a distance d = 0.5 m apart. Calculate the magnitude and direction of the magnetic field at the point P that is located an equal distance d from each wire. (μ0 = 4π × 10-7 T ∙ m/A) The figure shows two long, parallel current-carrying wires. The wires carry equal currents I<sub>1</sub> = I<sub>2</sub> = 20 A in the directions indicated and are located a distance d = 0.5 m apart. Calculate the magnitude and direction of the magnetic field at the point P that is located an equal distance d from each wire. (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A)  8 µT downward B)  8 µT upward C)  4 µT downward D)  4 µT upward E)  4 µT to the right


A) 8 µT downward
B) 8 µT upward
C) 4 µT downward
D) 4 µT upward
E) 4 µT to the right

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

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The figure shows two long wires carrying equal currents I1 and I2 flowing in opposite directions. Which of the arrows labeled A through D correctly represents the direction of the magnetic field due to the wires at a point located at an equal distance d from each wire? The figure shows two long wires carrying equal currents I<sub>1</sub> and I<sub>2</sub> flowing in opposite directions. Which of the arrows labeled A through D correctly represents the direction of the magnetic field due to the wires at a point located at an equal distance d from each wire?   A)  A B)  B C)  C D)  D E)  The magnetic field is zero at that point.


A) A
B) B
C) C
D) D
E) The magnetic field is zero at that point.

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

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At what distance from the central axis of a long straight thin wire carrying a current of 5.0 A is the magnitude of the magnetic field due to the wire equal to the strength of the Earth's magnetic field of about 5.0 × 10-5 T? (μ0 = 4π × 10-7 T ∙ m/A)


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

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

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Consider a solenoid of length L, N windings, and radius b (L is much longer than b) . A current I is flowing through the wire. If the length of the solenoid became twice as long (2L) , and all other quantities remained the same, the magnetic field inside the solenoid would


A) remain the same.
B) become twice as strong.
C) become one half as strong.

D) A) and B)
E) A) and C)

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A hollow cylinder with an inner radius of A hollow cylinder with an inner radius of   and an outer radius of   conducts a 3.0-A current flowing parallel to the axis of the cylinder. If the current density is uniform throughout the wire, what is the magnitude of the magnetic field at a point   from its center? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A)  7.2 × 10<sup>-6</sup> T B)  8.0 × 10<sup>-6</sup> T C)  8.9 × 10<sup>-7</sup> T D)  7.1 × 10<sup>-8</sup> T and an outer radius of A hollow cylinder with an inner radius of   and an outer radius of   conducts a 3.0-A current flowing parallel to the axis of the cylinder. If the current density is uniform throughout the wire, what is the magnitude of the magnetic field at a point   from its center? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A)  7.2 × 10<sup>-6</sup> T B)  8.0 × 10<sup>-6</sup> T C)  8.9 × 10<sup>-7</sup> T D)  7.1 × 10<sup>-8</sup> T conducts a 3.0-A current flowing parallel to the axis of the cylinder. If the current density is uniform throughout the wire, what is the magnitude of the magnetic field at a point A hollow cylinder with an inner radius of   and an outer radius of   conducts a 3.0-A current flowing parallel to the axis of the cylinder. If the current density is uniform throughout the wire, what is the magnitude of the magnetic field at a point   from its center? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A)  7.2 × 10<sup>-6</sup> T B)  8.0 × 10<sup>-6</sup> T C)  8.9 × 10<sup>-7</sup> T D)  7.1 × 10<sup>-8</sup> T from its center? (μ0 = 4π × 10-7 T ∙ m/A)


A) 7.2 × 10-6 T
B) 8.0 × 10-6 T
C) 8.9 × 10-7 T
D) 7.1 × 10-8 T

E) C) and D)
F) A) and B)

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A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment? A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment?   A)  +1.6 N   B)  -1.6 N   C)  +1.6 N   D)  (+1.3   - 1.6   )  N E)  (-1.3   + 1.6   )  N


A) +1.6 N A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment?   A)  +1.6 N   B)  -1.6 N   C)  +1.6 N   D)  (+1.3   - 1.6   )  N E)  (-1.3   + 1.6   )  N
B) -1.6 N A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment?   A)  +1.6 N   B)  -1.6 N   C)  +1.6 N   D)  (+1.3   - 1.6   )  N E)  (-1.3   + 1.6   )  N
C) +1.6 N A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment?   A)  +1.6 N   B)  -1.6 N   C)  +1.6 N   D)  (+1.3   - 1.6   )  N E)  (-1.3   + 1.6   )  N
D) (+1.3 A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment?   A)  +1.6 N   B)  -1.6 N   C)  +1.6 N   D)  (+1.3   - 1.6   )  N E)  (-1.3   + 1.6   )  N - 1.6 A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment?   A)  +1.6 N   B)  -1.6 N   C)  +1.6 N   D)  (+1.3   - 1.6   )  N E)  (-1.3   + 1.6   )  N ) N
E) (-1.3 A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment?   A)  +1.6 N   B)  -1.6 N   C)  +1.6 N   D)  (+1.3   - 1.6   )  N E)  (-1.3   + 1.6   )  N + 1.6 A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment?   A)  +1.6 N   B)  -1.6 N   C)  +1.6 N   D)  (+1.3   - 1.6   )  N E)  (-1.3   + 1.6   )  N ) N

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

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