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A horizontal wire carries a current straight toward you. From your point of view, the magnetic field at a point directly below the wire points


A) directly away from you.
B) to the left.
C) to the right.
D) directly toward you.
E) vertically upward.

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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 radius of the solenoid were doubled (becoming 2b) , 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.

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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.

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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°

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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

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Three particles travel through a region of space where the magnetic field is out of the page, as shown in the figure. The electric charge of each of the three particles is, respectively, Three particles travel through a region of space where the magnetic field is out of the page, as shown in the figure. 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.


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.

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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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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  = 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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 the region without being deflected?


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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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   =   . What magnetic field will allow the electron to go through the region without being deflected? 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

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A hollow cylinder with an inner radius of 4.0 mm and an outer radius of 30 mm 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 12 mm 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

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A wire along the z-axis carries a current of 6.8 A in the +z direction. Find the magnitude and direction of the force exerted on a 6.1-cm long length of the wire by a uniform magnetic field with magnitude 0.36 T in the -x direction.

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0.15 N, -y...

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Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions. The wires are separated by 0.20 m. What is the magnitude of the magnetic field midway between the two wires? (μ0 = 4π × 10-7 T ∙ m/A)


A) 1.0 × 10-5 T
B) 2.0 × 10-5 T
C) 3.0 × 10-5 T
D) 4.0 × 10-5 T
E) 5.0 × 10-5 T

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A long, straight wire with 3.0 A current flowing through it produces magnetic field strength 1.0 T at its surface. If the wire has a radius R, where within the wire is the field strength equal to 36% of the field strength at the surface of the wire? Assume that the current density is uniform throughout the wire. (μ0 = 4π × 10-7 T ∙ m/A)


A) 0.36 R
B) 0.060 R
C) 0.64 R
D) 0.030 R

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A rectangular loop of wire measures 1.0 m by 1.0 cm. If a 7.0-A current flows through the wire, what is the magnitude of the magnetic force on the centermost 1.0-cm segment of the 1.0-m side of the loop? (μ0 = 4π × 10-7 T ∙ m/A)


A) 9.8 × 10-6 N
B) 7.8 × 10-7 N
C) 9.8 × 10-8 N
D) 4.9 × 10-6 N

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A straight 15.0-g wire that is 2.00 m long carries a current of 8.00 A. This wire is aligned horizontally along the west-east direction with the current going from west to east. You want to support the wire against gravity using the weakest possible uniform external magnetic field. (a) Which way should the magnetic field point? (b) What is the magnitude of the weakest possible magnetic field you could use?

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(a) from s...

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A point charge Q moves on the x-axis in the positive direction with a speed of 280 m/s. A point P is on the y-axis at y = +70 mm. The magnetic field produced at the 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 280 m/s. A point P is on the y-axis at y = +70 mm. The magnetic field produced at the point P, as the charge moves through the origin, is equal to   What is the charge Q? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A)  -53 μC B)  +53 μC C)  -39 μC D)  +39 μC E)  +26 μC What is the charge Q? (μ0 = 4π × 10-7 T ∙ m/A)


A) -53 μC
B) +53 μC
C) -39 μC
D) +39 μC
E) +26 μC

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The figure shows three long, parallel, current-carrying wires. The current directions are indicated for currents I1 and I3. The arrow labeled F represents the net magnetic force acting on current I3. The three currents have equal magnitudes. What is the direction of the current I2? The figure shows three long, parallel, current-carrying wires. The current directions are indicated for currents I<sub>1</sub> and I<sub>3</sub>. The arrow labeled F represents the net magnetic force acting on current I<sub>3</sub>. The three currents have equal magnitudes. What is the direction of the current I<sub>2</sub>?   A)  into the picture (in the direction opposite to that of I<sub>1</sub> and I<sub>3</sub>)  B)  horizontal to the right C)  vertically upward D)  vertically downward E)  out of the picture (in the same direction as I<sub>1</sub> and I<sub>3</sub>)


A) into the picture (in the direction opposite to that of I1 and I3)
B) horizontal to the right
C) vertically upward
D) vertically downward
E) out of the picture (in the same direction as I1 and I3)

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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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As shown in the figure, two long straight wires are separated by a distance of d = 0.80 m. The currents are I1 = 2.0 A to the right in the upper wire and I2 = 7.0 A to the left in the lower wire. What are the magnitude and direction of the magnetic field at point P, which is a distance d/2 = 0.40 m below the lower wire? As shown in the figure, two long straight wires are separated by a distance of d = 0.80 m. The currents are I<sub>1</sub> = 2.0 A to the right in the upper wire and I<sub>2</sub> = 7.0 A to the left in the lower wire. What are the magnitude and direction of the magnetic field at point P, which is a distance d/2 = 0.40 m below the lower wire?      As shown in the figure, two long straight wires are separated by a distance of d = 0.80 m. The currents are I<sub>1</sub> = 2.0 A to the right in the upper wire and I<sub>2</sub> = 7.0 A to the left in the lower wire. What are the magnitude and direction of the magnetic field at point P, which is a distance d/2 = 0.40 m below the lower wire?

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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.

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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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Two very long parallel wires in the xy-plane, a distance 2a apart, are parallel to the y-axis and carry equal currents I as shown in the figure. The +z direction points perpendicular to the xy-plane in a right-handed coordinate system. If the left current flows in the +y direction and the right current flows in the -y direction, which one of the graphs shown in the figure below best represents the z component of the net magnetic field, in the xy-plane, as a function of x? (Caution: These graphs are not magnetic field lines.) Two very long parallel wires in the xy-plane, a distance 2a apart, are parallel to the y-axis and carry equal currents I as shown in the figure. The +z direction points perpendicular to the xy-plane in a right-handed coordinate system. If the left current flows in the +y direction and the right current flows in the -y direction, which one of the graphs shown in the figure below best represents the z component of the net magnetic field, in the xy-plane, as a function of x? (Caution: These graphs are not magnetic field lines.)      A)  1 B)  2 C)  3 D)  4 E)  5 Two very long parallel wires in the xy-plane, a distance 2a apart, are parallel to the y-axis and carry equal currents I as shown in the figure. The +z direction points perpendicular to the xy-plane in a right-handed coordinate system. If the left current flows in the +y direction and the right current flows in the -y direction, which one of the graphs shown in the figure below best represents the z component of the net magnetic field, in the xy-plane, as a function of x? (Caution: These graphs are not magnetic field lines.)      A)  1 B)  2 C)  3 D)  4 E)  5


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

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