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Exam 18: Magnetism

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Question 41

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A flat circular loop of wire of radius 0.50 m that is carrying a 2.0-A current is in a uniform magnetic field of 0.30 T.What is the magnitude of the magnetic torque exerted on the loop when the plane of its area is perpendicular to the $\vec { B }$ field?

A) 0.00 N ∙ m
B) 0.41 N ∙ m
C) 0.47 N ∙ m
D) 0.52 N ∙ m
E) 0.58 N ∙ m

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Question 42

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In the figure,the rectangular loop is pivoted about one side (of length 0.060 m),that coincides with the y-axis.The end (length 0.020 m)of the loop that lies in the xz-plane makes an angle of 37° with the x-axis as shown.The loop carries a current of I = 69 A in the direction shown.(In the side of the loop that is along the y-axis the current is in the +y direction.)If there is a uniform $\vec { B }$ field of magnitude 9.7 T in the -x direction,find the magnitude of the torque that this magnetic field exerts on the loop.

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Question 43

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A geophysicist measures the magnetic force exerted on a proton that is moving vertically downward at a point 1.996 km/s at Earth's equator.At that location,Earth's $\vec { B }$ field is horizontal and has a magnitude of 0.40 × 10^-4 T.What are the magnitude and direction of the force she will measure? (e = 1.60 × 10^-19C)

A doubly charged ion with speed 6.9 × 10⁶ m/s enters a uniform 0.80-T magnetic field,traveling perpendicular to the $\vec { B }$ field.Once in the field,it moves in a circular arc of radius 30 cm.What is the mass of this ion? (e = 1.60 × 10^-19 C)

A rigid rectangular loop,measuring 0.30 m by 0.40 m,carries a current of 9.9 A,as shown in the figure.A uniform external magnetic field of magnitude 1.8 T in the -x direction is present.Segment CD is in the xz-plane and forms a 19° angle with the z-axis,as shown.What is the y component of the magnetic force exerted on segment AB of the loop?

A proton,moving west,enters a magnetic field.Because of this magnetic field the proton curves upward.We may conclude that the $\vec { B }$ field must have a component

A straight wire is carrying a current of 2.0 A.It is placed at an angle of 60° with respect to a 0.20-T $\vec { B }$ field.If magnetic force exerted on the wire has a magnitude of 0.40 N,what is the length of the wire?

If you were to cut a small permanent bar magnet in half,

A proton moving at 5.0 × 10⁴ m/s horizontally enters a region where a $\vec { B }$ field of 0.12 T is present,directed vertically downward.What magnitude force acts on the proton due to this field? (e = 1.60 × 10^-19C)

A flat rectangular loop of wire is placed between the poles of a magnet,as shown in the figure.It has dimensions w = 0.60 m and L = 1.0 m,and carries a current I = 2.0 A in the direction shown.The $\vec { B }$ field due to the magnet is uniform and of magnitude 0.80 T.The loop rotates in the magnetic field and at one point the plane of the loop makes a 30° angle with the $\vec { B }$ field vector.At that instant,what is the magnitude of the torque exerted on the wire by the magnetic field?

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,as shown in the figure.It is placed in a uniform 0.55-T $\vec { B }$ field in the same plane,directed as shown on the right side of the figure.The figure indicates the dimensions of the wire.Note that AB is parallel to DE and to the baseline from which the $\vec { B }$ field direction is measured.What are the magnitude and direction of the magnetic force exerted on section CD of this wire?

A proton,starting from rest,accelerates through a potential difference of 1.0 kV and then moves into a magnetic field of 0.040 T at a right angle to the $\vec { B }$ field.What is the radius of the proton's resulting orbit? (e = 1.60 × 10^-19 C,m_proton = 1.67 × 10^-27 kg)

An electron,moving south,enters a magnetic field.Because of this field,the electron curves upward.We may conclude that the $\vec { B }$ field must have a component

What is the magnetic moment of a rectangular loop having 120 turns that carries 6.0 A if its dimensions are 4.0 cm × 8.0 cm?

A flat circular loop of wire is in a uniform $\vec { B }$ field of 0.30 T.The diameter of the loop is 1.0 m,and a 2.0-A current flows in it.What is the magnitude of the magnetic torque on the loop when the plane of the loop is parallel to the $\vec { B }$ field?

What is the strength of the $\vec { B }$ field at the center of a circular loop of wire of diameter 8.0 cm with a current of 2.0 A through the wire? (μ₀ = 4π × 10^-7 T ∙ m/A)

A negatively charged particle -Q is moving to the right,directly above a wire having a current I through it to the right,as shown in the figure.In what direction is the magnetic force exerted on the particle by the current-carrying wire?

Three particles travel through a region of space where the $\vec { B }$ field is out of the page,as shown in the figure.What are the signs of the charges of these three particles?

A single current-carrying circular loop of radius R is placed next to a long,straight wire,as shown in the figure.The current I in the wire flows to the right.In which direction must current flow in the loop to produce a net magnetic field of zero at its center?

A straight bar magnet is initially 4 cm long,with the north pole on the right and the south pole on the left.If you cut the magnet in half,the right half will