Exam 27: Magnetism

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A charged particle is moving in a uniform,constant magnetic field.Which of the following statements concerning the magnetic force exerted on the particle is(are)not true? (Mark all that are not true.)

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A straight wire of length 3.5 m carries a current of 42 A and it is placed on a horizontal table in a horizontal uniform magnetic field.The wire makes an angle of 44 ∘\circ with the magnetic field lines.If the magnitude of the magnetic force on the wire is 9.0 N,what is the magnitude of the magnetic field?

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If immersed in magnetic fields of the same magnitude,what can be said about the cyclotron frequencies of protons and electrons?

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The Hall affect is used to measure the carrier density of a thin sheet of electrons.When a current of 80.0 μ\mu A flows through the length of the electron sheet,which is 1.2-mm long and 0.27-mm wide,a magnetic field of 0.75 T perpendicular to the sheet produces a potential difference of 0.53 mV across the width of the sheet.If the carrier density in the electron sheet is 6.74 * 1025 m-3,what is the thickness of the sheet?

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The figure shown depicts the cross section of a current carrying ring of wire having a radius of 4 cm.A 1-A current flows in the ring in the direction indicated in the drawing.The ring is free to rotate,clockwise or counterclockwise,about an axis normal to the page which passes through its center.The ring is connected to a spring with a spring constant of 100 N/m as shown.The spring is fixed to a wall at the other end.When the ring is in the vertical position,the spring is at its natural length.One may assume that the length of the spring is long enough such that any extension or compression follows Hooke's law.Determine the magnitude of the change in length of the spring when a magnetic field B = 2 T is applied along the vertical axis. The figure shown depicts the cross section of a current carrying ring of wire having a radius of 4 cm.A 1-A current flows in the ring in the direction indicated in the drawing.The ring is free to rotate,clockwise or counterclockwise,about an axis normal to the page which passes through its center.The ring is connected to a spring with a spring constant of 100 N/m as shown.The spring is fixed to a wall at the other end.When the ring is in the vertical position,the spring is at its natural length.One may assume that the length of the spring is long enough such that any extension or compression follows Hooke's law.Determine the magnitude of the change in length of the spring when a magnetic field B = 2 T is applied along the vertical axis.

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A proton with an initial velocity of (1.0x + 2.0y + 3.0z)* 105 m/s enters a magnetic field of 0.50z T.Find the force on the proton.The mass of the proton is 1.67 * 10-27 kg.Where x,y and z are unit vectors in the x,y and z directions,respectively.

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A straight wire of length 3.5 m carries a current and it is placed on a horizontal table in a horizontal uniform magnetic field of 0.14 T.The wire makes an angle of 44 ∘\circ with the magnetic field lines.If the magnitude of the magnetic force on the wire is 9.0 N,what is the current in the wire?

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Two protons move with uniform circular motion in the presence of uniform magnetic fields.Proton one moves twice as fast as proton two.The magnitude of the magnetic field in which proton one is immersed is twice the magnitude of the magnetic field in which proton two is immersed.The radius of the circle around which proton one moves is r.What is the radius of the circle around which proton two moves?

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A proton is in a circular orbit due to a magnetic field of 1.5 mT.What is the orbital frequency? (Note: me = 1.67 * 10-27 kg)

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The Hall affect is used to measure the carrier density of a thin sheet of electrons.When a current flows through the length of the electron sheet,which is 1.2-mm long,0.27-mm wide and 12-nm thick,a magnetic field of 0.75 T perpendicular to the sheet produces a potential difference of 0.53 mV across the width of the sheet.If the carrier density in the electron sheet is 8.49 * 1028 m-3,what current flows through the length of the sheet?

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The Hall affect is used to measure the carrier density of a thin sheet of electrons.When a current of 8.0 μ\mu A flows through the length of the electron sheet,which is 1.2-mm long,0.27-mm wide and 12-nm thick,a magnetic field of 0.75 T perpendicular to the sheet produces a potential difference of 0.53 mV across the width of the sheet.What is the carrier density in the electron sheet?

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A negatively charged particle travelling in the positive y-direction enters an area where a constant magnetic field in the z-direction exists.How will the trajectory of the particle curve?

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An electron enters the region between two plates traveling along the x-direction with a speed of v = 4.78 * 106 m/s.Both plates are parallel to the x-y plane and are separated by 4.5 cm.The potential of the top plate at z = 4.5 cm is +100 V while the potential of the bottom plate at z = 0 cm is 0 V.What is the direction of the magnetic field between the plates that is required so that the electron continues traveling in a straight line along the x-direction in this region?

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What is the magnitude of the force on an electron moving with a velocity v = 5.43 * 106 m/s at an angle θ\theta = 53.4 ∘\circ with respect to a magnetic field B = 7.72 * 10-2 T?

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Select the true statement regarding magnetism and the Earth's magnetic field.

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Which of the following has the largest cyclotron frequency?

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Consider a loop of length L = 3 m and width W = 1.5 m placed in an area where there is a magnetic field,B = 1.2 * 10-2 T,pointing into the page as shown.If a mass m = 10 g hangs from the loop as shown,what current (magnitude)must run through the loop to balance its weight? Consider a loop of length L = 3 m and width W = 1.5 m placed in an area where there is a magnetic field,B = 1.2 * 10<sup>-2</sup> T,pointing into the page as shown.If a mass m = 10 g hangs from the loop as shown,what current (magnitude)must run through the loop to balance its weight?

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An electron enters the region between two plates traveling along the x-direction with a speed of v = 2.53 * 106 m/s.Both plates are parallel to the x-y plane and are separated by 3.2 cm.The potential of the top plate at z = 3.2 cm is +150 V while the potential of the bottom plate at z = 0 cm is 0 V.What is the magnitude of the magnetic field between the plates that is required so that the electron continues traveling in a straight line along the x-direction in this region?

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A proton with an initial velocity of (1.0x + 2.0y + 3.0z)* 105 m/s enters a magnetic field of 0.50z T.Find the acceleration of the proton.The mass of the proton is 1.67 * 10-27 kg.Where x,y and z are unit vectors in the x,y and z directions,respectively.

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Magnetic field lines always

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