Exam 27: Magnetism

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A copper wire of length 1 m and diameter 1 mm is oriented such that it is perpendicular to a magnetic field of strength 5 T.The wire carries a current of 3 A across its length.What is the magnitude of the force on this wire?

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A 12-V battery is connected to a 4- Ω\varOmega resistor using a rigid rectangular loop of wire.Three meters of wire at the end of the loop extends into a region with a uniform magnetic field of B = 0.2 T directed into the page that has dimensions of 2.0 m * 2.0 m as shown in the figure.What is the net force on the loop?  A 12-V battery is connected to a 4- \varOmega  resistor using a rigid rectangular loop of wire.Three meters of wire at the end of the loop extends into a region with a uniform magnetic field of B = 0.2 T directed into the page that has dimensions of 2.0 m * 2.0 m as shown in the figure.What is the net force on the loop?

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The two particles making circular paths in the magnetic field shown have the same mass and kinetic energy.The field is downward into the page.Which of the following statements concerning the particles is correct? The two particles making circular paths in the magnetic field shown have the same mass and kinetic energy.The field is downward into the page.Which of the following statements concerning the particles is correct?

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A 25-turn square coil has a side of 0.210 m,is hinged along a horizontal side and carries a 6.00-A current.When placed in a vertical magnetic field pointing down and having a magnitude of 4.00 mT,the plane of the coil makes a 2.3 ∘\circ angle with the vertical when the coil is in equilibrium.Determine the mass of the coil.Use g = 9.81 m/s2.

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An electron with a speed of 6.00 * 105 m/s enters a uniform magnetic field of 0.0600 T at an angle of 61.4 ∘\circ to the magnetic field lines.The electron will travel in a helical path.Find the radius of the helical path.

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A 0.320 kg,25-turn square coil has a side of 0.210 m,is hinged along a horizontal side and carries a current.When placed in a vertical magnetic field pointing down and having a magnitude of 4.00 mT,the plane of the coil makes a 2.3 ∘\circ angle with the vertical when the coil is in equilibrium.Determine the current in the coil.Use g = 9.81 m/s2.

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Ions with a charge of 1 e travel at a speed v = 4.7 * 106 m/s at right angles to a field of 3.6 T.If the ions travel in a circle of radius R = 0.47 m,what is their mass?

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A 3.00 * 102-eV electron and a 1.00 * 102-eV electron trapped in a uniform magnetic field move in circular paths in a plane perpendicular to the magnetic field.What is the ratio of the radii of their orbits?

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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,0.27-mm wide and 12-nm thick,a magnetic field 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 magnitude of the magnetic field?

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An electron with a speed of 6.0 * 105 m/s enters a uniform magnetic field of 0.060 T at an angle of 25 ∘\circ to the magnetic field lines.The electron will travel in a helical path.What is the radius of the helical path?

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A proton is undergoing uniform circular motion perpendicular to a magnetic field with B = 0.240 T as shown.The linear velocity of the proton is 4.60 * 106 m/s.What is the radius of the orbit of the proton (in m)? The mass of a proton is 1.673 * 10-27 kg.Ignore any relativistic effects. A proton is undergoing uniform circular motion perpendicular to a magnetic field with B = 0.240 T as shown.The linear velocity of the proton is 4.60 * 10<sup>6</sup> m/s.What is the radius of the orbit of the proton (in m)? The mass of a proton is 1.673 * 10<sup>-27</sup> kg.Ignore any relativistic effects.

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A proton and an alpha particle are travelling perpendicular to a magnetic field and make circular orbits or the same radius.The ratio of their speeds vproton/valpha is

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