Exam 19: Magnetic Forces and Fields

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A mass spectrometer splits a beam of 10B and 11B singly charged ions having the same velocity by passing the beam through a uniform magnetic field. If the radius of the path for the 10B ions is 12.0 cm, what will be the radius for the 11B ions?

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D

A long straight wire is carrying a current of 2.4 A in a region where a uniform magnetic field is perpendicular to the wire. If the magnetic field is 0.52 mT, what is the magnitude of the force on 3.0 m of the wire?

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B

A cyclotron is designed to accelerate protons (mass 1.67 × 10−27 kg) up to a kinetic energy of 2.5 × 10−13 J. If the radius of the dipole magnets is 96 cm, what is the magnetic field used in the cyclotron?

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C

A power line carries 1000 A at a height of 20 m above the ground. What is the resulting magnetic field at ground level?

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Two parallel wires run in a north-south direction. The eastern wire carries 15.0 A southward while the western wire carries 6.0 A northward. If the wires are separated by 30 cm, what is the magnitude of the magnetic field at a point between the wires 10 cm from the western wire? Two parallel wires run in a north-south direction. The eastern wire carries 15.0 A southward while the western wire carries 6.0 A northward. If the wires are separated by 30 cm, what is the magnitude of the magnetic field at a point between the wires 10 cm from the western wire?

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A proton and electron, each travelling with the same velocity, enter a region of uniform magnetic field. They experience

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Find the force (magnitude and direction) exerted on an electron moving vertically upward at a speed of 2.0 × 107 m/s by a horizontal magnetic field of 0.50 T directed north.

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A charged particle of enters a region of uniform magnetic field at a speed of 2.8 × 106m/s, at an angle of 37 degrees relative to the magnetic field direction. If the magnetic field strength is 1.2 T and the charge of the particle is +e, and the radius of the helical path is 8.8 cm, what is the particle's mass?

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A singly charged 9Be ion is accelerated from rest through a potential difference of 8000 V. The ion is then sent into a mass spectrometer where the radius of the path is 29 cm. What is the magnetic field in the spectrometer?

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When measuring the Hall voltage, what happens to the reading when the current is increased 20%?

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A 10 m long wire carrying a current of 22 A makes an angle of 37° with the Earth's magnetic field of 0.51 mT. What is the magnetic force on the wire?

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If the magnetic field from a long, straight, current-carrying wire has a magnitude B0 at a distance d, what is the magnitude of the field at a distance 2d?

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What is the speed of a proton in a cyclotron having a 0.50 T magnetic field when the proton is at a distance of 25 cm from the center?

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A cyclotron with a magnetic field of 1.2 T is used to accelerate protons. How long does it take for the protons to make one complete trip around the cyclotron at a radius of 25 cm?

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A charged particle of mass 1.0 × 10−26 kg enters a region of uniform magnetic field at a speed of 2.8 × 106 m/s, at an angle of 37 degrees relative to the magnetic field direction. If the magnetic field strength is 1.2 T what will be the radius of the helical path it takes?

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A long straight wire is carrying a current of 2.4 A in a region with a uniform magnetic field. If the magnetic field is 0.52 mT and makes an angle of 60° with the wire, what is the magnitude of the force on 3.0 m of the wire?

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The magnetic forces exerted on each other by two parallel wires with unequal currents flowing in opposite directions are

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The magnetic field in a cyclotron is 0.50 T. Find the magnitude of the magnetic force on a proton with velocity of 1.0 × 107 m/s in a plane perpendicular to the field.

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A proton is moving at 3.0 × 106 m/s and experiences a magnetic force of magnitude 2.5 × 10−16 N. If the magnetic field makes an angle of 40° with respect to the velocity of the proton, what is the field's magnitude?

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A charged particle having electric charge Q = 4.0e enters a region of magnetic field 1.2 T at an angle of 37 degrees relative to the magnetic field direction. If the speed of the particle upon entering the region is 2.8 × 104 m/s, what is the magnitude of the force on the particle?

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