Exam 24: Electric Potential

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Two conducting spheres are far apart. The smaller sphere carries a total charge of Q. The larger sphere has a radius that is twice that of the smaller and is neutral. After the two spheres are connected by a conducting wire, the charges on the smaller and larger spheres, respectively, are:

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Equipotential surfaces associated with an electric dipole are:

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A hollow metal sphere is charged to a potential V. The potential at its center is:

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A particle with a charge of 5.5 *10-6 C is 3.5 cm from a particle with a charge of -2.3 *10-8 C. The potential energy of this two-particle system, relative to the potential energy at infinite separation, is:

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A particle with a charge of 5.5 *10-8C is fixed at the origin. A particle with a charge of -2.3 *10-8C is moved from x = 3.5 cm on the x axis to y = 4.3 cm on the y axis. The change in potential energy of the two-particle system is:

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An electron has charge -e and mass me. A proton has charge e and mass 1840me. A "proton volt" is equal to:

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Positive charge is distributed uniformly throughout a non-conducting sphere. The highest electric potential occurs:

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If 500 J of work are required to carry a 40-C charge from one point to another, the potential difference between these two points is:

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The electric potential in a certain region of space is given by V = -7.5x2 + 3x, where V is in volts and x is in meters. In this region the equipotential surfaces are:

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In a certain region of space the electric potential increases uniformly from east and west and does not vary in any other direction. The electric field:

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In separate experiments, four different particles each start from far away with the same speed and impinge directly on a gold nucleus. The masses and charges of the particles are In separate experiments, four different particles each start from far away with the same speed and impinge directly on a gold nucleus. The masses and charges of the particles are   Rank the particles according to the distance of closest approach to the gold nucleus, from smallest to largest. Rank the particles according to the distance of closest approach to the gold nucleus, from smallest to largest.

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A particle with a charge of 5.5 *10-8C charge is fixed at the origin. A particle with a charge of-2.3 *10-8C charge is moved from x = 3.5 cm on the x axis to y = 3.5 cm on the y axis. The change in the potential energy of the two-charge system is:

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The potential difference between its ends of a 2-meter stick that is parallel to a uniform electric field is 400 V. The magnitude of the electric field is:

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An electron volt is:

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A metal sphere carries a charge of 5*10-9 C and is at a potential of 400 V, relative to the potential far away. The potential at the center of the sphere is:

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Three possible configurations for an electron e and a proton p are shown below. Take the zero of potential to be at infinity and rank the three configurations according to the potential at S, from most negative to most positive. Three possible configurations for an electron e and a proton p are shown below. Take the zero of potential to be at infinity and rank the three configurations according to the potential at S, from most negative to most positive.

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The electric field in a region around the origin is given by The electric field in a region around the origin is given by   where C is a constant. The equipotential surfaces are: where C is a constant. The equipotential surfaces are:

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Eight identical spherical raindrops are each at a potential V, relative to the potential far away. They coalesce to make one spherical raindrop whose potential is:

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Two large parallel conducting plates are separated by a distance d, placed in a vacuum, and connected to a source of potential difference V. An oxygen ion, with charge 2e, starts from rest on the surface of one plate and accelerates to the other. If e denotes the magnitude of the electron charge, the final kinetic energy of this ion is:

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Two conducting spheres, one having twice the diameter of the other, are separated by a distance large compared to their diameters. The smaller sphere (1) has charge q and the larger sphere (2) is uncharged. If the spheres are connected by a long thin wire: Two conducting spheres, one having twice the diameter of the other, are separated by a distance large compared to their diameters. The smaller sphere (1) has charge q and the larger sphere (2) is uncharged. If the spheres are connected by a long thin wire:

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