Exam 23: Electric Potential

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In an effort to produce nuclear fusion you fire a deuterium nuclei (q = + 1e,m = 3.34 * 10-27kg)directly at another (fixed)hydrogen nucleus.How fast must you fire the deuterium for it to approach within 2.0 * 10-15 m of the nuclei?

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At a distance d from a charge,the electric potential is V.What would be the electric potential a distance d/2 from the same charge?

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What is the magnitude of the electric potential at point P (in V)at a distance R = 3.50 m from a point charge Q of magnitude 4.00 μ\mu C?  What is the magnitude of the electric potential at point P (in V)at a distance R = 3.50 m from a point charge Q of magnitude 4.00  \mu C?

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Consider two isolated metal spheres,the first with a charge of 8.7 Consider two isolated metal spheres,the first with a charge of 8.7   and a radius of 25 cm and the second uncharged with a radius of 5.4 cm.What is the charge on the smaller sphere after a long thin metal wire is used to connect the two spheres? and a radius of 25 cm and the second uncharged with a radius of 5.4 cm.What is the charge on the smaller sphere after a long thin metal wire is used to connect the two spheres?

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When two charges are separated by a distance d,their electric potential energy is equal to U.What would be their electric potential energy if the separation distance was d/2?

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A 250-g metal ball with a charge of 0.50 mC has a kinetic energy of 6.0 * 108 J.It is traveling directly at an infinite plane of charge with a charge density of 33 C/m2.If it is currently 2.0 m away from the plane of charge,how close will it come to the plane before stopping?

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An infinite plane of charge has a planar charge density of + 2.2 nC/m2 and is located in the yz plane at x=0.What fixed point charge should be placed on the x-axis at x = + 1.0 m to make the electric potential a minimum on the x-axis at x=+0.65 m?

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The period of motion of a proton (mass: 1.67 * 10-27 kg)in a one-dimensional electrical potential (17 mV/m2)x2 executes simple harmonic motion with what frequency?

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Two parallel plates are held at a potential of + 220 V and + 130 V.If the plates have area of 44 cm2 and are separated by a distance of 7.3 mm,what is the magnitude of the electric field between the plates?

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The electric potential at a point is space is given by the relation V = 23x - 27y + 11y2 + 72.What is the magnitude of the electric field (in V/m)at the point r = (3.0,2.0,1.0)?

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An infinite plane of charge has a uniform planar charge density and is located in the yz plane at x=0.A fixed point charge placed on the x-axis at x = + 1.0 m and the electric potential is a minimum on the x-axis at x=+0.31 m.What is the planar charge density on the plane?

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An insulating sheet in the xz-plane is uniformly charged with charge surface density σ\sigma = 6.2 * 10-6 C/m2.What is the change in electric potential when a charge of Q=3.3 μ\mu C is moved from a position that is 6.2 m away from the sheet to a position that is 1.3 m away from the sheet?

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An electric potential is given by V=4x2 + 2y2 + x + z + 2 volts.What is the electric field at the point (2,2,2)?

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Four identical point charges (+ 2.50 nC)are placed at the corners of a rectangle which measures 2.00 m * 4.00 m.If the electric potential is taken to be zero at infinity,what is the potential at the geometric center of this rectangle?

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A point charge of 5 µC is moved against a potential difference of + 20 V.What is the work done by the force moving the charge?

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A positive point charge q1 = 3.70 μ\mu C is located at the origin (x=0,y=0).The charge is held fixed.Another point charge q2 = 6.90 μ\mu C starts at the point (0.170 m,0).What is the magnitude of the work required to move q2 to (0,0.370 m)(in J)?  A positive point charge q<sub>1</sub> = 3.70  \mu C is located at the origin (x=0,y=0).The charge is held fixed.Another point charge q2 = 6.90  \mu C starts at the point (0.170 m,0).What is the magnitude of the work required to move q<sub>2</sub> to (0,0.370 m)(in J)?

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Two isolated spheres have the same electric potential at their surface,but sphere A has twice the radius of sphere B.How is the charge on sphere A related to the charge on sphere B?

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The potential energy stored in a system consisting of an electric dipole in a constant electric field is zero when the angle between the electric dipole moment and the electric field is:

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An electron is placed in an electric field and is allowed to accelerate for a distance of 1 m.If the strength of the electric field is E = 200 V/m then what is the final velocity of the electron,assuming it starts from rest?

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An electric potential has the value (22V/m)(y)- (13V/m2 )(z-3m)2.What is the magnitude of electric field at the origin?

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