Exam 21: Electric Potential

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A parallel-plate capacitor has a voltage of 391 V applied across its plates,then the voltage source is removed.What is the voltage across its plates if the space between them becomes filled with mica? (The dielectric constant for mica is 5.4 and for air is 1.0006. )

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Consider the group of charges in this figure.All three charges have Q = 2.4 nC.What is their electric potential energy? Consider the group of charges in this figure.All three charges have Q = 2.4 nC.What is their electric potential energy?

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If the potential is constant on a surface,then any electric field present can only be perpendicular to that surface.

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A sphere with radius 2.0 mm carries a 1.0 μC charge.What is the potential difference,VB - VA,between point B 4.0 m from the center of the sphere and point A 9.0 m from the center of the sphere? (The value of k is 9.0 109 N·m2/C2. )

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Two equal positive charges are separated by a fixed distance.If you put a third positive charge midway between these two charges,its electrical potential energy (relative to infinity)is zero because the electrical forces due to the two fixed charges just balance each other.

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Two parallel circular plates with radius 7.0 mm carrying equal-magnitude surface charge densities of ±3.0 μC/m2 are separated by a distance of 1.0 mm.How much stored energy do the plates have?

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Four charged particles (two having a charge +Q and two having a charge -Q)are distributed on the xy-plane,as shown below.Each charge is equidistant from the origin.The voltage is zero at infinity.The amount of work required to move a positively charged particle from point P to point O (which is on the z-axis,below the origin)is Four charged particles (two having a charge +Q and two having a charge -Q)are distributed on the xy-plane,as shown below.Each charge is equidistant from the origin.The voltage is zero at infinity.The amount of work required to move a positively charged particle from point P to point O (which is on the z-axis,below the origin)is

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A parallel-plate capacitor having circular plates of diameter D and a distance d apart stores energy U when it is connected across a fixed potential difference.If you want to triple the amount of energy stored in this capacitor by changing only the size of its plates,the diameter should be changed to:

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Two parallel plates that are initially uncharged are separated by 1.2 mm.What charge must be transferred from one plate to the other if 11.0 kJ of energy are to be stored in the plates? The area of each plate is 19.0 mm2.

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Suppose a region of space has a uniform electric field,directed toward the right,as shown in the figure.Which statement is true? Suppose a region of space has a uniform electric field,directed toward the right,as shown in the figure.Which statement is true?

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If the electric field is zero everywhere inside a region of space,the potential must also be zero in that region.

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A charge of 3.0 μC and a second charge are initially far apart.If it takes 29 J of work to bring them to a final configuration in which the 3.0 μC is at x = 1.0 mm,y - 1.0 mm,and the other charge is at x = 1.0 mm,y = 3.0 mm,find the magnitude of the unknown charge.(The value of k is 9.0 109 N·m2/C2. )

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The potential is zero on the surface of a conductor in electrostatic equilibrium.

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You want to put an electron somewhere between the plates of a parallel plate capacitor so that it will have the maximum electrical potential energy relative to one of the plates.The best place to put it is at the inner surface of the negative plate.

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Suppose you have two point charges,+Q and -q.As you pull them farther and farther apart,you increase the potential energy of this system relative to infinity.

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A proton is accelerated from rest through a potential difference Vo and gains a speed vo.If it were accelerated instead through a potential difference of 2Vo,it would gain a speed:

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A parallel-plate capacitor has a potential energy due to its charge of 6.00 mJ.It is accidentally filled with water in such a way as not to discharge its plates.How much energy does it continue to store after it is filled? (The dielectric constant for water is 78 and for air is 1.0006. )

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A parallel plate capacitor contains a positively charged plate on the left,and a negatively charged plate on the right.An electron in between the plates is moving to the right.Which statement is true?

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Two conductors are joined by a long copper wire.Thus

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A 1.0 μF capacitor has a potential difference of 6.0 V applied across its plates.If the potential difference across its plates is increased to 8.0 V,how much additional energy does the capacitor store?

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