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A region of space contains a uniform electric field,directed toward the right,as shown in the figure.Which statement about this situation is correct? A region of space contains a uniform electric field,directed toward the right,as shown in the figure.Which statement about this situation is correct?   A) The potential at all three locations is the same. B) The potentials at points A and B are equal,and the potential at point C is higher than the potential at point A. C) The potential at points A and B are equal,and the potential at point C is lower than the potential at point A. D) The potential at point A is the highest,the potential at point B is the second highest,and the potential at point C is the lowest.


A) The potential at all three locations is the same.
B) The potentials at points A and B are equal,and the potential at point C is higher than the potential at point A.
C) The potential at points A and B are equal,and the potential at point C is lower than the potential at point A.
D) The potential at point A is the highest,the potential at point B is the second highest,and the potential at point C is the lowest.

E) A) and B)
F) A) and C)

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How much kinetic energy does a proton gain if it is accelerated,with no friction,through a potential difference of 1.00 V? The proton is 1836 times heavier than an electron,and e = 1.60 × 10-19 C.


A) 1836 eV
B) 1.00 eV
C) 1.60 × 10-19 eV
D) 1.00 J
E) 1836 J

F) A) and B)
G) B) and E)

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Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0010 Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0010   ,and the separation of the plates is   An electric field of   Is present between the plates.What is the capacitance of this capacitor? (ε<sub>0</sub> = 8.85 × 10<sup>-12 </sup>C<sup>2</sup>/N ∙ m<sup>2</sup>)  A) 180 pF B) 120 pF C) 300 pF D) 240 pF E) 360 pF ,and the separation of the plates is Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0010   ,and the separation of the plates is   An electric field of   Is present between the plates.What is the capacitance of this capacitor? (ε<sub>0</sub> = 8.85 × 10<sup>-12 </sup>C<sup>2</sup>/N ∙ m<sup>2</sup>)  A) 180 pF B) 120 pF C) 300 pF D) 240 pF E) 360 pF An electric field of Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0010   ,and the separation of the plates is   An electric field of   Is present between the plates.What is the capacitance of this capacitor? (ε<sub>0</sub> = 8.85 × 10<sup>-12 </sup>C<sup>2</sup>/N ∙ m<sup>2</sup>)  A) 180 pF B) 120 pF C) 300 pF D) 240 pF E) 360 pF Is present between the plates.What is the capacitance of this capacitor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 180 pF
B) 120 pF
C) 300 pF
D) 240 pF
E) 360 pF

F) B) and E)
G) C) and D)

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A parallel-plate capacitor consists of two parallel,square plates having dimensions 1.0 cm by 1.0 cm.The plates are separated by A parallel-plate capacitor consists of two parallel,square plates having dimensions 1.0 cm by 1.0 cm.The plates are separated by   And the space between them is filled with Teflon,which has a dielectric constant of 2.1.What is the capacitance of this capacitor? (ε<sub>0</sub> = 8.85 × 10<sup>-12 </sup>C<sup>2</sup>/N ∙ m<sup>2</sup>)  A) 1.9 pF B) 0.44 pF C) 2.1 pF D) 0.89 pF And the space between them is filled with Teflon,which has a dielectric constant of 2.1.What is the capacitance of this capacitor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 1.9 pF
B) 0.44 pF
C) 2.1 pF
D) 0.89 pF

E) None of the above
F) B) and D)

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Two protons are fired toward each other in a particle accelerator,with only the electrostatic force acting.Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice. )


A) Their electric potential energy keeps increasing.
B) Their kinetic energy keeps increasing.
C) Their electric potential energy keeps decreasing.
D) Their kinetic energy keeps decreasing.
E) Their acceleration keeps decreasing.

F) C) and E)
G) A) and D)

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A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V.How much kinetic energy does it gain? (e = 1.60 × 10-19C)


A) 500 J
B) 8.0 × 10-17 J
C) 1.6 × 10-19 J
D) 800 J

E) None of the above
F) A) and B)

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Four +6.00-µC point charges are at the corners of a square 2.00 m on each side.What is the electric potential of these charges,relative to infinity,at the center of this square? Four +6.00-µC point charges are at the corners of a square 2.00 m on each side.What is the electric potential of these charges,relative to infinity,at the center of this square?   A) 76.4 kV B) 38.2 kV C) 306 kV D) 153 kV E) 61.0 kV


A) 76.4 kV
B) 38.2 kV
C) 306 kV
D) 153 kV
E) 61.0 kV

F) C) and D)
G) A) and B)

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In the figure,+4.0-μC and -4.0-μC point charges are located as shown.Now an additional +2.00-µC point charge is placed at point A.What is the electric potential energy of this system of three charges,relative to infinity? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2) In the figure,+4.0-μC and -4.0-μC point charges are located as shown.Now an additional +2.00-µC point charge is placed at point A.What is the electric potential energy of this system of three charges,relative to infinity? (k = 1/4πε<sub>0</sub> = 8.99 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)    A) +264 mJ B) -264 mJ C) 0.00 J D) -26.4 mJ E) +26.4 mJ


A) +264 mJ
B) -264 mJ
C) 0.00 J
D) -26.4 mJ
E) +26.4 mJ

F) C) and D)
G) D) and E)

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An ideal parallel-plate capacitor consists of two parallel plates of area A separated by a distance d.This capacitor is connected across a battery that maintains a constant potential difference between the plates.If the separation between the plates is now doubled,the magnitude of the charge on the plates will


A) double.
B) quadruple.
C) be cut in half.
D) be cut in fourth.
E) not change.

F) D) and E)
G) B) and D)

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After a proton with an initial speed of 1.50 × 105 m/s has increased its speed by accelerating through a potential difference of 0.100 kV,what is its final speed? (e = 1.60 × 10-19 C ,mproton = 1.67 × 10-27 kg)


A) 4.56 × 105 m/s
B) 2.04 × 105 m/s
C) 3.55 × 105 m/s
D) 8.80 × 105 m/s
E) 1.55 × 106 m/s

F) All of the above
G) B) and C)

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The three point charges shown in the figure form an equilateral triangle with sides 4.9 cm long.What is the electric potential (relative to infinity) at the point indicated with the dot,which is equidistant from all three charges? Assume that the numbers in the figure are all accurate to two significant figures. The three point charges shown in the figure form an equilateral triangle with sides 4.9 cm long.What is the electric potential (relative to infinity) at the point indicated with the dot,which is equidistant from all three charges? Assume that the numbers in the figure are all accurate to two significant figures.     A) 0.00 V B) 1,300 V C) 640 V D) 1,900 V The three point charges shown in the figure form an equilateral triangle with sides 4.9 cm long.What is the electric potential (relative to infinity) at the point indicated with the dot,which is equidistant from all three charges? Assume that the numbers in the figure are all accurate to two significant figures.     A) 0.00 V B) 1,300 V C) 640 V D) 1,900 V


A) 0.00 V
B) 1,300 V
C) 640 V
D) 1,900 V

E) A) and B)
F) A) and C)

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An electric dipole with ±5.0 μC point charges is positioned so that the positive charge is An electric dipole with ±5.0 μC point charges is positioned so that the positive charge is   To the right of the origin and the negative charge is at the origin.How much work does it take to bring a   Point charge from very far away to the point x = 3.0 mm,y = 0.0 mm? (k = 1/4πε<sub>0</sub> = 9.0 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)  A) 23 J B) 110 J C) 19 J D) 49 J To the right of the origin and the negative charge is at the origin.How much work does it take to bring a An electric dipole with ±5.0 μC point charges is positioned so that the positive charge is   To the right of the origin and the negative charge is at the origin.How much work does it take to bring a   Point charge from very far away to the point x = 3.0 mm,y = 0.0 mm? (k = 1/4πε<sub>0</sub> = 9.0 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)  A) 23 J B) 110 J C) 19 J D) 49 J Point charge from very far away to the point x = 3.0 mm,y = 0.0 mm? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)


A) 23 J
B) 110 J
C) 19 J
D) 49 J

E) None of the above
F) All of the above

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Two parallel circular plates,each with a radius of Two parallel circular plates,each with a radius of   And carrying equal-magnitude surface charge densities of   Are separated by a distance of   With only air between them.How much energy is stored in these plates? (ε<sub>0</sub> = 8.85 × 10<sup>-12 </sup>C<sup>2</sup>/N ∙ m<sup>2</sup>)  A) 78 nJ B) 25 nJ C) 7.9 nJ D) 250 nJ And carrying equal-magnitude surface charge densities of Two parallel circular plates,each with a radius of   And carrying equal-magnitude surface charge densities of   Are separated by a distance of   With only air between them.How much energy is stored in these plates? (ε<sub>0</sub> = 8.85 × 10<sup>-12 </sup>C<sup>2</sup>/N ∙ m<sup>2</sup>)  A) 78 nJ B) 25 nJ C) 7.9 nJ D) 250 nJ Are separated by a distance of Two parallel circular plates,each with a radius of   And carrying equal-magnitude surface charge densities of   Are separated by a distance of   With only air between them.How much energy is stored in these plates? (ε<sub>0</sub> = 8.85 × 10<sup>-12 </sup>C<sup>2</sup>/N ∙ m<sup>2</sup>)  A) 78 nJ B) 25 nJ C) 7.9 nJ D) 250 nJ With only air between them.How much energy is stored in these plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 78 nJ
B) 25 nJ
C) 7.9 nJ
D) 250 nJ

E) None of the above
F) B) and D)

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If the result of your calculation of a quantity has SI units of kg ∙ m/(s2 ∙C) ,that quantity could be


A) an electric field strength.
B) a dielectric constant.
C) an electric potential difference.
D) a capacitance.

E) A) and B)
F) A) and C)

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As an electron moves in the direction the electric field lines


A) it is moving from low potential to high potential and gaining electric potential energy.
B) it is moving from low potential to high potential and losing electric potential energy.
C) it is moving from high potential to low potential and gaining electric potential energy.
D) it is moving from high potential to low potential and losing electric potential energy.
E) both its electric potential and electric potential energy remain constant.

F) A) and D)
G) B) and C)

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Doubling the potential across a given capacitor causes the energy stored in that capacitor to


A) quadruple.
B) double.
C) reduce to one-half.
D) reduce to one-fourth.

E) None of the above
F) A) and B)

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A dielectric material such as paper is inserted between the plates of a capacitor as the capacitor holds a fixed charge on its plates.What happens to the electric field between the plates as the dielectric is inserted?


A) There is no change in the field.
B) The field becomes stronger.
C) The field becomes weaker.
D) The field reduces to zero.

E) A) and B)
F) All of the above

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A +5.0-nC charge is at the point (0.00 m,0.00 m) and a -2.0-nC charge is at (3.0 m,0.00 m) .What work is required to bring a 1.0-nC charge from very far away to point (0.00 m,4.0 m) ? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)


A) 15 nJ
B) 3.6 nJ
C) 11 nJ
D) 7.7 nJ

E) B) and C)
F) A) and D)

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Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other.If the smaller capacitor has capacitance C,the larger one has capacitance


A) C/2.
B) C.
C) 2C.
D) 4C.

E) A) and D)
F) B) and C)

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What charge accumulates on the plates of a 2.0-μF air-filled capacitor when it is charged until the potential difference across its plates is 100 V?


A) 50 μC
B) 100 μC
C) 150 μC
D) 200 μC

E) A) and D)
F) A) and B)

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