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An ideal air-filled parallel plate capacitor with plate a separation of 4.0 cm has a plate area of 0.040 m2.What is the capacitance of this capacitor with air between these plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 89 pF
B) 8.9 pF
C) 0.89 pF
D) 8.9 µF
E) 8.9 nF

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

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A uniform electric field has the strength of 7.0 N/C7.0 \mathrm {~N} / \mathrm { C } What is the electric energy density of this field? (ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 2.2 × 10-10 J/m3
B) 3.1 × 10-11 J/m3
C) 2.8 × 1012 J/m3
D) 5.5 × 1012 J/m3

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

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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 to a battery and charged until its plates carry charges +Q and -Q,and the battery is then disconnected.If the separation between the plates is now doubled,the electrical energy stored in the capacitor will


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

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

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A +4.0-μC and a -4.0-μC point charge are placed as shown in the figure.What is the potential difference between points A and B? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2) A +4.0-μC and a -4.0-μC point charge are placed as shown in the figure.What is the potential difference between points A and B? (k = 1/4πε<sub>0</sub> = 9.0 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)    A) 48 V B) 96 V C) 0 V D) 96 kV E) 48 kV


A) 48 V
B) 96 V
C) 0 V
D) 96 kV
E) 48 kV

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

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When a 12.0-V battery causes 2.00 μC of charge to flow onto the plates of an air-filled capacitor,how much work did the battery do?


A) 24.0 μJ
B) 12.0 μJ
C) 144 μJ
D) 576 J

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

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Which of the following will increase the capacitance of a parallel-plate capacitor? (There could be more than one correct choice.)


A) a decrease in the plate area and an increase in the plate separation
B) a decrease in the potential difference between the plates
C) an increase in the potential difference between the plates
D) an increase in the plate area and a decrease in the plate separation
E) an increase in the charge on the plates

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

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As an electron moves in the direction the E\vec { E } field lines


A) it is moving from the field's low potential to high potential and the electric potential energy of the system electron-electric field is increasing.
B) it is moving from the field's low potential to high potential and the electric potential energy of the system electron-electric field is decreasing.
C) it is moving from the field's high potential to low potential and the electric potential energy of the system electron-electric field is increasing.
D) it is moving from the field's high potential to low potential and the electric potential energy of the system electron-electric field is decreasing.
E) both the electric potential and electric potential energy of the system electron-electric field remain constant.

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

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At a distance d from a point charge Q,the energy density in its electric field is u.If we now go to a distance d/2 from the charge,what is the energy density at the new location?


A) 16u
B) 8u
C) 4u
D) 2u
E) u 2\sqrt { 2 }

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

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Two point charges of +2.00 μC and +4.00 μC are at the origin and at the point x = 0.000 m,y = -0.300 m,as shown in the figure.What is the electric potential due to these charges,relative to infinity,at the point P at x = 0.400 m on the x-axis? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2) Two point charges of +2.00 μC and +4.00 μC are at the origin and at the point x = 0.000 m,y = -0.300 m,as shown in the figure.What is the electric potential due to these charges,relative to infinity,at the point P at x = 0.400 m on the x-axis? (k = 1/4πε<sub>0</sub> = 8.99 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)    A) 117 kV B) 15.7 kV C) 11.7 kV D) 56.0 kV E) 36.0 kV


A) 117 kV
B) 15.7 kV
C) 11.7 kV
D) 56.0 kV
E) 36.0 kV

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

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An ideal,isolated,air-filled parallel-plate capacitor is not connected to a battery but has equal and opposite charges of 3.9 nC on its plates.The separation between the plates initially is 1.2 mm,and for this separation the capacitance is 3.1 × 10-11 F.How much work must be done to pull the plates apart until their separation becomes 7.7 mm? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

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When the magnitude of the charge on each plate of an air-filled capacitor is 4 μC,the potential difference between the plates is 80 V.What is the capacitance of this capacitor?


A) 0.1 µF
B) 50 µF
C) 100 µF
D) 20 µF
E) 50 nF

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

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

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Three equal-magnitude point charges of varying signs are placed at the corners of a square of side d as shown in the figure.Which one of the arrows shown represents the direction of the net E\vec { E } field at the center of the square?  Three equal-magnitude point charges of varying signs are placed at the corners of a square of side d as shown in the figure.Which one of the arrows shown represents the direction of the net  \vec { E }  field at the center of the square?   A) A B) B C) C D) D


A) A
B) B
C) C
D) D

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

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The square plates of a 5000-pF parallel-plate capacitor measure 50 mm by 50 mm and are separated by a dielectric that is 0.23 mm0.23 \mathrm {~mm} thickand totally fills the region between the plates.The voltage rating (the maximum safe voltage) of the capacitor is 400 V400 \mathrm {~V} What is the maximum energy that can be stored in this capacitor without damaging it? (ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 0.40 mJ
B) 0.50 mJ
C) 0.60 mJ
D) 0.70 mJ
E) 0.80 mJ

F) None of the above
G) All of the above

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The figure shows two unequal charges,+q and -Q.Charge -Q has greater magnitude than charge +q.Point X is midway between the charges.In what section of the line will there be a point where the resultant E\vec { E } field is zero?  The figure shows two unequal charges,+q and -Q.Charge -Q has greater magnitude than charge +q.Point X is midway between the charges.In what section of the line will there be a point where the resultant  \vec { E }  field is zero?   A) VW B) WX C) XY D) YZ


A) VW
B) WX
C) XY
D) YZ

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

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A parallel-plate capacitor consists of a set of two parallel plates of area A separated by a distance d.This capacitor is connected to a battery that maintains a constant potential difference across the plates.A slab of a dielectric material is inserted in the region between the plates and completely fills it.What changes would you observe as the dielectric is inserted? (There could be more than one correct choice.)


A) Only the charge on the plates of the capacitor would change.
B) Only the capacitance would change.
C) Both the charge on the plates of the capacitor and its capacitance would change.
D) The potential difference across the plates would increase.
E) Nothing would change.

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

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The electron-volt is a unit of


A) charge.
B) electric potential.
C) E\vec { E } field.
D) electric force.
E) energy.

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

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An air-filled capacitor has a potential difference between the plates of 80 V.If the charge on each of the plates of the capacitor has magnitude 8.0 μC,what is the electrical energy stored by this capacitor?


A) 640 µJ
B) 320 µJ
C) 50 nJ
D) 60 nJ
E) 30 pJ

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

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A space probe approaches a planet,taking measurements as it goes.If it detects a potential difference of 6000 MV between the altitudes of 253,000 km and 276,000 km above the planet's surface,what is the approximate electric field strength produced by the planet at 264,500 km above the surface? Assume the E\vec { E } field is approximately constant at these altitudes.


A) 261 N/C
B) 0.261 N/C
C) 561 N/C
D) 493 μN/C

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

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A conductor is placed in a steady external electric field.Which of the following statements are correct for this situation? (There could be more than one correct choice.)


A) The electric field is zero inside the conductor.
B) All the free electrons go to the surface of the conductor.
C) The surface of the conductor is neutral.
D) The electric field just outside the surface of the conductor is perpendicular to the surface.
E) None of the above statements are correct.

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

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