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A parallel-plate capacitor has a plate area of 0.2 m2 and a plate separation of 0.1 mm.If the charge on each plate has a magnitude of 4 *10-6 C the potential difference across the plates is approximately:


A) 0 V
B) 4 * 10-2 V
C) 2 * 102 V
D) 2 *105 V
E) 4 * 108 V

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

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A parallel-plate capacitor has a plate area of 0.3 m2 and a plate separation of 0.1 mm.If the charge on each plate has a magnitude of 5 *10-6 C then the force exerted by one plate on the other has a magnitude of about:


A) 5 N
B) 9 N
C) 1 * 104 N
D) 9 *105 N
E) 2* 107 N

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

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What happens to the atoms in a dielectric when it is placed between the plates of a charged capacitor?


A) They begin to conduct electricity.
B) They create an induced electric field that is in the opposite direction of the field due to the charges on the plates.
C) They create an induced electric field that is in the same direction as the field due to the charges on the plates.
D) They completely cancel the electric field due to the charges on the plates.
E) They rotate so their positive ends are towards the positively charged plate.

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

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A parallel-plate capacitor C has a charge Q.The actual charges on its plates are:


A) Q, Q
B) Q/2, Q/2
C) Q, -Q
D) Q/2, -Q/2
E) Q, 0

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

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Each of the three 25- μ\mu F capacitors shown is initially uncharged.How many coulombs of charge pass through the ammeter A after the switch S is closed?  Each of the three 25- \mu F capacitors shown is initially uncharged.How many coulombs of charge pass through the ammeter A after the switch S is closed?   A) 0.033 C B) 0.10 C C) 0.30 C D) 10 C E) none of these


A) 0.033 C
B) 0.10 C
C) 0.30 C
D) 10 C
E) none of these

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

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To charge a 1-F capacitor with 2 C requires a potential difference of:


A) 0.2 V
B) 0.5 V
C) 2 V
D) 5 V
E) none of these

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

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Capacitors C1 and C2 are connected in series.The equivalent capacitance is given by:


A) C1C2/(C1 + C2)
B) (C1 + C2) /C1C2
C) 1/(C1 + C2)
D) C1/C2
E) C1 + C2

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

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Let Q denote charge, V denote potential difference and U denote stored energy.Of these quantities, capacitors in series must have the same:


A) Q only
B) V only
C) U only
D) Q and U only
E) V and U only

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

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A parallel-plate capacitor has a plate area of 0.30 m2 and a plate separation of 0.10 mm.If the charge on each plate has a magnitude of 5.0 *10-6 C, what is the energy density in its electric field?


A) 0.16 J/m3
B) 3.5 J/m3
C) 7.8 J/m3
D) 16 J/m3
E) 24 J/m3

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

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A 2- μ\mu F and a 1- μ\mu F capacitor are connected in parallel and a potential difference is applied across the combination.The 2- μ\mu F capacitor has:


A) twice the charge of the 1- μ\mu F capacitor
B) half the charge of the 1- μ\mu F capacitor
C) twice the potential difference of the 1- μ\mu F capacitor
D) half the potential difference of the 1- μ\mu F capacitor
E) none of the above

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

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The plate areas and plate separations of five parallel plate capacitors are The plate areas and plate separations of five parallel plate capacitors are   Rank these according to their capacitances, least to greatest. A) 1, 2, 3, 4, 5 B) 5, 4, 3, 2, 1 C) 5, then 3 and 4 tie, then 1, then 2 D) 4, then 1 and 2 tie, then 5, then 3 E) 3, then 5, then 1 and 2 tie, then 4 Rank these according to their capacitances, least to greatest.


A) 1, 2, 3, 4, 5
B) 5, 4, 3, 2, 1
C) 5, then 3 and 4 tie, then 1, then 2
D) 4, then 1 and 2 tie, then 5, then 3
E) 3, then 5, then 1 and 2 tie, then 4

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

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The diagram shows six 6- μ\mu F capacitors.The capacitance between points a and b is:  The diagram shows six 6- \mu F capacitors.The capacitance between points a and b is:   A) 1 \mu F B) 3  \mu F C) 4  \mu F D) 6  \mu F E) 9  \mu F


A) 1 μ\mu F
B) 3 μ\mu F
C) 4 μ\mu F
D) 6 μ\mu F
E) 9 μ\mu F

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

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A 2- μ\mu F and a 1- μ\mu F capacitor are connected in series and charged by a battery.They store energies P and Q, respectively.When disconnected and charged separately using the same battery, they have energies R and S, respectively.Then:


A) R > P > S > Q
B) P > Q > R > S
C) R > P > Q > S
D) P > R > S > Q
E) R > S > Q > P

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

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A battery is used to charge a series combination of two identical capacitors.If the potential difference across the battery terminals is V and total charge Q flows through the battery during the charging process then the charge on the positive plate of each capacitor and the potential difference across each capacitor are:


A) Q/2 and V/2, respectively
B) Q and V, respectively
C) Q/2 and V, respectively
D) Q and V/2, respectively
E) Q and 2V, respectively

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

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Each of the four capacitors shown is 500 μ\mu F.The voltmeter reads 1000V.The magnitude of the charge on each capacitor plate is:  Each of the four capacitors shown is 500  \mu F.The voltmeter reads 1000V.The magnitude of the charge on each capacitor plate is:   A) 0.2 C B) 0.5 C C) 20 C D) 50 C E) none of these


A) 0.2 C
B) 0.5 C
C) 20 C
D) 50 C
E) none of these

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

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Two parallel-plate capacitors with different capacitance but the same plate separation are connected in series to a battery.Both capacitors are filled with air.The quantity that is the same for both capacitors when they are fully charged is:


A) potential difference
B) stored energy
C) energy density
D) electric field between the plates
E) charge on the positive plate

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

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If the charge on a parallel-plate capacitor is doubled:


A) the capacitance is halved
B) the capacitance is doubled
C) the electric field is halved
D) the electric field is doubled
E) the surface charge density is not changed on either plate

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

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Pulling the plates of an isolated charged capacitor apart:


A) increases the capacitance
B) increases the potential difference
C) does not affect the potential difference
D) decreases the potential difference
E) does not affect the capacitance

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

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A battery is used to charge a parallel-plate capacitor, after which it is disconnected.Then the plates are pulled apart to twice their original separation.This process will double the:


A) capacitance
B) surface charge density on each plate
C) stored energy
D) electric field between the two places
E) charge on each plate

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

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To store a total of 0.040 J of energy in the two identical capacitors shown, each should have a capacitance of:  To store a total of 0.040 J of energy in the two identical capacitors shown, each should have a capacitance of:   A) 0.50 \mu F B) 1.0 \mu F C) 1.5  \mu F D) 2.0 \mu F E) 4.0  \mu F


A) 0.50 μ\mu F
B) 1.0 μ\mu F
C) 1.5 μ\mu F
D) 2.0 μ\mu F
E) 4.0 μ\mu F

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

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