Question 1

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

Accepted Answer

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 
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

Question 2

The plate areas and plate separations of five parallel plate capacitors are   Rank these according to their capacitances, least to greatest.

Accepted Answer

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 
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

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

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. 
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.

Question 5

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:

Accepted Answer

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

Question 6

Pulling the plates of an isolated charged capacitor apart:

Accepted Answer

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 
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

Question 7

To store a total of 0.040 J of energy in the two identical capacitors shown, each should have a capacitance of:

Accepted Answer

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$\mu$F 
B) 1.0$\mu$F 
C) 1.5 $\mu$F 
D) 2.0$\mu$F 
E) 4.0 $\mu$F

Question 8

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:

Accepted Answer

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 
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

Question 9

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?

Accepted Answer

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

Question 10

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?

Accepted Answer

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

Question 11

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

Accepted Answer

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

Question 12

The diagram shows six 6-$\mu$F capacitors.The capacitance between points a and b is:

Accepted Answer

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

Question 13

A 2-$\mu$F and a 1-$\mu$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:

Accepted Answer

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 
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

Question 14

Each of the four capacitors shown is 500 $\mu$F.The voltmeter reads 1000V.The magnitude of the charge on each capacitor plate is:

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

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:

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

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:

Accepted Answer

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

Question 20

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:

Accepted Answer

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

Exam 25: Capacitance

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

The plate areas and plate separations of five parallel plate capacitors are Rank these according to their capacitances, least to greatest.

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

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

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:

Pulling the plates of an isolated charged capacitor apart:

To store a total of 0.040 J of energy in the two identical capacitors shown, each should have a capacitance of:

Each of the three 25- μ\muμ F capacitors shown is initially uncharged.How many coulombs of charge pass through the ammeter A after the switch S is closed?

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?

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

The diagram shows six 6- μ\muμ F capacitors.The capacitance between points a and b is:

A 2- μ\muμ F and a 1- μ\muμ 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:

Each of the four capacitors shown is 500 μ\muμ F.The voltmeter reads 1000V.The magnitude of the charge on each capacitor plate is:

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

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

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

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:

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:

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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 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?

The diagram shows six 6- $\mu$ 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 2- $\mu$ F and a 1- $\mu$ 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:

Each of the four capacitors shown is 500 $\mu$ 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 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 2- $\mu$ F and a 1- $\mu$ F capacitor are connected in parallel and a potential difference is applied across the combination.The 2- $\mu$ F capacitor has:

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