Question 1

When two or more capacitors are connected in series to a battery,

Accepted Answer

A) the total voltage across the combination is the algebraic sum of the voltages across the individual capacitors. 
B) each capacitor carries the same amount of charge. 
C) the equivalent capacitance of the combination is less than the capacitance of any of the capacitors. 
D) all of the given answers 
E) none of the given answers 
A) the total voltage across the combination is the algebraic sum of the voltages across the individual capacitors. 
B) each capacitor carries the same amount of charge. 
C) the equivalent capacitance of the combination is less than the capacitance of any of the capacitors. 
D) all of the given answers 
E) none of the given answers D

Question 2

A 5.0 μF and a 7.0 μF capacitor are connected in series across an 8.0-V DC source. What is the voltage across the 5.0 μF capacitor?

Accepted Answer

A) 0 V 
B) 8.0 V 
C) 2.7 V 
D) 3.6 V 
E) 4.7 V 
A) 0 V 
B) 8.0 V 
C) 2.7 V 
D) 3.6 V 
E) 4.7 V E

Question 3

Three identical capacitors are connected in parallel to a battery. If a total charge of Q flows from the battery, how much charge does each capacitor carry?

Accepted Answer

A) 9Q 
B) 3Q 
C) Q 
D) Q/3 
E) Q/9 
A) 9Q 
B) 3Q 
C) Q 
D) Q/3 
E) Q/9 D

Question 4

FIGURE 24-10  
-Fig. 24-10 shows three capacitors connected to a battery of voltage V = 6 V. The charges on the capacitors are known to be Q = 24 μC for C1 and C2, and Q3 = 96 μC for C3. What are the values of the capacitances C1, C2, and C3?

Accepted Answer

A) C1 = 8 μF, C2 = 16 μF, C3 = 24 μF 
B) C1 = 6 μF, C2 = 12 μF, C3 = 16 μF 
C) C1 = 10 μF, C2 = 20 μF, C3 = 30 μF 
D) C1 = 21 μF, C2 = 7 μF, C3 = 3 μF 
E) C1 = 5 μF, C2 = 14 μF, C3 = 18 μF 
A) C1 = 8 μF, C2 = 16 μF, C3 = 24 μF 
B) C1 = 6 μF, C2 = 12 μF, C3 = 16 μF 
C) C1 = 10 μF, C2 = 20 μF, C3 = 30 μF 
D) C1 = 21 μF, C2 = 7 μF, C3 = 3 μF 
E) C1 = 5 μF, C2 = 14 μF, C3 = 18 μF

Question 5

FIGURE 24-6  
-Three capacitors are connected as shown in Fig. 24-6. What is the equivalent capacitance between points A and B?

Accepted Answer

A) 1.7 μF 
B) 4.0 μC 
C) 7.1 μF 
D) 12 μF 
E) 8.0 μF 
A) 1.7 μF 
B) 4.0 μC 
C) 7.1 μF 
D) 12 μF 
E) 8.0 μF

Question 6

A parallel-plate capacitor of capacitance C is connected to a battery of voltage V until it is fully charged. The energy density in the capacitor is then equal to u. If the same capacitor is then connected to a battery of voltage 2V its energy density becomes equal to

Accepted Answer

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

Question 7

If the voltage between the plates of a parallel-plate capacitor is doubled, the charge on the capacitor

Accepted Answer

A) is tripled. 
B) is doubled. 
C) is halved. 
D) quadruples. 
E) remains the same. 
A) is tripled. 
B) is doubled. 
C) is halved. 
D) quadruples. 
E) remains the same.

Question 8

A parallel-plate capacitor has a plate separation of 5.0 cm. If the potential difference between the plates is 2000 V, with the top plate at the higher potential, what is the electric field between the plates?

Accepted Answer

A) 100 N/C upward 
B) 100 N/C downward 
C) 4000 N/C downward 
D) 40000 N/C upward 
E) 40000 N/C downward 
A) 100 N/C upward 
B) 100 N/C downward 
C) 4000 N/C downward 
D) 40000 N/C upward 
E) 40000 N/C downward

Question 9

A 15-μF capacitor is connected to a 50-V battery and becomes fully charged. The battery is removed and a slab of dielectric that completely fills the space between the plates is inserted. The dielectric has a dielectric constant of 5.0.
(a) What is the capacitance of the capacitor after the slab is inserted?
(b) What is the voltage across the capacitor's plates after the slab is inserted?

Accepted Answer

The answer of A 15-μF capacitor is connected to a...

Question 10

A 2.0 μF and a 4.0 μF capacitor are connected in series across an 8.0-V DC source. What is the charge on the 2.0 μF capacitor?

Accepted Answer

A) 2.0 μC 
B) 4.0 μC 
C) 12 μC 
D) 11 μC 
E) 25 μC 
A) 2.0 μC 
B) 4.0 μC 
C) 12 μC 
D) 11 μC 
E) 25 μC

Question 11

When a parallel-plate capacitor of capacitance C is connected to a battery of voltage V, the energy density in the capacitor is u. If the voltage of battery is doubled, which of the following changes would keep the energy density equal to its previous value u?

Accepted Answer

A) doubling the spacing of the plates 
B) doubling the size of the plates 
C) reducing the size of the plates by half 
D) reducing the spacing of the plates 
E) The energy density is unaffected by a change in the voltage. 
A) doubling the spacing of the plates 
B) doubling the size of the plates 
C) reducing the size of the plates by half 
D) reducing the spacing of the plates 
E) The energy density is unaffected by a change in the voltage.

Question 12

A capacitor consists of a set of two parallel plates of area A separated by a distance d. The capacitor plates cary charges +Q and -Q. If the separation between the plates is doubled, the potential difference between the plates will

Accepted Answer

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

Question 13

Capacitors in series share the same charge and capacitors in parallel share the same voltage.

Accepted Answer

A) True 
 B)False

Question 14

A 4.0 μF and a 6.0 μF capacitor are connected in series across an 8.0-V DC source. What is the charge on the 6.0 μF capacitor?

Accepted Answer

A) 2.0 μC 
B) 4.0 μC 
C) 12 μC 
D) 25 μC 
E) 19 μC 
A) 2.0 μC 
B) 4.0 μC 
C) 12 μC 
D) 25 μC 
E) 19 μC

Question 15

A 1 mF, a 2 mF, and a 3 mF capacitor are connected in series, the combination being connected across a 9 volt battery.
(a) Which capacitor has the greates charge?
(b) Which capacitor has the greatest voltage?

Accepted Answer

(a) They a

Question 16

Three identical capacitors are connected in series to a battery. If a total charge of Q flows from the battery, how much charge does each capacitor carry?

Accepted Answer

A) 9Q 
B) 3Q 
C) Q 
D) Q/3 
E) Q/9 
A) 9Q 
B) 3Q 
C) Q 
D) Q/3 
E) Q/9

Question 17

The plates of a parallel-plate capacitor are maintained with constant voltage by a battery as they are pulled apart. What happens to the strength of the electric field during this process?

Accepted Answer

A) It increases. 
B) It decreases. 
C) It remains constant. 
D) cannot be determined from the information given 
A) It increases. 
B) It decreases. 
C) It remains constant. 
D) cannot be determined from the information given

Question 18

A parallel-plate capacitor stores a charge Q = 4.00 nC when connected to a battery of voltage V = 10.0 V. The energy density is then u = 3.62 × 10-4 J/m3. What is the surface area of the plates?

Accepted Answer

A) 0.0250 m2 
B) 0.0500 m2 
C) 0.0923 m2 
D) 0.0387 m2 
E) 0.0103 m2 
A) 0.0250 m2 
B) 0.0500 m2 
C) 0.0923 m2 
D) 0.0387 m2 
E) 0.0103 m2

Question 19

FIGURE 24-3  
-Three capacitors C1, C2, and C3 are connected to a battery as shown in Fig. 24-3. The three capacitors have equal capacitances. Which capacitor stores the most potential energy?

Accepted Answer

A) C3 
B) C2 
C) C1 
D) C2 or C3. They store the same amount of energy 
E) All three capacitors store the same amount of energy. 
A) C3 
B) C2 
C) C1 
D) C2 or C3. They store the same amount of energy 
E) All three capacitors store the same amount of energy.

Question 20

When two or more capacitors are connected in parallel to a battery,

Accepted Answer

A) the voltage across each capacitor is the same. 
B) each capacitor carries the same amount of charge. 
C) the equivalent capacitance of the combination is less than the capacitance of any one of the capacitors. 
D) all of the given answers 
E) none of the given answers 
A) the voltage across each capacitor is the same. 
B) each capacitor carries the same amount of charge. 
C) the equivalent capacitance of the combination is less than the capacitance of any one of the capacitors. 
D) all of the given answers 
E) none of the given answers

Exam 24: Capacitance, Dielectrics, Electric Energy Storage

When two or more capacitors are connected in series to a battery,

A 5.0 μF and a 7.0 μF capacitor are connected in series across an 8.0-V DC source. What is the voltage across the 5.0 μF capacitor?

Three identical capacitors are connected in parallel to a battery. If a total charge of Q flows from the battery, how much charge does each capacitor carry?

FIGURE 24-10 -Fig. 24-10 shows three capacitors connected to a battery of voltage V = 6 V. The charges on the capacitors are known to be Q = 24 μC for C1 and C2, and Q3 = 96 μC for C3. What are the values of the capacitances C1, C2, and C3?

FIGURE 24-6 -Three capacitors are connected as shown in Fig. 24-6. What is the equivalent capacitance between points A and B?

A parallel-plate capacitor of capacitance C is connected to a battery of voltage V until it is fully charged. The energy density in the capacitor is then equal to u. If the same capacitor is then connected to a battery of voltage 2V its energy density becomes equal to

If the voltage between the plates of a parallel-plate capacitor is doubled, the charge on the capacitor

A parallel-plate capacitor has a plate separation of 5.0 cm. If the potential difference between the plates is 2000 V, with the top plate at the higher potential, what is the electric field between the plates?

A 2.0 μF and a 4.0 μF capacitor are connected in series across an 8.0-V DC source. What is the charge on the 2.0 μF capacitor?

When a parallel-plate capacitor of capacitance C is connected to a battery of voltage V, the energy density in the capacitor is u. If the voltage of battery is doubled, which of the following changes would keep the energy density equal to its previous value u?

A capacitor consists of a set of two parallel plates of area A separated by a distance d. The capacitor plates cary charges +Q and -Q. If the separation between the plates is doubled, the potential difference between the plates will

Capacitors in series share the same charge and capacitors in parallel share the same voltage.

A 4.0 μF and a 6.0 μF capacitor are connected in series across an 8.0-V DC source. What is the charge on the 6.0 μF capacitor?

A 1 mF, a 2 mF, and a 3 mF capacitor are connected in series, the combination being connected across a 9 volt battery. (a) Which capacitor has the greates charge? (b) Which capacitor has the greatest voltage?

Three identical capacitors are connected in series to a battery. If a total charge of Q flows from the battery, how much charge does each capacitor carry?

The plates of a parallel-plate capacitor are maintained with constant voltage by a battery as they are pulled apart. What happens to the strength of the electric field during this process?

A parallel-plate capacitor stores a charge Q = 4.00 nC when connected to a battery of voltage V = 10.0 V. The energy density is then u = 3.62 × 10-4 J/m3. What is the surface area of the plates?

FIGURE 24-3 -Three capacitors C1, C2, and C3 are connected to a battery as shown in Fig. 24-3. The three capacitors have equal capacitances. Which capacitor stores the most potential energy?

When two or more capacitors are connected in parallel to a battery,

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FIGURE 24-10 -Fig. 24-10 shows three capacitors connected to a battery of voltage V = 6 V. The charges on the capacitors are known to be Q = 24 μC for C₁ and C₂, and Q₃ = 96 μC for C₃. What are the values of the capacitances C₁, C₂, and C₃?

A parallel-plate capacitor stores a charge Q = 4.00 nC when connected to a battery of voltage V = 10.0 V. The energy density is then u = 3.62 × 10^-4 J/m³. What is the surface area of the plates?

FIGURE 24-3 -Three capacitors C₁, C₂, and C₃ are connected to a battery as shown in Fig. 24-3. The three capacitors have equal capacitances. Which capacitor stores the most potential energy?