Question 1

Increasing the voltage across the two plates of a capacitor will produce what effect on the capacitor?

Accepted Answer

A) increase charge 
B) decrease charge 
C) increase capacitance 
D) decrease capacitance 
A) increase charge 
B) decrease charge 
C) increase capacitance 
D) decrease capacitance

Question 2

A 10-V battery moves 7.0 mC of charge through a circuit running from its positive terminal to its negative terminal.How much energy was delivered to the circuit?

Accepted Answer

A) 1.4 mJ 
B) 0.67 J 
C) 0.070 J 
D) 5.7E+2 J 
E) 1.4 J 
A) 1.4 mJ 
B) 0.67 J 
C) 0.070 J 
D) 5.7E+2 J 
E) 1.4 J

Question 3

A 0.30-μF capacitor is connected to a 400-V battery.What potential energy is stored in the capacitor?

Accepted Answer

A) 1.3 × 10−3 J 
B) 6.0 × 10−4 J 
C) 4.8 J 
D) 0.024 J 
E) ​0.048 J 
A) 1.3 × 10−3 J 
B) 6.0 × 10−4 J 
C) 4.8 J 
D) 0.024 J 
E) ​0.048 J

Question 4

If a doubly-ionized oxygen atom (O-2)is accelerated from rest by going through a potential difference of 32 V,what will be the change in its kinetic energy?

Accepted Answer

A) 16 eV 
B) 32 eV 
C) 64 eV 
D) ​51 eV 
E) ​none of the above 
A) 16 eV 
B) 32 eV 
C) 64 eV 
D) ​51 eV 
E) ​none of the above

Question 5

Two capacitors with capacitances of 2.0 and 3.6 μF,respectively,are connected in series.The system is connected to a 40-V battery.What charge accumulates on the 2.0-μF capacitor?

Accepted Answer

A) 220 μC 
B) 31 μC 
C) 2 100 μC 
D) 51 μC 
E) 290​ μC 
A) 220 μC 
B) 31 μC 
C) 2 100 μC 
D) 51 μC 
E) 290​ μC

Question 6

A parallel-plate capacitor has dimensions 4.3 cm × 4.6 cm.The plates are separated by a 1.0-mm thickness of paper (dielectric constant κ = 3.7).What is the charge that can be stored on this capacitor,when connected to a 1.2-V battery? (ε0 = 8.85 × 10−12 C2/N⋅m2)

Accepted Answer

A) 2.0 × 10−12 C 
B) 3.9 × 10−12 C 
C) 3.9 × 10−11 C 
D) 7.8 × 10−11 C 
E) ​6.8 × 10−11 C 
A) 2.0 × 10−12 C 
B) 3.9 × 10−12 C 
C) 3.9 × 10−11 C 
D) 7.8 × 10−11 C 
E) ​6.8 × 10−11 C

Question 7

The quantity of electrical potential,the volt,is dimensionally equivalent to:

Accepted Answer

A) force/charge. 
B) force × charge. 
C) electric field × distance. 
D) electric field/distance. 
A) force/charge. 
B) force × charge. 
C) electric field × distance. 
D) electric field/distance.

Question 8

Capacitor #1 has parallel plates of length L and width W,plate separation d,and is filled with dielectric with constant κ.Capacitor #2 has parallel plates of length 2L and width 2W,plate separation 2d,and is filled with dielectric with constant 2κ.If a voltage V is applied to capacitor #1 and a voltage 2V is applied to capacitor #2,which capacitor stores more energy and by what factor?

Accepted Answer

A) Capacitor #2 by a factor of 8 
B) Capacitor #2 by a factor of 16 
C) Capacitor #1 by a factor of 4 
D) Both capacitors store the same energy. 
A) Capacitor #2 by a factor of 8 
B) Capacitor #2 by a factor of 16 
C) Capacitor #1 by a factor of 4 
D) Both capacitors store the same energy.

Question 9

Two equal positive charges are separated by d. Then one of the charges is replaced by a negative charge of the same magnitudeTake the potential at infinity to be zero.In which situation is the potential higher midway between the charges;is this value of potential zero?

Accepted Answer

A) the first situation;yes 
B) the first situation;no 
C) the second situation;yes 
D) the second situation;no 
A) the first situation;yes 
B) the first situation;no 
C) the second situation;yes 
D) the second situation;no

Question 10

If three 2.4-µF capacitors are connected in series,what is the combined capacitance?

Accepted Answer

A) 8.0E-7 F 
B) 1.4E-5 F 
C) 7.2E-8 F 
D) 2.4E-6 F 
E) 4.6E-6​ F 
A) 8.0E-7 F 
B) 1.4E-5 F 
C) 7.2E-8 F 
D) 2.4E-6 F 
E) 4.6E-6​ F

Question 11

A parallel-plate capacitor has a capacitance of 25 µF.What potential difference across the plates is required to store 7.2 × 10−4 C on this capacitor?

Accepted Answer

A) 2.9E+1 V 
B) 3.6E+1 V 
C) 4.5E+9 V 
D) 2.9E-1 V 
E) 4.5E+5 V 
A) 2.9E+1 V 
B) 3.6E+1 V 
C) 4.5E+9 V 
D) 2.9E-1 V 
E) 4.5E+5 V

Question 12

What is the equivalent capacitance of the combination shown?

Accepted Answer

A) 29 µF 
B) 10 µF 
C) 40 µF 
D) 25 µF 
A) 29 µF 
B) 10 µF 
C) 40 µF 
D) 25 µF

Question 13

At which location will the electric field between the two parallel plates of a charged capacitor be the strongest in magnitude?

Accepted Answer

A) near the positive plate 
B) near the negative plate 
C) midway between the two plates at their ends 
D) midway between the two plates nearest their center 
A) near the positive plate 
B) near the negative plate 
C) midway between the two plates at their ends 
D) midway between the two plates nearest their center

Question 14

An electron with velocity v = 2.0 × 106 m/s is sent between the plates of a capacitor where the electric field is E = 200 V/m.If the distance the electron travels through the field is 1.0 cm,how far is it deviated (Y)in its path when it emerges from the electric field? (me = 9.1 × 10−31 kg,e = 1.6 × 10−19 C)

Accepted Answer

A) 0.84 mm 
B) 0.44 mm 
C) 0.44 cm 
D) 0.84 cm 
E) 1.4 mm 
A) 0.84 mm 
B) 0.44 mm 
C) 0.44 cm 
D) 0.84 cm 
E) 1.4 mm

Question 15

A capacitor is made by taking two sheets of aluminum foil,each 0.022 mm thick and placing between them a sheet of paper which comes from a ream of 580 sheets,the ream being 5.4 cm thick with sheets measuring 216 mm by 279 mm (the usual 8 1/2 by 11).What is the capacitance of the capacitor made this way if the dielectric constant of the paper is 3.7? (ε0 = 8.85 × 10−12 C2/N × m2)

Accepted Answer

A) 33 nF 
B) 45 nF 
C) 21 nF 
D) 1.4 nF 
E) ​5.7 nF 
A) 33 nF 
B) 45 nF 
C) 21 nF 
D) 1.4 nF 
E) ​5.7 nF

Question 16

The unit of electrical potential,the volt,is dimensionally equivalent to:

Accepted Answer

A) J⋅C. 
B) J/C. 
C) C/J. 
D) F⋅C. 
A) J⋅C. 
B) J/C. 
C) C/J. 
D) F⋅C.

Question 17

When charges qa,qb,and qc are placed respectively at the corners a,b,and c of a right triangle,the potential at the midpoint of the hypotenuse is 20 V.When the charge qa is removed,the potential at the midpoint becomes 15 V.When,instead,the charge qb is removed (qa and qc both in place),the potential at the midpoint becomes 12 V.What is the potential at the midpoint if only the charge qc is removed from the array of charges?

Accepted Answer

A) 8.0 V 
B) 5.0 V 
C) 7.0 V 
D) 13 V 
A) 8.0 V 
B) 5.0 V 
C) 7.0 V 
D) 13 V

Question 18

If the distance between two negative point charges is increased by a factor of three,the resultant potential energy is what factor times the initial potential energy?

Accepted Answer

A) 3 
B) 9 
C) 1/3 
D) 1/9 
A) 3 
B) 9 
C) 1/3 
D) 1/9

Question 19

A solid conducting sphere of 10-cm radius has a net charge of 18 nC.If the potential at infinity is taken as zero,what is the potential at the center of the sphere?

Accepted Answer

A) 2.1 μV 
B) 16 μV 
C) 1.6 × 103 V 
D) >1.6 × 104 V 
E) ​13 μV 
A) 2.1 μV 
B) 16 μV 
C) 1.6 × 103 V 
D) >1.6 × 104 V 
E) ​13 μV

Question 20

If C = 36 µF,determine the equivalent capacitance for the combination shown.

Accepted Answer

A) 36 µF 
B) 28 µF 
C) 14 µF 
D) 24 µF 
E) 33​ µF 
A) 36 µF 
B) 28 µF 
C) 14 µF 
D) 24 µF 
E) 33​ µF

Exam 16: Electrical Energy and Capacitance

Increasing the voltage across the two plates of a capacitor will produce what effect on the capacitor?

A 10-V battery moves 7.0 mC of charge through a circuit running from its positive terminal to its negative terminal.How much energy was delivered to the circuit?

A 0.30-μF capacitor is connected to a 400-V battery.What potential energy is stored in the capacitor?

If a doubly-ionized oxygen atom (O-2)is accelerated from rest by going through a potential difference of 32 V,what will be the change in its kinetic energy?

Two capacitors with capacitances of 2.0 and 3.6 μF,respectively,are connected in series.The system is connected to a 40-V battery.What charge accumulates on the 2.0-μF capacitor?

A parallel-plate capacitor has dimensions 4.3 cm × 4.6 cm.The plates are separated by a 1.0-mm thickness of paper (dielectric constant κ = 3.7).What is the charge that can be stored on this capacitor,when connected to a 1.2-V battery? (ε0 = 8.85 × 10−12 C2/N⋅m2)

The quantity of electrical potential,the volt,is dimensionally equivalent to:

Two equal positive charges are separated by d. Then one of the charges is replaced by a negative charge of the same magnitudeTake the potential at infinity to be zero.In which situation is the potential higher midway between the charges;is this value of potential zero?

If three 2.4-µF capacitors are connected in series,what is the combined capacitance?

A parallel-plate capacitor has a capacitance of 25 µF.What potential difference across the plates is required to store 7.2 × 10−4 C on this capacitor?

What is the equivalent capacitance of the combination shown?

At which location will the electric field between the two parallel plates of a charged capacitor be the strongest in magnitude?

The unit of electrical potential,the volt,is dimensionally equivalent to:

If the distance between two negative point charges is increased by a factor of three,the resultant potential energy is what factor times the initial potential energy?

A solid conducting sphere of 10-cm radius has a net charge of 18 nC.If the potential at infinity is taken as zero,what is the potential at the center of the sphere?

If C = 36 µF,determine the equivalent capacitance for the combination shown.

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Filters

If a doubly-ionized oxygen atom (O^-2)is accelerated from rest by going through a potential difference of 32 V,what will be the change in its kinetic energy?

A parallel-plate capacitor has dimensions 4.3 cm × 4.6 cm.The plates are separated by a 1.0-mm thickness of paper (dielectric constant κ = 3.7).What is the charge that can be stored on this capacitor,when connected to a 1.2-V battery? (ε₀ = 8.85 × 10−¹² C²/N⋅m²)

A parallel-plate capacitor has a capacitance of 25 µF.What potential difference across the plates is required to store 7.2 × 10−⁴ C on this capacitor?