Question 1

The quantity (1/2)$\varepsilon$S1U1B10S1U1B0ES1U1P12S1S1P0 has the dimensions of:

Accepted Answer

A) energy/farad 
B) energy/coulomb 
C) energy 
D) energy/volume 
E) energy/volt 
A) energy/farad 
B) energy/coulomb 
C) energy 
D) energy/volume 
E) energy/volt

Question 2

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 3

Two identical capacitors are connected in series and two, each identical to the first, are connected in parallel.The equivalent capacitance of the series connection is ________ the equivalent capacitance of parallel connection.

Accepted Answer

A) twice 
B) four times 
C) half 
D) one fourth 
E) the same as 
A) twice 
B) four times 
C) half 
D) one fourth 
E) the same as

Question 4

If both the plate area and the plate separation of a parallel-plate capacitor are doubled, the capacitance is:

Accepted Answer

A) doubled 
B) halved 
C) unchanged 
D) one-fourth the original 
E) quadrupled 
A) doubled 
B) halved 
C) unchanged 
D) one-fourth the original 
E) quadrupled

Question 5

Two conducting spheres have radii of R1 and R2 with R1 greater than R2.If they are far apart the capacitance is proportional to:

Accepted Answer

A) R1R2/(R1 - R2) 
B)    
C) (R1 - R2)/R1R2 
D)    
E) none of these 
A) R1R2/(R1 - R2) 
B)    
C) (R1 - R2)/R1R2 
D)    
E) none of these

Question 6

A dielectric slab is slowly inserted between the plates of a parallel plate capacitor while the capacitor is connected to a battery.As it is being inserted:

Accepted Answer

A) the capacitance, the potential difference between the plates, and the charge on the positive plate all increase 
B) the capacitance, the potential difference between the plates, the charge on the positive plate all decrease 
C) the potential difference between the plates increases, the charge on the positive plate decreases, and the capacitance remains the same 
D) the capacitance and the charge on the positive plate decrease but the potential difference between the plates remains the same 
E) the capacitance and the charge on the plate increase but the potential difference between the plates remains the same 
A) the capacitance, the potential difference between the plates, and the charge on the positive plate all increase 
B) the capacitance, the potential difference between the plates, the charge on the positive plate all decrease 
C) the potential difference between the plates increases, the charge on the positive plate decreases, and the capacitance remains the same 
D) the capacitance and the charge on the positive plate decrease but the potential difference between the plates remains the same 
E) the capacitance and the charge on the plate increase but the potential difference between the plates remains the same

Question 7

The units of capacitance are equivalent to:

Accepted Answer

A) J/C 
B) V/C 
C) J2/C 
D) C/J 
E) C2/J 
A) J/C 
B) V/C 
C) J2/C 
D) C/J 
E) C2/J

Question 8

The capacitance of a parallel-plate capacitor is:

Accepted Answer

A) proportional to the plate area 
B) proportional to the charge stored 
C) independent of any material inserted between the plates 
D) proportional to the potential difference of the plates 
E) proportional to the plate separation 
A) proportional to the plate area 
B) proportional to the charge stored 
C) independent of any material inserted between the plates 
D) proportional to the potential difference of the plates 
E) proportional to the plate separation

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

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 11

The capacitance of a parallel-plate capacitor can be increased by:

Accepted Answer

A) increasing the charge 
B) decreasing the charge 
C) increasing the plate separation 
D) decreasing the plate separation 
E) decreasing the plate area 
A) increasing the charge 
B) decreasing the charge 
C) increasing the plate separation 
D) decreasing the plate separation 
E) decreasing the plate area

Question 12

The capacitance of a spherical capacitor with inner radius a and outer radius b is proportional to:

Accepted Answer

A) a/b 
B) b - a 
C) b2 - a2 
D) ab/(b - a) 
E) ab/(b2 - a2) 
A) a/b 
B) b - a 
C) b2 - a2 
D) ab/(b - a) 
E) ab/(b2 - a2)

Question 13

If the plate area of an isolated charged parallel-plate capacitor is doubled:

Accepted Answer

A) the electric field is doubled 
B) the potential difference is halved 
C) the charge on each plate is halved 
D) the surface charge density on each plate is doubled 
E) none of the above 
A) the electric field is doubled 
B) the potential difference is halved 
C) the charge on each plate is halved 
D) the surface charge density on each plate is doubled 
E) none of the above

Question 14

Two identical capacitors, each with capacitance C, are connected in parallel and the combination is connected in series to a third identical capacitor.The equivalent capacitance of this arrangement is:

Accepted Answer

A) 2C/3 
B) C 
C) 3C/2 
D) 2C 
E) 3C 
A) 2C/3 
B) C 
C) 3C/2 
D) 2C 
E) 3C

Question 15

One of the materials listed below is to be placed between two identical metal sheets, with no air gap, to form a parallel-plate capacitor.Which produces the greatest capacitance?

Accepted Answer

A) material of thickness 0.1 mm and dielectric constant 2 
B) material of thickness 0.2 mm and dielectric constant 3 
C) material of thickness 0.3 mm and dielectric constant 2 
D) material of thickness 0.4 mm and dielectric constant 8 
E) material of thickness 0.5 mm and dielectric constant 11 
A) material of thickness 0.1 mm and dielectric constant 2 
B) material of thickness 0.2 mm and dielectric constant 3 
C) material of thickness 0.3 mm and dielectric constant 2 
D) material of thickness 0.4 mm and dielectric constant 8 
E) material of thickness 0.5 mm and dielectric constant 11

Question 16

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 17

Capacitors C1 and C2 are connected in series and a potential difference is applied to the combination.If the capacitor that is equivalent to the combination has the same potential difference, then the charge on the equivalent capacitor is the same as:

Accepted Answer

A) the charge on C1 
B) the sum of the charges on C1 and C2 
C) the difference of the charges on C1 and C2 
D) the product of the charges on C1 and C2 
E) none of the above 
A) the charge on C1 
B) the sum of the charges on C1 and C2 
C) the difference of the charges on C1 and C2 
D) the product of the charges on C1 and C2 
E) none of the above

Question 18

A certain capacitor has a capacitance of 5.0 $\mu$F.After it is charged to 5 $\mu$C and isolated, the plates are brought closer together so its capacitance becomes 10 $\mu$F.The work done by the agent is about:

Accepted Answer

A) "0 J" 
B) "1.25 * 10-6 J" 
C) "-1.25 * 10-6 J" 
D) "8.3 * 10-7 J" 
E) "-8.3 *10-7 J" 
A) "0 J" 
B) "1.25 * 10-6 J" 
C) "-1.25 * 10-6 J" 
D) "8.3 * 10-7 J" 
E) "-8.3 *10-7 J"

Question 19

Capacitor C1 and C2 are connected in parallel.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 20

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

Exam 25: Capacitance

The quantity (1/2) ε\varepsilonε 0E2 has the dimensions of:

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

Two identical capacitors are connected in series and two, each identical to the first, are connected in parallel.The equivalent capacitance of the series connection is ________ the equivalent capacitance of parallel connection.

If both the plate area and the plate separation of a parallel-plate capacitor are doubled, the capacitance is:

Two conducting spheres have radii of R1 and R2 with R1 greater than R2.If they are far apart the capacitance is proportional to:

A dielectric slab is slowly inserted between the plates of a parallel plate capacitor while the capacitor is connected to a battery.As it is being inserted:

The units of capacitance are equivalent to:

The capacitance of a parallel-plate capacitor is:

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?

Pulling the plates of an isolated charged capacitor apart:

The capacitance of a parallel-plate capacitor can be increased by:

The capacitance of a spherical capacitor with inner radius a and outer radius b is proportional to:

If the plate area of an isolated charged parallel-plate capacitor is doubled:

Two identical capacitors, each with capacitance C, are connected in parallel and the combination is connected in series to a third identical capacitor.The equivalent capacitance of this arrangement is:

One of the materials listed below is to be placed between two identical metal sheets, with no air gap, to form a parallel-plate capacitor.Which produces the greatest capacitance?

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

Capacitors C1 and C2 are connected in series and a potential difference is applied to the combination.If the capacitor that is equivalent to the combination has the same potential difference, then the charge on the equivalent capacitor is the same as:

A certain capacitor has a capacitance of 5.0 μ\muμ F.After it is charged to 5 μ\muμ C and isolated, the plates are brought closer together so its capacitance becomes 10 μ\muμ F.The work done by the agent is about:

Capacitor C1 and C2 are connected in parallel.The equivalent capacitance is given by:

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:

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The quantity (1/2) $\varepsilon$ ₀E² has the dimensions of:

Two conducting spheres have radii of R₁ and R₂ with R₁ greater than R₂.If they are far apart the capacitance is proportional to:

Capacitors C₁ and C₂ are connected in series and a potential difference is applied to the combination.If the capacitor that is equivalent to the combination has the same potential difference, then the charge on the equivalent capacitor is the same as:

A certain capacitor has a capacitance of 5.0 $\mu$ F.After it is charged to 5 $\mu$ C and isolated, the plates are brought closer together so its capacitance becomes 10 $\mu$ F.The work done by the agent is about:

Capacitor C₁ and C₂ are connected in parallel.The equivalent capacitance is given by:

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: