Question 1

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

Question 2

Capacitors A and B are identical.Capacitor A is charged so it stores 4 J of energy and capacitor B is uncharged.The capacitors are then connected in parallel.The total stored energy in the capacitors is now:

Accepted Answer

A)  16 J
B)  8 J
C)  4 J
D)  2 J
E)  1 JF) All of the above
G) C) and D)

Question 3

A 20-µF capacitor is charged to 200 V.Its stored energy is:

Accepted Answer

A)  4000 J
B)  4 J
C)  0.4 J
D)  0.1 J
E)  0.004 JF) A) and D)
G) None of the above

Question 4

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

Accepted Answer

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

Question 5

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 separationF) A) and E)
G) A) and B)

Question 6

The units of capacitance are equivalent to:

Accepted Answer

A)  J/C
B)  V/C
C)  J2/C
D)  C/J
E)  C2/JF) A) and C)
G) A) and B)

Question 7

An air-filled capacitor is charged, and then a dielectric is inserted.As a result, there is an induced charge on the dielectric.What is the difference between induced charge and free charge?

Accepted Answer

A)  There is no difference.
B)  Induced charge does not result in a net charge on the dielectric.
C)  Induced charge is smaller than free charge.
D)  Free charge creates an electric field, but induced charge does not.
E)  Free charge creates an electric potential, but induced charge does not.F) B) and D)
G) D) and E)

Question 8

A parallel-plate capacitor has a plate area of 0.2 m2 and a plate separation of 0.1 mm.To obtain an electric field of 2.0 *106 V/m between the plates, the magnitude of the charge on each plate should be:

Accepted Answer

A)  3.5 * 10-6 C
B)  7.1 *10-6 C
C)  1.4 * 10-5 C
D)  1.8 * 10-5 C
E)  8.9 * 10-5 CF) C) and E)
G) All of the above

Question 9

Each plate of a capacitor stores a charge of magnitude 1 mC when a 100-V potential difference is applied.The capacitance is:

Accepted Answer

A)  5  μ\muμ F
B)  10  μ\muμ F
C)  50  μ\muμ F
D)  100  μ\muμ F
E)  none of these F) A) and E)
G) None of the above

Question 10

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

Accepted Answer

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

Question 11

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

Question 12

Two capacitors are identical except that one is filled with air and the other with oil.Both capacitors carry the same charge.The ratio of the electric fields Eair/Eoil is:

Accepted Answer

A)  between 0 and 1
B)  0
C)  1
D)  between 1 and infinity
E)  infiniteF) A) and E)
G) B) and E)

Question 13

A charged capacitor stores 10 C at 40 V.Its stored energy is:

Accepted Answer

A)  400 J
B)  200 J
C)  4 J
D)  2.5 J
E)  1.25 JF) A) and D)
G) C) and D)

Question 14

If the plate separation 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 aboveF) A) and D)
G) D) and E)

Question 15

Two parallel-plate capacitors with different plate separation but the same capacitance are connected in series to a battery.Both capacitors are filled with air.The quantity that is NOT the same for both capacitors when they are fully charged is:

Accepted Answer

A)  potential difference
B)  stored energy
C)  electric field between the plates
D)  charge on the positive plate
E)  dielectric constantF) B) and D)
G) B) and E)

Question 16

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 aboveF) B) and E)
G) A) and E)

Question 17

Capacitor C1 is connected alone to a battery and charged until the magnitude of the charge on each plate is 4.0 * 10-8 C.Then it is removed from the battery and connected to two other capacitors C2 and C3, as shown.The charge on the positive plate of C1 is then 1.0 * 10-8 C.The charges on the positive plates of C2 and C3 are: 1 is connected alone to a battery and charged until the magnitude of the charge on each plate is 4.0 * 10-8 C.Then it is removed from the battery and connected to two other capacitors C2 and C3, as shown.The charge on the positive plate of C1 is then 1.0 * 10-8 C.The charges on the positive plates of C2 and C3 are:   A) q2 = 3.0 *0 10 - -8 C and q3 = 3.0 *10 - 8 C B) q2 = 2.0 *10 - 8  C and q3 = 2.0 *10 - 8 C C) q2 = 5.0 *10 - 8  C and q3 = 1.0 *10 - 8 C D) q2 = 3.0 * 10 - 8 C and q3 = 1.0 *10 - 8 C E) q2 = 1.0 * 10 - 8  C and q3 = 3.0 *10 - 8 C" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  q2 = 3.0 *0 10 - -8 C and q3 = 3.0 *10 - 8 C
B)  q2 = 2.0 *10 - 8  C and q3 = 2.0 *10 - 8 C
C)  q2 = 5.0 *10 - 8  C and q3 = 1.0 *10 - 8 C
D)  q2 = 3.0 * 10 - 8 C and q3 = 1.0 *10 - 8 C
E)  q2 = 1.0 * 10 - 8  C and q3 = 3.0 *10 - 8 CF) None of the above
G) B) and E)

Question 18

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

Accepted Answer

A)  R > S > Q = P
B)  P > Q > R = S
C)  R > P = Q > S
D)  R = P > S = Q
E)  R > P > S = Q F) C) and E)
G) A) and D)

Question 19

What is the difference between a polar dielectric and a nonpolar dielectric?

Accepted Answer

A)  A polar dielectric has a permanent electric field.
B)  A nonpolar dielectric never has an internal electric field.
C)  The molecules of a polar dielectric have a permanent electric dipole moment.
D)  A nonpolar dielectric can have an induced electric field in any direction.
E)  A polar dielectric is always aligned with the Earth's electric field.F) A) and D)
G) C) and D)

Exam 25: Capacitance

The units of capacitance are equivalent to:

Correct Answer
verified

Capacitors A and B are identical.Capacitor A is charged so it stores 4 J of energy and capacitor B is uncharged.The capacitors are then connected in parallel.The total stored energy in the capacitors is now:

Correct Answer
verified

Correct Answer
verified

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

Correct Answer
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What is the difference between a polar dielectric and a nonpolar dielectric?

Correct Answer
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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:

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

Correct Answer
verified

The capacitance of a parallel-plate capacitor is:

Correct Answer
verified

A charged capacitor stores 10 C at 40 V.Its stored energy is:

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

Two parallel-plate capacitors with different plate separation but the same capacitance are connected in series to a battery.Both capacitors are filled with air.The quantity that is NOT the same for both capacitors when they are fully charged is:

Correct Answer
verified

Two capacitors are identical except that one is filled with air and the other with oil.Both capacitors carry the same charge.The ratio of the electric fields E_air/E_oil is:

Correct Answer
verified

A parallel-plate capacitor has a plate area of 0.2 m² and a plate separation of 0.1 mm.To obtain an electric field of 2.0 *10⁶ V/m between the plates, the magnitude of the charge on each plate should be:

Correct Answer
verified

An air-filled capacitor is charged, and then a dielectric is inserted.As a result, there is an induced charge on the dielectric.What is the difference between induced charge and free charge?

Correct Answer
verified

Each plate of a capacitor stores a charge of magnitude 1 mC when a 100-V potential difference is applied.The capacitance is:

Correct Answer
verified

A 20-µF capacitor is charged to 200 V.Its stored energy is:

Correct Answer
verified

Exam 25: Capacitance

The units of capacitance are equivalent to:

Correct AnswerverifiedShow Answer

Capacitors A and B are identical.Capacitor A is charged so it stores 4 J of energy and capacitor B is uncharged.The capacitors are then connected in parallel.The total stored energy in the capacitors is now:

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

What is the difference between a polar dielectric and a nonpolar dielectric?

Correct AnswerverifiedShow Answer

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:

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

The capacitance of a parallel-plate capacitor is:

Correct AnswerverifiedShow Answer

A charged capacitor stores 10 C at 40 V.Its stored energy is:

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Two parallel-plate capacitors with different plate separation but the same capacitance are connected in series to a battery.Both capacitors are filled with air.The quantity that is NOT the same for both capacitors when they are fully charged is:

Correct AnswerverifiedShow Answer

Two capacitors are identical except that one is filled with air and the other with oil.Both capacitors carry the same charge.The ratio of the electric fields Eair/Eoil is:

Correct AnswerverifiedShow Answer

A parallel-plate capacitor has a plate area of 0.2 m2 and a plate separation of 0.1 mm.To obtain an electric field of 2.0 *106 V/m between the plates, the magnitude of the charge on each plate should be:

Correct AnswerverifiedShow Answer

An air-filled capacitor is charged, and then a dielectric is inserted.As a result, there is an induced charge on the dielectric.What is the difference between induced charge and free charge?

Correct AnswerverifiedShow Answer

Each plate of a capacitor stores a charge of magnitude 1 mC when a 100-V potential difference is applied.The capacitance is:

Correct AnswerverifiedShow Answer

A 20-µF capacitor is charged to 200 V.Its stored energy is:

Correct AnswerverifiedShow Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

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

Correct Answer
verified

Correct Answer
verified

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:

Correct Answer
verified

Correct Answer
verified

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
verified

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

Correct Answer
verified

Correct Answer
verified

Two capacitors are identical except that one is filled with air and the other with oil.Both capacitors carry the same charge.The ratio of the electric fields E_air/E_oil is:

Correct Answer
verified

A parallel-plate capacitor has a plate area of 0.2 m² and a plate separation of 0.1 mm.To obtain an electric field of 2.0 *10⁶ V/m between the plates, the magnitude of the charge on each plate should be:

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified