Question 1

The capacitance of a parallel-plate capacitor with plate area A and plate separation d is given by:

Accepted Answer

A) "$\varepsilon$S1U1B10S1U1B0d/A" 
B) "$\varepsilon$S1U1B10S1U1B0d/2A" 
C) "$\varepsilon$S1U1B10S1U1B0A/d" 
D) "$\varepsilon$S1U1B10S1U1B0A/2d" 
E) "$\varepsilon$d/$\varepsilon$S1U1B10S1U1B0" 
A) "$\varepsilon$S1U1B10S1U1B0d/A" 
B) "$\varepsilon$S1U1B10S1U1B0d/2A" 
C) "$\varepsilon$S1U1B10S1U1B0A/d" 
D) "$\varepsilon$S1U1B10S1U1B0A/2d" 
E) "$\varepsilon$d/$\varepsilon$S1U1B10S1U1B0"

Question 2

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 3

The capacitance of a cylindrical capacitor can be increased by:

Accepted Answer

A) decreasing both the radius of the inner cylinder and the length 
B) increasing both the radius of the inner cylinder and the length 
C) increasing the radius of the outer cylindrical shell and decreasing the length 
D) decreasing the radius of the inner cylinder and increasing the radius of the outer cylindrical shell 
E) only by decreasing the length 
A) decreasing both the radius of the inner cylinder and the length 
B) increasing both the radius of the inner cylinder and the length 
C) increasing the radius of the outer cylindrical shell and decreasing the length 
D) decreasing the radius of the inner cylinder and increasing the radius of the outer cylindrical shell 
E) only by decreasing the length

Question 4

Two parallel-plate capacitors with the same plate area but different capacitance are connected in parallel 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) energy density 
C) electric field between the plates 
D) charge on the positive plate 
E) plate separation 
A) potential difference 
B) energy density 
C) electric field between the plates 
D) charge on the positive plate 
E) plate separation

Question 5

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:

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 6

Capacitors C1 and C2 are connected in parallel 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 7

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 8

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 9

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 10

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 $\mu$F 
B) 10 $\mu$F 
C) 50 $\mu$F 
D) 100 $\mu$F 
E) none of these 
A) 5 $\mu$F 
B) 10 $\mu$F 
C) 50 $\mu$F 
D) 100 $\mu$F 
E) none of these

Question 11

The capacitance of a single isolated spherical conductor with radius R is proportional to:

Accepted Answer

A) R 
B) R2 
C) 1/R 
D) 1/R2 
E) none of these 
A) R 
B) R2 
C) 1/R 
D) 1/R2 
E) none of these

Question 12

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 C 
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 C

Question 13

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 14

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 15

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) infinite 
A) between 0 and 1 
B) 0 
C) 1 
D) between 1 and infinity 
E) infinite

Question 16

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

Question 17

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 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 18

Two parallel-plate capacitors with the same plate separation but different capacitance are connected in parallel 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) energy density 
C) electric field between the plates 
D) charge on the positive plate 
E) dielectric constant 
A) potential difference 
B) energy density 
C) electric field between the plates 
D) charge on the positive plate 
E) dielectric constant

Question 19

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 20

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 J 
A) 16 J 
B) 8 J 
C) 4 J 
D) 2 J 
E) 1 J

Exam 25: Capacitance

The capacitance of a parallel-plate capacitor with plate area A and plate separation d is given by:

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

The capacitance of a cylindrical capacitor can be increased by:

Two parallel-plate capacitors with the same plate area but different capacitance are connected in parallel to a battery.Both capacitors are filled with air.The quantity that is the same for both capacitors when they are fully charged is:

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:

Capacitors C1 and C2 are connected in parallel 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:

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

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:

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

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

The capacitance of a single isolated spherical conductor with radius R is proportional to:

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:

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:

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

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:

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:

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

Two parallel-plate capacitors with the same plate separation but different capacitance are connected in parallel 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:

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 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:

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

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:

Capacitors C₁ and C₂ are connected in parallel 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 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 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:

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:

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: