Question 1

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 2

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 3

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)  0.10 $\mu$F 
B)  0.50 $\mu$F0.10 $\mu$F 
C)  1.0 $\mu$F 
D)  1.5 $\mu$F 
E)  2.0 $\mu$F 
A)  0.10 $\mu$F 
B)  0.50 $\mu$F0.10 $\mu$F 
C)  1.0 $\mu$F 
D)  1.5 $\mu$F 
E)  2.0 $\mu$F

Question 4

A battery is used to charge a parallel combination of two identical capacitors. If the potential difference across the battery terminals is V and the total charge Q flows through the battery during the charging process then the charge on the positive plate of each capacitor and the potential difference across each capacitor are:

Accepted Answer

A)  Q/2 and V/2, respectively 
B)  Q and V, respectively 
C)  Q/2 and V, respectively 
D)  Q and V/2, respectively 
E)  Q and 2V, respectively 
A)  Q/2 and V/2, respectively 
B)  Q and V, respectively 
C)  Q/2 and V, respectively 
D)  Q and V/2, respectively 
E)  Q and 2V, respectively

Question 5

A parallel-plate capacitor has a plate area of 0.3 m2 and a plate separation of 0.1 mm. If the charge on each plate has a magnitude of 5 *10-6 C then the force exerted by one plate on the other has a magnitude of about:

Accepted Answer

A)  0 
B)  5 N 
C)  9 N 
D)  1 *104 N 
E)  9 *105 N 
A)  0 
B)  5 N 
C)  9 N 
D)  1 *104 N 
E)  9 *105 N

Question 6

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

Question 7

One of the materials listed below is to be placed between two indenticle metal sheets, with no air gap, to form a parallel-plate capacititance. Which produces the greates 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 8

A farad is the same as a:

Accepted Answer

A)  J/V 
B)  V/J 
C)  C/V 
D)  V/C 
E)  N/C 
A)  J/V 
B)  V/J 
C)  C/V 
D)  V/C 
E)  N/C

Question 9

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)  8.9 *10ˉ7C 
B)  1.8* 10ˉ6C 
C)  3.5 * 10ˉ6C 
D)  7.1 *10ˉ6C 
E)  1.4 *10ˉ5C 
A)  8.9 *10ˉ7C 
B)  1.8* 10ˉ6C 
C)  3.5 * 10ˉ6C 
D)  7.1 *10ˉ6C 
E)  1.4 *10ˉ5C

Question 10

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 11

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 12

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 13

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 14

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 15

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)  0.10 
B)  0.20 
C)  10 
D)  0.05 
E)  none of these 
A)  0.10 
B)  0.20 
C)  10 
D)  0.05 
E)  none of these

Question 16

A 2-$\mu$F and a 1-$\mu$F capacitor are connected in parrael 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 17

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 18

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 19

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 20

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

Exam 25: Capacitance

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

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:

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

A parallel-plate capacitor has a plate area of 0.3 m2 and a plate separation of 0.1 mm. If the charge on each plate has a magnitude of 5 *10-6 C then the force exerted by one plate on the other has a magnitude of about:

The capacitance of a cylindrical capacitor can be increased by:

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

A farad is the same as a:

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:

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

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:

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?

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

The units of capacitance are equivalent to:

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.

Pulling the plates of an isolated charged capacitor apart:

The capacitance of a parallel-plate capacitor is:

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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 parallel-plate capacitor has a plate area of 0.3 m² and a plate separation of 0.1 mm. If the charge on each plate has a magnitude of 5 *10^-⁶ C then the force exerted by one plate on the other has a magnitude of about:

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:

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 parallel 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:

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