Question 1

What is the equivalent capacitance of the combination shown?

Accepted Answer

A) 20 μF 
B) 90 μF 
C) 22 μF 
D) 4.6 μF 
E) 67 μF 
A) 20 μF 
B) 90 μF 
C) 22 μF 
D) 4.6 μF 
E) 67 μF

Question 2

A parallel plate capacitor is connected to a battery and charged to voltage V.Leah says that the charge on the plates will decrease if the distance between the plates is increased while they are still connected to the battery.Gertie says that the charge will remain the same.Which one,if either,is correct,and why?

Accepted Answer

A) Gertie,because the maximum voltage is determined by the battery. 
B) Gertie,because the capacitance of the capacitor does not change. 
C) Leah,because the capacitance decreases when the plate separation is increased. 
D) Leah,because the capacitance increases when the plate separation is increased. 
E) Neither,because the charge increases when the plate separation is increased. 
A) Gertie,because the maximum voltage is determined by the battery. 
B) Gertie,because the capacitance of the capacitor does not change. 
C) Leah,because the capacitance decreases when the plate separation is increased. 
D) Leah,because the capacitance increases when the plate separation is increased. 
E) Neither,because the charge increases when the plate separation is increased.

Question 3

Determine the energy stored in C1 when C1 = 10 μF,C2 = 12 μF,C3 = 15 μF,and V0 = 70 V.

Accepted Answer

A) 6.5 mJ 
B) 5.1 mJ 
C) 3.9 mJ 
D) 8.0 mJ 
E) 9.8 mJ 
A) 6.5 mJ 
B) 5.1 mJ 
C) 3.9 mJ 
D) 8.0 mJ 
E) 9.8 mJ

Question 4

If VA − VB = 50 V,how much energy is stored in the 36-μF capacitor?

Accepted Answer

A) 50 mJ 
B) 28 mJ 
C) 13 mJ 
D) 8.9 mJ 
E) 17 mJ 
A) 50 mJ 
B) 28 mJ 
C) 13 mJ 
D) 8.9 mJ 
E) 17 mJ

Question 5

If VA − VB = 50 V,how much energy is stored in the 54-μF capacitor?

Accepted Answer

A) 50 mJ 
B) 13 mJ 
C) 28 mJ 
D) 8.9 mJ 
E) 17 mJ 
A) 50 mJ 
B) 13 mJ 
C) 28 mJ 
D) 8.9 mJ 
E) 17 mJ

Question 6

A 15-μF capacitor and a 25-μF capacitor are connected in parallel,and charged to a potential difference of 60 V.How much energy is then stored in this capacitor combination?

Accepted Answer

A) 50 mJ 
B) 18 mJ 
C) 32 mJ 
D) 72 mJ 
E) 45 mJ 
A) 50 mJ 
B) 18 mJ 
C) 32 mJ 
D) 72 mJ 
E) 45 mJ

Question 7

What is the total energy stored by C3 when C1 = 50 μF,C2 = 30 μF,C3 = 36 μF,C4 = 12 μF,and V0 = 30 V?

Accepted Answer

A) 6.3 mJ 
B) 25 mJ 
C) 57 mJ 
D) 1.6 mJ 
E) 14 mJ 
A) 6.3 mJ 
B) 25 mJ 
C) 57 mJ 
D) 1.6 mJ 
E) 14 mJ

Question 8

Determine the energy stored in the 60-μF capacitor.

Accepted Answer

A) 2.4 mJ 
B) 3.0 mJ 
C) 3.6 mJ 
D) 4.3 mJ 
E) 6.0 mJ 
A) 2.4 mJ 
B) 3.0 mJ 
C) 3.6 mJ 
D) 4.3 mJ 
E) 6.0 mJ

Question 9

Determine the equivalent capacitance of the combination shown when C = 12 nF.

Accepted Answer

A) 34 nF 
B) 17 nF 
C) 51 nF 
D) 68 nF 
E) 21 nF 
A) 34 nF 
B) 17 nF 
C) 51 nF 
D) 68 nF 
E) 21 nF

Question 10

Is it feasible to construct an air-filled parallel-plate capacitor that has its two plates separated by 0.10 mm and has a capacitance of 1.0 F? Why or why not?

Accepted Answer

No.Each pl

Question 11

A 6.0-μF capacitor charged to 50 V and a 4.0-μF capacitor charged to 34 V are connected to each other,with the two positive plates connected and the two negative plates connected.What is the total energy stored in the 6.0-μF capacitor at equilibrium?

Accepted Answer

A) 6.1 mJ 
B) 5.7 mJ 
C) 6.6 mJ 
D) 7.0 mJ 
E) 3.8 mJ 
A) 6.1 mJ 
B) 5.7 mJ 
C) 6.6 mJ 
D) 7.0 mJ 
E) 3.8 mJ

Question 12

A 200-volt battery is connected to a 0.50-microfarad parallel-plate,air-filled capacitor.Now the battery is disconnected,with care taken not to discharge the plates.Some Pyrex glass is then inserted between the plates,completely filling up the space.What is the final potential difference between the plates? (The dielectric constant for Pyrex is κ = 5.6. )

Accepted Answer

The answer of A 200-volt battery is connected to a...

Question 13

A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them.When it is connected to a battery of voltage V0,it has charge of magnitude Q0 on its plates.It is then disconnected from the battery and the space between the plates is filled with a material of dielectric constant 3.After the dielectric is added,the magnitudes of the capacitance and the potential difference between the plates are

Accepted Answer

A)    C0,   V0. 
B) C0,   V0. 
C) C0,V0. 
D) 3C0,   V0. 
E) 3C0,3V0. 
A)    C0,   V0. 
B) C0,   V0. 
C) C0,V0. 
D) 3C0,   V0. 
E) 3C0,3V0.

Question 14

The equivalent capacitance of the circuit shown below is

Accepted Answer

A) 0.50 C. 
B) 1.0 C. 
C) 1.5 C. 
D) 2.0 C. 
E) 2.5 C. 
A) 0.50 C. 
B) 1.0 C. 
C) 1.5 C. 
D) 2.0 C. 
E) 2.5 C.

Question 15

A parallel plate capacitor is charged to voltage V and then disconnected from the battery.Leopold says that the voltage will decrease if the plates are pulled apart.Gerhardt says that the voltage will remain the same.Which one,if either,is correct,and why?

Accepted Answer

A) Gerhardt,because the maximum voltage is determined by the battery. 
B) Gerhardt,because the charge per unit area on the plates does not change. 
C) Leopold,because charge is transferred from one plate to the other when the plates are separated. 
D) Leopold,because the force each plate exerts on the other decreases when the plates are pulled apart. 
E) Neither,because the voltage increases when the plates are pulled apart. 
A) Gerhardt,because the maximum voltage is determined by the battery. 
B) Gerhardt,because the charge per unit area on the plates does not change. 
C) Leopold,because charge is transferred from one plate to the other when the plates are separated. 
D) Leopold,because the force each plate exerts on the other decreases when the plates are pulled apart. 
E) Neither,because the voltage increases when the plates are pulled apart.

Question 16

A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them.When it is connected to a battery of voltage V0,it has charge of magnitude Q0 on its plates.The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery.After the plates are 2d apart,the magnitude of the charge on the plates and the potential difference between them are

Accepted Answer

A)    Q0,   V0 
B)    Q0,V0 
C) Q0,V0 
D) 2Q0,V0 
E) 2Q0,2V0 
A)    Q0,   V0 
B)    Q0,V0 
C) Q0,V0 
D) 2Q0,V0 
E) 2Q0,2V0

Question 17

A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them.When it is connected to a battery of voltage V0,it has charge of magnitude Q0 on its plates.While it is connected to the battery the space between the plates is filled with a material of dielectric constant 3.After the dielectric is added,the magnitude of the charge on the plates and the potential difference between them are

Accepted Answer

A)    Q0,   V0 
B) Q0,   V0 
C) Q0,V0 
D) 3Q0,V0 
E) 3Q0,3V0 
A)    Q0,   V0 
B) Q0,   V0 
C) Q0,V0 
D) 3Q0,V0 
E) 3Q0,3V0

Question 18

Which of the following materials has the highest dielectric constant?

Accepted Answer

A) air 
B) Mylar 
C) paper 
D) Pyrex glass 
E) water 
A) air 
B) Mylar 
C) paper 
D) Pyrex glass 
E) water

Question 19

Two spheres are made of conducting material.Sphere #2 has twice the radius of Sphere #1.What is the ratio of the capacitance of Sphere #2 to the capacitance of sphere #1?

Accepted Answer

A) 1,since all conducting spheres have the same capacitance. 
B) 2 
C) 4 
D) 8 
E) A single sphere has no capacitance since a second concentric spherical shell is necessary to make a spherical capacitor.Thus,none of the answers above is correct. 
A) 1,since all conducting spheres have the same capacitance. 
B) 2 
C) 4 
D) 8 
E) A single sphere has no capacitance since a second concentric spherical shell is necessary to make a spherical capacitor.Thus,none of the answers above is correct.

Question 20

Determine the energy stored in the 40-μF capacitor.

Accepted Answer

A) 2.4 mJ 
B) 1.6 mJ 
C) 2.0 mJ 
D) 2.9 mJ 
E) 4.0 mJ 
A) 2.4 mJ 
B) 1.6 mJ 
C) 2.0 mJ 
D) 2.9 mJ 
E) 4.0 mJ

Exam 26: Capacitance and Dielectrics

What is the equivalent capacitance of the combination shown?

Determine the energy stored in C1 when C1 = 10 μF,C2 = 12 μF,C3 = 15 μF,and V0 = 70 V.

If VA − VB = 50 V,how much energy is stored in the 36-μF capacitor?

If VA − VB = 50 V,how much energy is stored in the 54-μF capacitor?

A 15-μF capacitor and a 25-μF capacitor are connected in parallel,and charged to a potential difference of 60 V.How much energy is then stored in this capacitor combination?

What is the total energy stored by C3 when C1 = 50 μF,C2 = 30 μF,C3 = 36 μF,C4 = 12 μF,and V0 = 30 V?

Determine the energy stored in the 60-μF capacitor.

Determine the equivalent capacitance of the combination shown when C = 12 nF.

Is it feasible to construct an air-filled parallel-plate capacitor that has its two plates separated by 0.10 mm and has a capacitance of 1.0 F? Why or why not?

A 6.0-μF capacitor charged to 50 V and a 4.0-μF capacitor charged to 34 V are connected to each other,with the two positive plates connected and the two negative plates connected.What is the total energy stored in the 6.0-μF capacitor at equilibrium?

The equivalent capacitance of the circuit shown below is

A parallel plate capacitor is charged to voltage V and then disconnected from the battery.Leopold says that the voltage will decrease if the plates are pulled apart.Gerhardt says that the voltage will remain the same.Which one,if either,is correct,and why?

Which of the following materials has the highest dielectric constant?

Two spheres are made of conducting material.Sphere #2 has twice the radius of Sphere #1.What is the ratio of the capacitance of Sphere #2 to the capacitance of sphere #1?

Determine the energy stored in the 40-μF capacitor.

Physics and Measurement

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The Laws of Motion

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Filters

Determine the energy stored in C₁ when C₁ = 10 μF,C₂ = 12 μF,C₃ = 15 μF,and V₀ = 70 V.

If V_A − V_B = 50 V,how much energy is stored in the 36-μF capacitor?

If V_A − V_B = 50 V,how much energy is stored in the 54-μF capacitor?

What is the total energy stored by C₃ when C₁ = 50 μF,C₂ = 30 μF,C₃ = 36 μF,C₄ = 12 μF,and V₀ = 30 V?