Question 1

An initially uncharged parallel plate capacitor of capacitance C is charged to potential V by a battery.The battery is then disconnected.Which statement is correct?

Accepted Answer

A) There is no charge on either plate of the capacitor. 
B) The capacitor can be discharged by grounding any one of its two plates. 
C) Charge is distributed evenly over both the inner and outer surfaces of the plates. 
D) The magnitude of the electric field outside the space between the plates is approximately zero. 
E) The capacitance increases when the distance between the plates increases.

Question 2

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 charge on the plates and the potential difference between them are

Accepted Answer

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

Question 3

How much energy is stored in the 50-μF capacitor when Va − Vb = 22V?

Accepted Answer

A) 0.78 mJ 
B) 0.58 mJ 
C) 0.68 mJ 
D) 0.48 mJ 
E) 0.22 mJ

Question 4

A 0.16 pF parallel-plate capacitor is charged to 10 V.Then the battery is disconnected from the capacitor.When 1.00 × 107 positive charges of magnitude |e| are now placed on the positive plate of the capacitor,the voltage between the plates changes by

Accepted Answer

A) −5.0 V. 
B) −1.1 V. 
C) 0 V. 
D) +1.1 V. 
E) +5.0 V.

Question 5

An electron is released from rest at the negative plate of a parallel plate capacitor.If the distance between the plates is 5 mm and the potential difference across the plates is 5 V,with what velocity does the electron hit the positive plate? (m_e = 9.1 × 10−³¹ kg,q_e = 1.6 × 10−¹⁹ C. )

Accepted Answer

The answer of An electron is released from rest at...

Question 6

Regarding the Earth and a cloud layer 800 m above the Earth as the "plates" of a capacitor,calculate the capacitance if the cloud layer has an area of 1.0 km².If an electric field of 2.0 × 10⁶ N/C makes the air break down and conduct electricity (lightning),what is the maximum charge the cloud can hold?

Accepted Answer

The answer of Regarding the Earth and a cloud layer...

Question 7

What total energy is stored in the group of capacitors shown if the potential difference Vab is equal to 50 V?

Accepted Answer

A) 48 mJ 
B) 27 mJ 
C) 37 mJ 
D) 19 mJ 
E) 10 mJ

Question 8

A 30-μF capacitor is charged to an unknown potential V0 and then connected across an initially uncharged 10-μF capacitor.If the final potential difference across the 10-μF capacitor is 20 V,determine V0.

Accepted Answer

A) 13 V 
B) 27 V 
C) 20 V 
D) 29 V 
E) 60 V

Question 9

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 new capacitance are

Accepted Answer

A)   Q0,  C0 
B) Q0,  C0 
C) Q0,C0 
D) 3Q0,C0 
E) 3Q0,3C0

Question 10

If C = 10 μF,what is the equivalent capacitance for the combination shown?

Accepted Answer

A) 7.5 μF 
B) 6.5 μF 
C) 7.0 μF 
D) 5.8 μF 
E) 13 μF

Question 11

Determine the charge stored by C1 when C1 = 20 μF,C2 = 10 μF,C3 = 30 μF,and V0 = 18 V.

Accepted Answer

A) 0.37 mC 
B) 0.24 mC 
C) 0.32 mC 
D) 0.40 mC 
E) 0.50 mC

Question 12

A 30-μF capacitor is charged to 80 V and then connected across an initially uncharged capacitor of unknown capacitance C.If the final potential difference across the 30-μF capacitor is 20 V,determine C.

Accepted Answer

A) 60 μF 
B) 75 μF 
C) 45 μF 
D) 90 μF 
E) 24 μF

Question 13

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

Accepted Answer

A) 48 pF 
B) 12 pF 
C) 24 pF 
D) 6.0 pF 
E) 59 pF

Question 14

Determine the equivalent capacitance of the combination shown when C = 45 μF.

Accepted Answer

A) 36 μF 
B) 32 μF 
C) 34 μF 
D) 30 μF 
E) 38 μF

Question 15

A 0.16 pF parallel-plate capacitor is charged to 10 V.Then the battery is disconnected from the capacitor.When 1.00 × 107 electrons are now placed on the negative plate of the capacitor,the voltage between the plates changes by

Accepted Answer

A) −5.0 V. 
B) −1.1 V. 
C) 0 V. 
D) +1.1 V. 
E) +5.0 V.

Question 16

What is the potential difference across C2 when C1 = 5.0 μF,C2 = 15 μF,C3 = 30 μF,and V0 = 24 V?

Accepted Answer

A) 21 V 
B) 19 V 
C) 16 V 
D) 24 V 
E) 8.0 V

Question 17

What is the equivalent capacitance of the combination shown?

Accepted Answer

A) 29 μF 
B) 10 μF 
C) 40 μF 
D) 25 μF 
E) 6.0 μF

Question 18

An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E.What is the magnitude of the greatest change in potential energy that can happen for this dipole in this field?

Accepted Answer

A) pE 
B)   
C) 4pE 
D)   
E) No answer given is correct.

Question 19

A 15-μF capacitor is charged to 40 V and then connected across an initially uncharged 25-μF capacitor.What is the final potential difference across the 25-μF capacitor?

Accepted Answer

A) 12 V 
B) 18 V 
C) 15 V 
D) 21 V 
E) 24 V

Question 20

When a capacitor has a charge of magnitude 80 μC on each plate the potential difference across the plates is 16 V.How much energy is stored in this capacitor when the potential difference across its plates is 42 V?

Accepted Answer

A) 1.0 mJ 
B) 4.4 mJ 
C) 3.2 mJ 
D) 1.4 mJ 
E) 1.7 mJ

Exam 26: Capacitance and Dielectrics

An initially uncharged parallel plate capacitor of capacitance C is charged to potential V by a battery.The battery is then disconnected.Which statement is correct?

How much energy is stored in the 50-μF capacitor when V_a − V_b = 22V?

A 0.16 pF parallel-plate capacitor is charged to 10 V.Then the battery is disconnected from the capacitor.When 1.00 × 10⁷ positive charges of magnitude |e| are now placed on the positive plate of the capacitor,the voltage between the plates changes by

An electron is released from rest at the negative plate of a parallel plate capacitor.If the distance between the plates is 5 mm and the potential difference across the plates is 5 V,with what velocity does the electron hit the positive plate? (m_e = 9.1 × 10−³¹ kg,q_e = 1.6 × 10−¹⁹ C. )

What total energy is stored in the group of capacitors shown if the potential difference V_ab is equal to 50 V?

A 30-μF capacitor is charged to an unknown potential V₀ and then connected across an initially uncharged 10-μF capacitor.If the final potential difference across the 10-μF capacitor is 20 V,determine V₀.

If C = 10 μF,what is the equivalent capacitance for the combination shown?

Determine the charge stored by C₁ when C₁ = 20 μF,C₂ = 10 μF,C₃ = 30 μF,and V₀ = 18 V.

A 30-μF capacitor is charged to 80 V and then connected across an initially uncharged capacitor of unknown capacitance C.If the final potential difference across the 30-μF capacitor is 20 V,determine C.

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

Determine the equivalent capacitance of the combination shown when C = 45 μF.

A 0.16 pF parallel-plate capacitor is charged to 10 V.Then the battery is disconnected from the capacitor.When 1.00 × 10⁷ electrons are now placed on the negative plate of the capacitor,the voltage between the plates changes by

What is the potential difference across C₂ when C₁ = 5.0 μF,C₂ = 15 μF,C₃ = 30 μF,and V₀ = 24 V?

What is the equivalent capacitance of the combination shown?

An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E.What is the magnitude of the greatest change in potential energy that can happen for this dipole in this field?

A 15-μF capacitor is charged to 40 V and then connected across an initially uncharged 25-μF capacitor.What is the final potential difference across the 25-μF capacitor?

When a capacitor has a charge of magnitude 80 μC on each plate the potential difference across the plates is 16 V.How much energy is stored in this capacitor when the potential difference across its plates is 42 V?

Exam 26: Capacitance and Dielectrics

An initially uncharged parallel plate capacitor of capacitance C is charged to potential V by a battery.The battery is then disconnected.Which statement is correct?

How much energy is stored in the 50-μF capacitor when Va − Vb = 22V?

A 0.16 pF parallel-plate capacitor is charged to 10 V.Then the battery is disconnected from the capacitor.When 1.00 × 107 positive charges of magnitude |e| are now placed on the positive plate of the capacitor,the voltage between the plates changes by

An electron is released from rest at the negative plate of a parallel plate capacitor.If the distance between the plates is 5 mm and the potential difference across the plates is 5 V,with what velocity does the electron hit the positive plate? (me = 9.1 × 10−31 kg,qe = 1.6 × 10−19 C. )

What total energy is stored in the group of capacitors shown if the potential difference Vab is equal to 50 V?

A 30-μF capacitor is charged to an unknown potential V0 and then connected across an initially uncharged 10-μF capacitor.If the final potential difference across the 10-μF capacitor is 20 V,determine V0.

If C = 10 μF,what is the equivalent capacitance for the combination shown?

Determine the charge stored by C1 when C1 = 20 μF,C2 = 10 μF,C3 = 30 μF,and V0 = 18 V.

A 30-μF capacitor is charged to 80 V and then connected across an initially uncharged capacitor of unknown capacitance C.If the final potential difference across the 30-μF capacitor is 20 V,determine C.

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

Determine the equivalent capacitance of the combination shown when C = 45 μF.

A 0.16 pF parallel-plate capacitor is charged to 10 V.Then the battery is disconnected from the capacitor.When 1.00 × 107 electrons are now placed on the negative plate of the capacitor,the voltage between the plates changes by

What is the potential difference across C2 when C1 = 5.0 μF,C2 = 15 μF,C3 = 30 μF,and V0 = 24 V?

What is the equivalent capacitance of the combination shown?

An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E.What is the magnitude of the greatest change in potential energy that can happen for this dipole in this field?

A 15-μF capacitor is charged to 40 V and then connected across an initially uncharged 25-μF capacitor.What is the final potential difference across the 25-μF capacitor?

When a capacitor has a charge of magnitude 80 μC on each plate the potential difference across the plates is 16 V.How much energy is stored in this capacitor when the potential difference across its plates is 42 V?

How much energy is stored in the 50-μF capacitor when V_a − V_b = 22V?

A 0.16 pF parallel-plate capacitor is charged to 10 V.Then the battery is disconnected from the capacitor.When 1.00 × 10⁷ positive charges of magnitude |e| are now placed on the positive plate of the capacitor,the voltage between the plates changes by

An electron is released from rest at the negative plate of a parallel plate capacitor.If the distance between the plates is 5 mm and the potential difference across the plates is 5 V,with what velocity does the electron hit the positive plate? (m_e = 9.1 × 10−³¹ kg,q_e = 1.6 × 10−¹⁹ C. )

What total energy is stored in the group of capacitors shown if the potential difference V_ab is equal to 50 V?

A 30-μF capacitor is charged to an unknown potential V₀ and then connected across an initially uncharged 10-μF capacitor.If the final potential difference across the 10-μF capacitor is 20 V,determine V₀.

Determine the charge stored by C₁ when C₁ = 20 μF,C₂ = 10 μF,C₃ = 30 μF,and V₀ = 18 V.

A 0.16 pF parallel-plate capacitor is charged to 10 V.Then the battery is disconnected from the capacitor.When 1.00 × 10⁷ electrons are now placed on the negative plate of the capacitor,the voltage between the plates changes by

What is the potential difference across C₂ when C₁ = 5.0 μF,C₂ = 15 μF,C₃ = 30 μF,and V₀ = 24 V?