Question 1

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V.How much kinetic energy does it gain? (e = 1.60 × 10-19C)

Accepted Answer

A) 500 J 
B) 8.0 × 10-17 J 
C) 1.6 × 10-19 J 
D) 800 J

Question 2

A region of space contains a uniform electric field,directed toward the right,as shown in the figure.Which statement about this situation is correct?

Accepted Answer

A) The potential at all three locations is the same. 
B) The potentials at points A and B are equal,and the potential at point C is higher than the potential at point A. 
C) The potential at points A and B are equal,and the potential at point C is lower than the potential at point A. 
D) The potential at point A is the highest,the potential at point B is the second highest,and the potential at point C is the lowest.

Question 3

Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0010 
,and the separation of the plates is 
An electric field of 
Is present between the plates.What is the capacitance of this capacitor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Accepted Answer

A) 180 pF 
B) 120 pF 
C) 300 pF 
D) 240 pF 
E) 360 pF

Question 4

What charge accumulates on the plates of a 2.0-μF air-filled capacitor when it is charged until the potential difference across its plates is 100 V?

Accepted Answer

A) 50 μC 
B) 100 μC 
C) 150 μC 
D) 200 μC

Question 5

An ideal parallel-plate capacitor consists of two parallel plates of area A separated by a distance d.This capacitor is connected across a battery that maintains a constant potential difference between the plates.If the separation between the plates is now doubled,the magnitude of the charge on the plates will

Accepted Answer

A) double. 
B) quadruple. 
C) be cut in half. 
D) be cut in fourth. 
E) not change.

Question 6

If the result of your calculation of a quantity has SI units of kg ∙ m/(s2 ∙C),that quantity could be

Accepted Answer

A) an electric field strength. 
B) a dielectric constant. 
C) an electric potential difference. 
D) a capacitance.

Question 7

Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other.If the smaller capacitor has capacitance C,the larger one has capacitance

Accepted Answer

A) C/2. 
B) C. 
C) 2C. 
D) 4C.

Question 8

As an electron moves in the direction the electric field lines

Accepted Answer

A) it is moving from low potential to high potential and gaining electric potential energy. 
B) it is moving from low potential to high potential and losing electric potential energy. 
C) it is moving from high potential to low potential and gaining electric potential energy. 
D) it is moving from high potential to low potential and losing electric potential energy. 
E) both its electric potential and electric potential energy remain constant.

Question 9

After a proton with an initial speed of 1.50 × 105 m/s has increased its speed by accelerating through a potential difference of 0.100 kV,what is its final speed? (e = 1.60 × 10-19 C ,mproton = 1.67 × 10-27 kg)

Accepted Answer

A) 4.56 × 105 m/s 
B) 2.04 × 105 m/s 
C) 3.55 × 105 m/s 
D) 8.80 × 105 m/s 
E) 1.55 × 106 m/s

Question 10

The three point charges shown in the figure form an equilateral triangle with sides 4.9 cm long.What is the electric potential (relative to infinity)at the point indicated with the dot,which is equidistant from all three charges? Assume that the numbers in the figure are all accurate to two significant figures.

Accepted Answer

A) 0.00 V 
B) 1,300 V 
C) 640 V 
D) 1,900 V

Question 11

A +5.0-nC charge is at the point (0.00 m,0.00 m)and a -2.0-nC charge is at (3.0 m,0.00 m).What work is required to bring a 1.0-nC charge from very far away to point (0.00 m,4.0 m)? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 15 nJ 
B) 3.6 nJ 
C) 11 nJ 
D) 7.7 nJ

Question 12

A dielectric material such as paper is inserted between the plates of a capacitor as the capacitor holds a fixed charge on its plates.What happens to the electric field between the plates as the dielectric is inserted?

Accepted Answer

A) There is no change in the field. 
B) The field becomes stronger. 
C) The field becomes weaker. 
D) The field reduces to zero.

Question 13

A parallel-plate capacitor consists of two parallel,square plates having dimensions 1.0 cm by 1.0 cm.The plates are separated by 
And the space between them is filled with Teflon,which has a dielectric constant of 2.1.What is the capacitance of this capacitor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Accepted Answer

A) 1.9 pF 
B) 0.44 pF 
C) 2.1 pF 
D) 0.89 pF

Question 14

Doubling the potential across a given capacitor causes the energy stored in that capacitor to

Accepted Answer

A) quadruple. 
B) double. 
C) reduce to one-half. 
D) reduce to one-fourth.

Question 15

In the figure,+4.0-μC and -4.0-μC point charges are located as shown.Now an additional +2.00-µC point charge is placed at point A.What is the electric potential energy of this system of three charges,relative to infinity? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Accepted Answer

A) +264 mJ 
B) -264 mJ 
C) 0.00 J 
D) -26.4 mJ 
E) +26.4 mJ

Question 16

An electric dipole with ±5.0 μC point charges is positioned so that the positive charge is 
To the right of the origin and the negative charge is at the origin.How much work does it take to bring a 
Point charge from very far away to the point x = 3.0 mm,y = 0.0 mm? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A) 23 J 
B) 110 J 
C) 19 J 
D) 49 J

Question 17

Two protons are fired toward each other in a particle accelerator,with only the electrostatic force acting.Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice. )

Accepted Answer

A) Their electric potential energy keeps increasing. 
B) Their kinetic energy keeps increasing. 
C) Their electric potential energy keeps decreasing. 
D) Their kinetic energy keeps decreasing. 
E) Their acceleration keeps decreasing.

Question 18

How much kinetic energy does a proton gain if it is accelerated,with no friction,through a potential difference of 1.00 V? The proton is 1836 times heavier than an electron,and e = 1.60 × 10-19 C.

Accepted Answer

A) 1836 eV 
B) 1.00 eV 
C) 1.60 × 10-19 eV 
D) 1.00 J 
E) 1836 J

Question 19

Two parallel circular plates,each with a radius of 
And carrying equal-magnitude surface charge densities of 
Are separated by a distance of 
With only air between them.How much energy is stored in these plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Accepted Answer

A) 78 nJ 
B) 25 nJ 
C) 7.9 nJ 
D) 250 nJ

Question 20

Four +6.00-µC point charges are at the corners of a square 2.00 m on each side.What is the electric potential of these charges,relative to infinity,at the center of this square?

Accepted Answer

A) 76.4 kV 
B) 38.2 kV 
C) 306 kV 
D) 153 kV 
E) 61.0 kV

Exam 20: Electric Potential and Electric

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V.How much kinetic energy does it gain? (e = 1.60 × 10^-19C)

A region of space contains a uniform electric field,directed toward the right,as shown in the figure.Which statement about this situation is correct?

Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0010 ,and the separation of the plates is An electric field of Is present between the plates.What is the capacitance of this capacitor? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

What charge accumulates on the plates of a 2.0-μF air-filled capacitor when it is charged until the potential difference across its plates is 100 V?

If the result of your calculation of a quantity has SI units of kg ∙ m/(s² ∙C) ,that quantity could be

Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other.If the smaller capacitor has capacitance C,the larger one has capacitance

As an electron moves in the direction the electric field lines

After a proton with an initial speed of 1.50 × 10⁵ m/s has increased its speed by accelerating through a potential difference of 0.100 kV,what is its final speed? (e = 1.60 × 10^-19C ,m_proton = 1.67 × 10^-27 kg)

A +5.0-nC charge is at the point (0.00 m,0.00 m) and a -2.0-nC charge is at (3.0 m,0.00 m) .What work is required to bring a 1.0-nC charge from very far away to point (0.00 m,4.0 m) ? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A dielectric material such as paper is inserted between the plates of a capacitor as the capacitor holds a fixed charge on its plates.What happens to the electric field between the plates as the dielectric is inserted?

A parallel-plate capacitor consists of two parallel,square plates having dimensions 1.0 cm by 1.0 cm.The plates are separated by And the space between them is filled with Teflon,which has a dielectric constant of 2.1.What is the capacitance of this capacitor? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

Doubling the potential across a given capacitor causes the energy stored in that capacitor to

In the figure,+4.0-μC and -4.0-μC point charges are located as shown.Now an additional +2.00-µC point charge is placed at point A.What is the electric potential energy of this system of three charges,relative to infinity? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Two protons are fired toward each other in a particle accelerator,with only the electrostatic force acting.Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice. )

How much kinetic energy does a proton gain if it is accelerated,with no friction,through a potential difference of 1.00 V? The proton is 1836 times heavier than an electron,and e = 1.60 × 10^-19 C.

Two parallel circular plates,each with a radius of And carrying equal-magnitude surface charge densities of Are separated by a distance of With only air between them.How much energy is stored in these plates? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

Four +6.00-µC point charges are at the corners of a square 2.00 m on each side.What is the electric potential of these charges,relative to infinity,at the center of this square?

Exam 20: Electric Potential and Electric

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V.How much kinetic energy does it gain? (e = 1.60 × 10-19C)

A region of space contains a uniform electric field,directed toward the right,as shown in the figure.Which statement about this situation is correct?

Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0010 ,and the separation of the plates is An electric field of Is present between the plates.What is the capacitance of this capacitor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

What charge accumulates on the plates of a 2.0-μF air-filled capacitor when it is charged until the potential difference across its plates is 100 V?

If the result of your calculation of a quantity has SI units of kg ∙ m/(s2 ∙C) ,that quantity could be

Two ideal parallel-plate capacitors are identical in every respect except that one has twice the plate area of the other.If the smaller capacitor has capacitance C,the larger one has capacitance

As an electron moves in the direction the electric field lines

After a proton with an initial speed of 1.50 × 105 m/s has increased its speed by accelerating through a potential difference of 0.100 kV,what is its final speed? (e = 1.60 × 10-19 C ,mproton = 1.67 × 10-27 kg)

A +5.0-nC charge is at the point (0.00 m,0.00 m) and a -2.0-nC charge is at (3.0 m,0.00 m) .What work is required to bring a 1.0-nC charge from very far away to point (0.00 m,4.0 m) ? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

A dielectric material such as paper is inserted between the plates of a capacitor as the capacitor holds a fixed charge on its plates.What happens to the electric field between the plates as the dielectric is inserted?

A parallel-plate capacitor consists of two parallel,square plates having dimensions 1.0 cm by 1.0 cm.The plates are separated by And the space between them is filled with Teflon,which has a dielectric constant of 2.1.What is the capacitance of this capacitor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Doubling the potential across a given capacitor causes the energy stored in that capacitor to

In the figure,+4.0-μC and -4.0-μC point charges are located as shown.Now an additional +2.00-µC point charge is placed at point A.What is the electric potential energy of this system of three charges,relative to infinity? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Two protons are fired toward each other in a particle accelerator,with only the electrostatic force acting.Which of the following statements must be true about them as they move closer together? (There could be more than one correct choice. )

How much kinetic energy does a proton gain if it is accelerated,with no friction,through a potential difference of 1.00 V? The proton is 1836 times heavier than an electron,and e = 1.60 × 10-19 C.

Two parallel circular plates,each with a radius of And carrying equal-magnitude surface charge densities of Are separated by a distance of With only air between them.How much energy is stored in these plates? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Four +6.00-µC point charges are at the corners of a square 2.00 m on each side.What is the electric potential of these charges,relative to infinity,at the center of this square?

A proton that is initially at rest is accelerated through an electric potential difference of magnitude 500 V.How much kinetic energy does it gain? (e = 1.60 × 10^-19C)

Each plate of an ideal air-filled parallel-plate capacitor has an area of 0.0010 ,and the separation of the plates is An electric field of Is present between the plates.What is the capacitance of this capacitor? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

If the result of your calculation of a quantity has SI units of kg ∙ m/(s² ∙C) ,that quantity could be

After a proton with an initial speed of 1.50 × 10⁵ m/s has increased its speed by accelerating through a potential difference of 0.100 kV,what is its final speed? (e = 1.60 × 10^-19C ,m_proton = 1.67 × 10^-27 kg)

A +5.0-nC charge is at the point (0.00 m,0.00 m) and a -2.0-nC charge is at (3.0 m,0.00 m) .What work is required to bring a 1.0-nC charge from very far away to point (0.00 m,4.0 m) ? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A parallel-plate capacitor consists of two parallel,square plates having dimensions 1.0 cm by 1.0 cm.The plates are separated by And the space between them is filled with Teflon,which has a dielectric constant of 2.1.What is the capacitance of this capacitor? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)

In the figure,+4.0-μC and -4.0-μC point charges are located as shown.Now an additional +2.00-µC point charge is placed at point A.What is the electric potential energy of this system of three charges,relative to infinity? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

How much kinetic energy does a proton gain if it is accelerated,with no friction,through a potential difference of 1.00 V? The proton is 1836 times heavier than an electron,and e = 1.60 × 10^-19 C.

Two parallel circular plates,each with a radius of And carrying equal-magnitude surface charge densities of Are separated by a distance of With only air between them.How much energy is stored in these plates? (ε₀ = 8.85 × 10^-12C²/N ∙ m²)