Question 1

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 × 10−10 m.The electric potential created by the proton at the position of the electron is

Accepted Answer

A) −13.6 V. 
B) +13.6 V. 
C) −27.2 V. 
D) +27.2 V. 
E) +5.12 × 109 V.

Question 2

A particle (charge = Q)is kept in a fixed position at point P,and a second particle (charge = q)is released from rest when it is a distance R from P.If Q = +2.0 mC,q = −1.5 mC,and R = 30 cm,what is the kinetic energy of the moving particle after it has moved a distance of 10 cm?

Accepted Answer

A) 60 kJ 
B) 45 kJ 
C) 75 kJ 
D) 90 kJ 
E) 230 kJ

Question 3

Identical point charges (+30 μC)are placed at the corners of a rectangle (4.0 m × 6.0 m).How much external energy is required to bring a charge of 55 μC from infinity to the midpoint of one of the 6.0-m long sides of the rectangle?

Accepted Answer

A) 22 J 
B) 16 J 
C) 13 J 
D) 19 J 
E) 8.0 J

Question 4

A particle (mass = 6.7 × 10−27 kg,charge = 3.2 × 10−19 C)moves along the positive x axis with a speed of 4.8 × 105 m/s.It enters a region of uniform electric field parallel to its motion and comes to rest after moving 2.0 m into the field.What is the magnitude of the electric field?

Accepted Answer

A) 2.0 kN/C 
B) 1.5 kN/C 
C) 1.2 kN/C 
D) 3.5 kN/C 
E) 2.4 kN/C

Question 5

Point charges q and Q are positioned as shown.If q = +2.0 nC,Q = −2.0 nC,a = 3.0 m,and b = 4.0 m,what is the electric potential difference,VA − VB?

Accepted Answer

A) 8.4 V 
B) 6.0 V 
C) 7.2 V 
D) 4.8 V 
E) 0 V

Question 6

A solid conducting sphere (radius = 5.0 cm)has a charge of 0.25 nC distributed uniformly on its surface.If point A is located at the center of the sphere and point B is 15 cm from the center,what is the magnitude of the electric potential difference between these two points?

Accepted Answer

A) 23 V 
B) 30 V 
C) 15 V 
D) 45 V 
E) 60 V

Question 7

A series of 3 uncharged concentric shells surround a small central charge q.The charge distributed on the outside of the third shell is

Accepted Answer

A) −3q. 
B) −(ln 3)q. 
C) +q. 
D) +(ln 3)q. 
E) +3q.

Question 8

Points A [at (3,6)m] and B [at (8,−3)m] are in a region where the electric field is uniform and given by 
N/C)What is the electric potential difference VA − VB?

Accepted Answer

A) +60 V 
B) −60 V 
C) +80 V 
D) −80 V 
E) +50 V

Question 9

A series of n uncharged concentric spherical conducting shells surround a small central charge q.The potential at a point outside the nth shell,at distance r from the center,and relative to V = 0 at ∞,is

Accepted Answer

A)   . 
B)   . 
C)   . 
D)   . 
E)   .

Question 10

Charge of uniform density 50 nC/m3 is distributed throughout the inside of a long nonconducting cylindrical rod (radius = 5.0 cm).Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod)and point B (4.0 cm from the axis).

Accepted Answer

A) 2.7 V 
B) 2.0 V 
C) 2.4 V 
D) 1.7 V 
E) 3.4 V

Question 11

Two identical particles,each with a mass of 4.5 μg and a charge of 30 nC,are moving directly toward each other with equal speeds of 4.0 m/s at an instant when the distance separating the two is equal to 25 cm.How far apart will they be when closest to one another?

Accepted Answer

A) 9.8 cm 
B) 12 cm 
C) 7.8 cm 
D) 15 cm 
E) 20 cm

Question 12

A proton (m = 1.7 × 10−27 kg,q = +1.6 × 10−19 C)starts from rest at point A and has a speed of 40 km/s at point B.Only electric forces act on it during this motion.Determine the electric potential difference VB − VA.

Accepted Answer

A) +8.5 V 
B) −8.5 V 
C) −4.8 V 
D) +4.8 V 
E) −17 V

Question 13

When introduced into a region where an electric field is present,a proton with initial velocity  Will eventually move

Accepted Answer

A) along an electric field line,in the positive direction of the line. 
B) along an electric field line,in the negative direction of the line. 
C) to a point of decreased potential. 
D) to a point of decreased potential.. 
E) as described in both (a)and (c).

Question 14

An infinite plane of charge with 
Is tilted at a 45° angle to the vertical direction as shown below.The potential difference,VA − VB,in volts,between points A and B,a 4.50 m distance apart,is

Accepted Answer

A) −7.06. 
B) −9.98. 
C) −14.11. 
D) +7.06. 
E) +9.98.

Question 15

A charge per unit length given by λ(x)= bx,where b = 12 nC/m2,is distributed along the x axis from x = +9.0 cm to x = +16 cm.If the electric potential at infinity is taken to be zero,what is the electric potential at the point P on the y axis at y = 12 cm?

Accepted Answer

A) 5.4 V 
B) 7.2 V 
C) 9.0 V 
D) 9.9 V 
E) 16 V

Question 16

Can the lines in the figure below be equipotential lines?

Accepted Answer

A) No,because there are sharp corners. 
B) No,because they are isolated lines. 
C) Yes,because any lines within a charge distribution are equipotential lines. 
D) Yes,they might be boundary lines of the two surfaces of a conductor. 
E) It is not possible to say without further information.

Question 17

Identical 8.0-μC point charges are positioned on the x axis at x = ±1.0 m and released from rest simultaneously.What is the kinetic energy of either of the charges after it has moved 2.0 m?

Accepted Answer

A) 84 mJ 
B) 54 mJ 
C) 96 mJ 
D) 63 mJ 
E) 48 mJ

Question 18

An alpha particle (m = 6.7 × 10−27 kg,q = +3.2 × 10−19 C)has a speed of 20 km/s at point A and moves to point B where it momentarily stops.Only electric forces act on the particle during this motion.Determine the electric potential difference VA − VB.

Accepted Answer

A) +4.2 V 
B) −4.2 V 
C) −9.4 V 
D) +9.4 V 
E) −8.4 V

Question 19

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius.Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor.Determine the electric potential difference VA − VB.

Accepted Answer

A) +1.8 V 
B) +29 V 
C) +27 V 
D) +7.2 V 
E) +9.0 V

Question 20

Four electrons move from point A to point B in a uniform electric field as shown below.Rank the electrons in diagrams I through IV by the changes in potential from most positive to most negative when traveling from A to B.

Accepted Answer

A) I = II = III = IV. 
B) II = III > I > IV. 
C) III > I = IV > II. 
D) II > I = IV > III. 
E) I > II = III > IV.

Exam 25: Electric Potential

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a₀ = 0.529 × 10−¹⁰ m.The electric potential created by the proton at the position of the electron is

A particle (charge = Q) is kept in a fixed position at point P,and a second particle (charge = q) is released from rest when it is a distance R from P.If Q = +2.0 mC,q = −1.5 mC,and R = 30 cm,what is the kinetic energy of the moving particle after it has moved a distance of 10 cm?

Identical point charges (+30 μC) are placed at the corners of a rectangle (4.0 m × 6.0 m) .How much external energy is required to bring a charge of 55 μC from infinity to the midpoint of one of the 6.0-m long sides of the rectangle?

A particle (mass = 6.7 × 10−²⁷ kg,charge = 3.2 × 10−¹⁹ C) moves along the positive x axis with a speed of 4.8 × 10⁵ m/s.It enters a region of uniform electric field parallel to its motion and comes to rest after moving 2.0 m into the field.What is the magnitude of the electric field?

Point charges q and Q are positioned as shown.If q = +2.0 nC,Q = −2.0 nC,a = 3.0 m,and b = 4.0 m,what is the electric potential difference,V_A − V_B?

A solid conducting sphere (radius = 5.0 cm) has a charge of 0.25 nC distributed uniformly on its surface.If point A is located at the center of the sphere and point B is 15 cm from the center,what is the magnitude of the electric potential difference between these two points?

A series of 3 uncharged concentric shells surround a small central charge q.The charge distributed on the outside of the third shell is

Points A [at (3,6) m] and B [at (8,−3) m] are in a region where the electric field is uniform and given by N/C) What is the electric potential difference V_A − V_B?

A series of n uncharged concentric spherical conducting shells surround a small central charge q.The potential at a point outside the nth shell,at distance r from the center,and relative to V = 0 at ∞,is

Charge of uniform density 50 nC/m³ is distributed throughout the inside of a long nonconducting cylindrical rod (radius = 5.0 cm) .Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod) and point B (4.0 cm from the axis) .

Two identical particles,each with a mass of 4.5 μg and a charge of 30 nC,are moving directly toward each other with equal speeds of 4.0 m/s at an instant when the distance separating the two is equal to 25 cm.How far apart will they be when closest to one another?

A proton (m = 1.7 × 10−²⁷ kg,q = +1.6 × 10−¹⁹ C) starts from rest at point A and has a speed of 40 km/s at point B.Only electric forces act on it during this motion.Determine the electric potential difference V_B − V_A.

When introduced into a region where an electric field is present,a proton with initial velocity Will eventually move

An infinite plane of charge with Is tilted at a 45° angle to the vertical direction as shown below.The potential difference,V_A − V_B,in volts,between points A and B,a 4.50 m distance apart,is

A charge per unit length given by λ(x) = bx,where b = 12 nC/m²,is distributed along the x axis from x = +9.0 cm to x = +16 cm.If the electric potential at infinity is taken to be zero,what is the electric potential at the point P on the y axis at y = 12 cm?

Can the lines in the figure below be equipotential lines?

Identical 8.0-μC point charges are positioned on the x axis at x = ±1.0 m and released from rest simultaneously.What is the kinetic energy of either of the charges after it has moved 2.0 m?

An alpha particle (m = 6.7 × 10−²⁷ kg,q = +3.2 × 10−¹⁹ C) has a speed of 20 km/s at point A and moves to point B where it momentarily stops.Only electric forces act on the particle during this motion.Determine the electric potential difference V_A − V_B.

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius.Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor.Determine the electric potential difference V_A − V_B.

Four electrons move from point A to point B in a uniform electric field as shown below.Rank the electrons in diagrams I through IV by the changes in potential from most positive to most negative when traveling from A to B.

Exam 25: Electric Potential

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 × 10−10 m.The electric potential created by the proton at the position of the electron is

A particle (charge = Q) is kept in a fixed position at point P,and a second particle (charge = q) is released from rest when it is a distance R from P.If Q = +2.0 mC,q = −1.5 mC,and R = 30 cm,what is the kinetic energy of the moving particle after it has moved a distance of 10 cm?

Identical point charges (+30 μC) are placed at the corners of a rectangle (4.0 m × 6.0 m) .How much external energy is required to bring a charge of 55 μC from infinity to the midpoint of one of the 6.0-m long sides of the rectangle?

A particle (mass = 6.7 × 10−27 kg,charge = 3.2 × 10−19 C) moves along the positive x axis with a speed of 4.8 × 105 m/s.It enters a region of uniform electric field parallel to its motion and comes to rest after moving 2.0 m into the field.What is the magnitude of the electric field?

Point charges q and Q are positioned as shown.If q = +2.0 nC,Q = −2.0 nC,a = 3.0 m,and b = 4.0 m,what is the electric potential difference,VA − VB?

A solid conducting sphere (radius = 5.0 cm) has a charge of 0.25 nC distributed uniformly on its surface.If point A is located at the center of the sphere and point B is 15 cm from the center,what is the magnitude of the electric potential difference between these two points?

A series of 3 uncharged concentric shells surround a small central charge q.The charge distributed on the outside of the third shell is

Points A [at (3,6) m] and B [at (8,−3) m] are in a region where the electric field is uniform and given by N/C) What is the electric potential difference VA − VB?

A series of n uncharged concentric spherical conducting shells surround a small central charge q.The potential at a point outside the nth shell,at distance r from the center,and relative to V = 0 at ∞,is

Charge of uniform density 50 nC/m3 is distributed throughout the inside of a long nonconducting cylindrical rod (radius = 5.0 cm) .Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod) and point B (4.0 cm from the axis) .

Two identical particles,each with a mass of 4.5 μg and a charge of 30 nC,are moving directly toward each other with equal speeds of 4.0 m/s at an instant when the distance separating the two is equal to 25 cm.How far apart will they be when closest to one another?

A proton (m = 1.7 × 10−27 kg,q = +1.6 × 10−19 C) starts from rest at point A and has a speed of 40 km/s at point B.Only electric forces act on it during this motion.Determine the electric potential difference VB − VA.

When introduced into a region where an electric field is present,a proton with initial velocity Will eventually move

An infinite plane of charge with Is tilted at a 45° angle to the vertical direction as shown below.The potential difference,VA − VB,in volts,between points A and B,a 4.50 m distance apart,is

A charge per unit length given by λ(x) = bx,where b = 12 nC/m2,is distributed along the x axis from x = +9.0 cm to x = +16 cm.If the electric potential at infinity is taken to be zero,what is the electric potential at the point P on the y axis at y = 12 cm?

Can the lines in the figure below be equipotential lines?

Identical 8.0-μC point charges are positioned on the x axis at x = ±1.0 m and released from rest simultaneously.What is the kinetic energy of either of the charges after it has moved 2.0 m?

An alpha particle (m = 6.7 × 10−27 kg,q = +3.2 × 10−19 C) has a speed of 20 km/s at point A and moves to point B where it momentarily stops.Only electric forces act on the particle during this motion.Determine the electric potential difference VA − VB.

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius.Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor.Determine the electric potential difference VA − VB.

Four electrons move from point A to point B in a uniform electric field as shown below.Rank the electrons in diagrams I through IV by the changes in potential from most positive to most negative when traveling from A to B.

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a₀ = 0.529 × 10−¹⁰ m.The electric potential created by the proton at the position of the electron is

A particle (mass = 6.7 × 10−²⁷ kg,charge = 3.2 × 10−¹⁹ C) moves along the positive x axis with a speed of 4.8 × 10⁵ m/s.It enters a region of uniform electric field parallel to its motion and comes to rest after moving 2.0 m into the field.What is the magnitude of the electric field?

Point charges q and Q are positioned as shown.If q = +2.0 nC,Q = −2.0 nC,a = 3.0 m,and b = 4.0 m,what is the electric potential difference,V_A − V_B?

Points A [at (3,6) m] and B [at (8,−3) m] are in a region where the electric field is uniform and given by N/C) What is the electric potential difference V_A − V_B?

Charge of uniform density 50 nC/m³ is distributed throughout the inside of a long nonconducting cylindrical rod (radius = 5.0 cm) .Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod) and point B (4.0 cm from the axis) .

A proton (m = 1.7 × 10−²⁷ kg,q = +1.6 × 10−¹⁹ C) starts from rest at point A and has a speed of 40 km/s at point B.Only electric forces act on it during this motion.Determine the electric potential difference V_B − V_A.

An infinite plane of charge with Is tilted at a 45° angle to the vertical direction as shown below.The potential difference,V_A − V_B,in volts,between points A and B,a 4.50 m distance apart,is

A charge per unit length given by λ(x) = bx,where b = 12 nC/m²,is distributed along the x axis from x = +9.0 cm to x = +16 cm.If the electric potential at infinity is taken to be zero,what is the electric potential at the point P on the y axis at y = 12 cm?

An alpha particle (m = 6.7 × 10−²⁷ kg,q = +3.2 × 10−¹⁹ C) has a speed of 20 km/s at point A and moves to point B where it momentarily stops.Only electric forces act on the particle during this motion.Determine the electric potential difference V_A − V_B.

A charge of 40 pC is distributed on an isolated spherical conductor that has a 4.0-cm radius.Point A is 1.0 cm from the center of the conductor and point B is 5.0 cm from the center of the conductor.Determine the electric potential difference V_A − V_B.