Question 1

A particle of charge +2q is placed at the origin and particle of charge -q is placed on the x-axis at x = 2a.Where on the x-axis can a third positive charge be placed so that the net electric force on it is zero?

Accepted Answer

A)  3.4a
B)  6.8a
C)  8.6a
D)  9.3a
E)  1.0aF) A) and E)
G) B) and C)

Question 2

Three equal charges +Q are at three of the corners of a square of side d.A fourth charge +Q of equal magnitude is at the center of the square as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the center of the square?

Accepted Answer

A)  A
B)  B
C)  C
D)  DE) C) and D)
F) B) and C)

Question 3

A negatively-charged plastic rod is brought close to (but does not touch) a neutral metal sphere that is connected to ground.After waiting a few seconds,the ground connection is removed (without touching the sphere) ,and after that the rod is also removed.The sphere is now

Accepted Answer

A)  negatively charged.
B)  positively charged.
C)  neutral.D) A) and B)
E) A) and C)

Question 4

A small 0.050-kg insulating sphere carries a charge of -60 μC and is hanging by a vertical silk thread from a fixed point in the ceiling.An external uniform vertical electric field is now applied.If the applied electric field has a magnitude of 3000 N/C and is directed downward,what is the tension in the silk thread? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A)  0.19 N
B)  0.31 N
C)  0.41 N
D)  0.52 N
E)  0.71 NF) None of the above
G) B) and D)

Question 5

Two point charges,Q1 and Q2,are separated by a distance R.If the magnitudes of both charges are doubled and their separation is also doubled,what happens to the electrical force that each charge exerts on the other one?

Accepted Answer

A)  It increases by a factor of 2.
B)  It increases by a factor of 1 and Q2,are separated by a distance R.If the magnitudes of both charges are doubled and their separation is also doubled,what happens to the electrical force that each charge exerts on the other one? 
A)  It increases by a factor of 2. 
B)  It increases by a factor of   . 
C)  It is reduced by a factor of   . 
D)  It increases by a factor of 4. 
E)  It remains the same." class="answers-bank-image d-inline" rel="preload" > .
C)  It is reduced by a factor of 1 and Q2,are separated by a distance R.If the magnitudes of both charges are doubled and their separation is also doubled,what happens to the electrical force that each charge exerts on the other one? 
A)  It increases by a factor of 2. 
B)  It increases by a factor of   . 
C)  It is reduced by a factor of   . 
D)  It increases by a factor of 4. 
E)  It remains the same." class="answers-bank-image d-inline" rel="preload" > .
D)  It increases by a factor of 4.
E)  It remains the same.F) D) and E)
G) All of the above

Question 6

Which one of the arrows shown in the figure best represents the direction of the electric field between the two uniformly charged metal plates?

Accepted Answer

A)  A
B)  B
C)  C
D)  D
E)  None of the aboveF) None of the above
G) B) and D)

Question 7

Two electrons are -19 C,k = 1/4πε0 = 9.0 109 N ∙ m2/C2)  A) 5.8 × 10-25 N B) 2.3 × 1010 N C) 2.3 N D) 5.8 × 10-27 N" class="answers-bank-image d-inline" rel="preload" >
Apart at closest approach.What is the magnitude of the maximum electric force that they exert on each other? (e = 1.60 × 10-19 C,k = 1/4πε0 = 9.0 109 N ∙ m2/C2)

Accepted Answer

A)  5.8 × 10-25 N
B)  2.3 × 1010 N
C)  2.3 N
D)  5.8 × 10-27 NE) B) and C)
F) All of the above

Question 8

A small styrofoam ball of mass 0.120 g is placed in an electric field of 6000 N/C pointing downward.What excess charge must be placed on the ball for it to remain suspended in the field?

Accepted Answer

A)  -16.0 nC
B)  -18.0 nC
C)  -57.2 nC
D)  -125 nC
E)  -196 nCF) C) and E)
G) None of the above

Question 9

Four point charges Q of equal magnitude and sign are arranged on three of the corners of the square of side d as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the upper right hand corner of the square?

Accepted Answer

A)  A
B)  B
C)  C
D)  DE) A) and D)
F) A) and C)

Question 10

Two stationary point charges q1 and q2 are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch? 1 and q2 are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch?   A) q1 is negative and q2 is positive;the magnitudes are equal. B) q1 and q2 have the same sign;the magnitudes are equal. C) q1 is positive and q2 is negative;the magnitude of q1 is greater than the magnitude of q2. D) q1 is negative and q2 is positive;the magnitude of q1 is less than the magnitude of q2. E) q1 and q2 have the same sign;the magnitude of q1 is greater than the magnitude of q2." class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  q1 is negative and q2 is positive;the magnitudes are equal.
B)  q1 and q2 have the same sign;the magnitudes are equal.
C)  q1 is positive and q2 is negative;the magnitude of q1 is greater than the magnitude of q2.
D)  q1 is negative and q2 is positive;the magnitude of q1 is less than the magnitude of q2.
E)  q1 and q2 have the same sign;the magnitude of q1 is greater than the magnitude of q2.F) None of the above
G) A) and E)

Question 11

A proton is placed in an electric field of intensity 800 N/C.What are the magnitude and direction of the acceleration of the proton due to this field? (e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

Accepted Answer

A)  7.66 × -19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > m/-19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > opposite to the electric field
B)  7.66 × -19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > m/-19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > opposite to the electric field
C)  7.66 × -19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > m/-19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > in the direction of the electric field
D)  76.6 × -19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > m/-19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > opposite to the electric field
E)  76.6 × -19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > m/-19 C,mproton = 1.67 × 10-27 kg)  
A)  7.66 ×   m/   opposite to the electric field 
B)  7.66 ×   m/   opposite to the electric field 
C)  7.66 ×   m/   in the direction of the electric field 
D)  76.6 ×   m/   opposite to the electric field 
E)  76.6 ×   m/   in the direction of the electric field" class="answers-bank-image d-inline" rel="preload" > in the direction of the electric fieldF) A) and E)
G) A) and D)

Question 12

Two 10¢ coins (dimes) carrying identical charges are lying 2.5 m apart on a table.If each of these coins experiences an electrostatic force of magnitude 2.0 N due to the other coin,how large is the charge on each coin? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A)  2.6 μC
B)  26 μC
C)  6.7 μC
D)  5.2 μC
E)  52 μCF) A) and B)
G) A) and C)

Question 13

Two tiny beads,each of mass 3.2 g,carry equal-magnitude charges.When they are placed 6.4 cm apart and released in outer space,they begin to accelerate toward each other at 538 m/s2.What is the magnitude of the charge on each bead? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A)  510 nC
B)  44 nC
C)  1800 nC
D)  890 nC
E)  1300 nCF) A) and B)
G) B) and C)

Question 14

What is the magnitude of the electric field 2.8 cm from a tiny object that carries an excess charge of -16 nC? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Accepted Answer

A)  180,000 N/C
B)  5100 N/C
C)  1.8 × 1014 N/C
D)  -180,000 N/C
E)  -5100 N/CF) A) and B)
G) A) and C)

Question 15

As shown in the figure,three small charges are equally spaced on the arc of a circle that is centered at the charge Q,where Q = +23 nC and all the other quantities are accurate to two significant figures.What is the magnitude of the net electric force on the charge Q due to the other three charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)  0 = 9.0 × 109 N ∙ m2/C2)    A) 2.6 × 10-4 N B) 1.7 × 10-4 N C) 2.1 × 10-4 N D) 3.1 × 10-4 N" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  2.6 × 10-4 N
B)  1.7 × 10-4 N
C)  2.1 × 10-4 N
D)  3.1 × 10-4 NE) All of the above
F) B) and C)

Question 16

Four tiny charged particles (two having a charge +Q and two having a charge -Q) are distributed on the x- and y-axes as shown in the figure.Each charge is equidistant from the origin.In which direction is the net electric field at the point P on the y-axis?

Accepted Answer

A)  directly up (in the +y direction) 
B)  directly left (-x direction) 
C)  upwards and towards the left
D)  upwards and towards the right
E)  The net field is zero,so there is no direction.F) A) and E)
G) D) and E)

Question 17

Four point charges of equal magnitudes but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in the figure.Which one of the arrows shown represents the net force acting on the center charge?

Accepted Answer

A)  A
B)  B
C)  C
D)  DE) A) and D)
F) A) and C)

Question 18

What is the charge on 1.0 kg of protons? (e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

Accepted Answer

A)  1.0 C
B)  1000 C
C)  9.6 × 107 C
D)  6.0 × 1026 C
E)  6.0 × 1023 CF) A) and E)
G) C) and D)

Question 19

Two identical small charged spheres are a certain distance apart,and each one initially experiences an electrostatic force of magnitude F due to the other.With time,charge gradually diminishes on both spheres by leaking off.When each of the spheres has lost half its initial charge,what will be the magnitude of the electrostatic force on each one?

Accepted Answer

A)  1/16 F
B)  1/8 F
C)  1/4 F
D)  1/2 F
E)  1/  FF) B) and C)
G) All of the above

Question 20

A proton is located at the point (x = 1.0 nm,y = 0.0 nm) and an electron is located at the point (x=0.0nm, y= 4.0nm) . Find the magnitude of the electrostatic force that each one exerts on the other.(k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2,e = 1.6 × 10-19C)

Accepted Answer

A)  1.4 × 10-11 N
B)  5.3 × 10-18 N
C)  5.3 × 108 N
D)  5.9 × 10-15 NE) B) and D)
F) B) and C)

Exam 19: Electric Charges, Forces, and Fields

What is the charge on 1.0 kg of protons? (e = 1.60 × 10^-19 C,m_proton = 1.67 × 10^-27 kg)

Correct Answer
verified

A particle of charge +2q is placed at the origin and particle of charge -q is placed on the x-axis at x = 2a.Where on the x-axis can a third positive charge be placed so that the net electric force on it is zero?

Correct Answer
verified

Correct Answer
verified

A proton is placed in an electric field of intensity 800 N/C.What are the magnitude and direction of the acceleration of the proton due to this field? (e = 1.60 × 10^-19C,m_proton = 1.67 × 10^-27 kg)

Correct Answer
verified

Two stationary point charges q₁ and q₂ are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch?

Correct Answer
verified

A negatively-charged plastic rod is brought close to (but does not touch) a neutral metal sphere that is connected to ground.After waiting a few seconds,the ground connection is removed (without touching the sphere) ,and after that the rod is also removed.The sphere is now

Correct Answer
verified

Four point charges of equal magnitudes but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in the figure.Which one of the arrows shown represents the net force acting on the center charge?

Correct Answer
verified

A proton is located at the point (x = 1.0 nm,y = 0.0 nm) and an electron is located at the point (x=0.0nm, y= 4.0nm) . Find the magnitude of the electrostatic force that each one exerts on the other.(k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²,e = 1.6 × 10^-19C)

Correct Answer
verified

What is the magnitude of the electric field 2.8 cm from a tiny object that carries an excess charge of -16 nC? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

Two tiny beads,each of mass 3.2 g,carry equal-magnitude charges.When they are placed 6.4 cm apart and released in outer space,they begin to accelerate toward each other at 538 m/s².What is the magnitude of the charge on each bead? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

Which one of the arrows shown in the figure best represents the direction of the electric field between the two uniformly charged metal plates?

Correct Answer
verified

Two point charges,Q₁ and Q₂,are separated by a distance R.If the magnitudes of both charges are doubled and their separation is also doubled,what happens to the electrical force that each charge exerts on the other one?

Correct Answer
verified

Two 10¢ coins (dimes) carrying identical charges are lying 2.5 m apart on a table.If each of these coins experiences an electrostatic force of magnitude 2.0 N due to the other coin,how large is the charge on each coin? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

A small styrofoam ball of mass 0.120 g is placed in an electric field of 6000 N/C pointing downward.What excess charge must be placed on the ball for it to remain suspended in the field?

Correct Answer
verified

Two electrons are Apart at closest approach.What is the magnitude of the maximum electric force that they exert on each other? (e = 1.60 × 10^-19 C,k = 1/4πε₀ = 9.0 10⁹ N ∙ m²/C²)

Correct Answer
verified

Four tiny charged particles (two having a charge +Q and two having a charge -Q) are distributed on the x- and y-axes as shown in the figure.Each charge is equidistant from the origin.In which direction is the net electric field at the point P on the y-axis?

Correct Answer
verified

Correct Answer
verified

Four point charges Q of equal magnitude and sign are arranged on three of the corners of the square of side d as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the upper right hand corner of the square?

Correct Answer
verified

Correct Answer
verified

Three equal charges +Q are at three of the corners of a square of side d.A fourth charge +Q of equal magnitude is at the center of the square as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the center of the square?

Correct Answer
verified

Exam 19: Electric Charges, Forces, and Fields

What is the charge on 1.0 kg of protons? (e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

Correct AnswerverifiedShow Answer

A particle of charge +2q is placed at the origin and particle of charge -q is placed on the x-axis at x = 2a.Where on the x-axis can a third positive charge be placed so that the net electric force on it is zero?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A proton is placed in an electric field of intensity 800 N/C.What are the magnitude and direction of the acceleration of the proton due to this field? (e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

Correct AnswerverifiedShow Answer

Two stationary point charges q1 and q2 are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch?

Correct AnswerverifiedShow Answer

A negatively-charged plastic rod is brought close to (but does not touch) a neutral metal sphere that is connected to ground.After waiting a few seconds,the ground connection is removed (without touching the sphere) ,and after that the rod is also removed.The sphere is now

Correct AnswerverifiedShow Answer

Four point charges of equal magnitudes but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in the figure.Which one of the arrows shown represents the net force acting on the center charge?

Correct AnswerverifiedShow Answer

A proton is located at the point (x = 1.0 nm,y = 0.0 nm) and an electron is located at the point (x=0.0nm, y= 4.0nm) . Find the magnitude of the electrostatic force that each one exerts on the other.(k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2,e = 1.6 × 10-19C)

Correct AnswerverifiedShow Answer

What is the magnitude of the electric field 2.8 cm from a tiny object that carries an excess charge of -16 nC? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Correct AnswerverifiedShow Answer

Two tiny beads,each of mass 3.2 g,carry equal-magnitude charges.When they are placed 6.4 cm apart and released in outer space,they begin to accelerate toward each other at 538 m/s2.What is the magnitude of the charge on each bead? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Correct AnswerverifiedShow Answer

Which one of the arrows shown in the figure best represents the direction of the electric field between the two uniformly charged metal plates?

Correct AnswerverifiedShow Answer

Two point charges,Q1 and Q2,are separated by a distance R.If the magnitudes of both charges are doubled and their separation is also doubled,what happens to the electrical force that each charge exerts on the other one?

Correct AnswerverifiedShow Answer

Two 10¢ coins (dimes) carrying identical charges are lying 2.5 m apart on a table.If each of these coins experiences an electrostatic force of magnitude 2.0 N due to the other coin,how large is the charge on each coin? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Correct AnswerverifiedShow Answer

A small styrofoam ball of mass 0.120 g is placed in an electric field of 6000 N/C pointing downward.What excess charge must be placed on the ball for it to remain suspended in the field?

Correct AnswerverifiedShow Answer

Two electrons are Apart at closest approach.What is the magnitude of the maximum electric force that they exert on each other? (e = 1.60 × 10-19 C,k = 1/4πε0 = 9.0 109 N ∙ m2/C2)

Correct AnswerverifiedShow Answer

Four tiny charged particles (two having a charge +Q and two having a charge -Q) are distributed on the x- and y-axes as shown in the figure.Each charge is equidistant from the origin.In which direction is the net electric field at the point P on the y-axis?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Four point charges Q of equal magnitude and sign are arranged on three of the corners of the square of side d as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the upper right hand corner of the square?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Three equal charges +Q are at three of the corners of a square of side d.A fourth charge +Q of equal magnitude is at the center of the square as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the center of the square?

Correct AnswerverifiedShow Answer

What is the charge on 1.0 kg of protons? (e = 1.60 × 10^-19 C,m_proton = 1.67 × 10^-27 kg)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A proton is placed in an electric field of intensity 800 N/C.What are the magnitude and direction of the acceleration of the proton due to this field? (e = 1.60 × 10^-19C,m_proton = 1.67 × 10^-27 kg)

Correct Answer
verified

Two stationary point charges q₁ and q₂ are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

A proton is located at the point (x = 1.0 nm,y = 0.0 nm) and an electron is located at the point (x=0.0nm, y= 4.0nm) . Find the magnitude of the electrostatic force that each one exerts on the other.(k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²,e = 1.6 × 10^-19C)

Correct Answer
verified

What is the magnitude of the electric field 2.8 cm from a tiny object that carries an excess charge of -16 nC? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

Two tiny beads,each of mass 3.2 g,carry equal-magnitude charges.When they are placed 6.4 cm apart and released in outer space,they begin to accelerate toward each other at 538 m/s².What is the magnitude of the charge on each bead? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

Correct Answer
verified

Two point charges,Q₁ and Q₂,are separated by a distance R.If the magnitudes of both charges are doubled and their separation is also doubled,what happens to the electrical force that each charge exerts on the other one?

Correct Answer
verified

Two 10¢ coins (dimes) carrying identical charges are lying 2.5 m apart on a table.If each of these coins experiences an electrostatic force of magnitude 2.0 N due to the other coin,how large is the charge on each coin? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Correct Answer
verified

Correct Answer
verified

Two electrons are Apart at closest approach.What is the magnitude of the maximum electric force that they exert on each other? (e = 1.60 × 10^-19 C,k = 1/4πε₀ = 9.0 10⁹ N ∙ m²/C²)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
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