Question 1

A 40-μC charge is positioned on the x axis at x = 4.0 cm.Where should a −60-μC charge be placed to produce a net electric field of zero at the origin?

Accepted Answer

A) −5.3 cm 
B) 5.7 cm 
C) 4.9 cm 
D) −6.0 cm 
E) +6.0 cm 
A) −5.3 cm 
B) 5.7 cm 
C) 4.9 cm 
D) −6.0 cm 
E) +6.0 cm C

Question 2

Three pith balls supported by insulating threads hang from a support.We know that ball X is positively charged.When ball X is brought near balls Y and Z without touching them,it attracts Y and repels Z.Since pith is an insulating material,we can conclude that

Accepted Answer

A) Y has a negative charge. 
B) Z has a negative charge. 
C) Y has a positive charge. 
D) Z is neutral (has no net charge.) 
E) Y is negatively charged or neutral (has no net charge.) 
A) Y has a negative charge. 
B) Z has a negative charge. 
C) Y has a positive charge. 
D) Z is neutral (has no net charge.) 
E) Y is negatively charged or neutral (has no net charge.) E

Question 3

If a = 3.0 mm,b = 4.0 mm,Q1 = 60 nC,Q2 = −80 nC,and q = 36 nC in the figure,what is the magnitude of the electric force on q?

Accepted Answer

A) 5.0 N 
B) 4.4 N 
C) 3.8 N 
D) 5.7 N 
E) 0.60 N 
A) 5.0 N 
B) 4.4 N 
C) 3.8 N 
D) 5.7 N 
E) 0.60 N C

Question 4

A uniform linear charge of 2.0 nC/m is distributed along the x axis from x = 0 to x = 3 m.Which of the following integrals is correct for the x component of the electric field at y = 2 m on the y axis?

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 5

A positively charged particle is moving in the +y-direction when it enters a region with a uniform electric field pointing in the +x-direction.Which of the diagrams below shows its path while it is in the region where the electric field exists.The region with the field is the region between the plates bounding each figure.The field lines always point to the right.The x-direction is to the right;the y-direction is up.

Accepted Answer

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

Question 6

A rod (length = 2.0 m)is uniformly charged and has a total charge of 40 nC.What is the magnitude of the electric field at a point which lies along the axis of the rod and is 3.0 m from the center of the rod?

Accepted Answer

A) 40 N/C 
B) 45 N/C 
C) 24 N/C 
D) 90 N/C 
E) 36 N/C 
A) 40 N/C 
B) 45 N/C 
C) 24 N/C 
D) 90 N/C 
E) 36 N/C

Question 7

Three 2.50 μC charges are placed on tiny conducting spheres at the ends of 1.00 m-long strings that are connected at 120° angles as shown below.The magnitude,in N,of the force on any one of the charges is

Accepted Answer

A) 1.88 × 10−2. 
B) 3.25 × 10−2. 
C) 3.73 × 10−2. 
D) 6.50 × 10−2. 
E) 7.50 × 10−2. 
A) 1.88 × 10−2. 
B) 3.25 × 10−2. 
C) 3.73 × 10−2. 
D) 6.50 × 10−2. 
E) 7.50 × 10−2.

Question 8

A particle (mass = 4.0 g,charge = 80 mC)moves in a region of space where the electric field is uniform and is given by Ex = −2.5 N/C,Ey = Ez = 0.If the velocity of the particle at t = 0 is given by vx = 80 m/s,vy = vz = 0,what is the speed of the particle at t = 2.0 s?

Accepted Answer

A) 40 m/s 
B) 20 m/s 
C) 60 m/s 
D) 80 m/s 
E) 180 m/s 
A) 40 m/s 
B) 20 m/s 
C) 60 m/s 
D) 80 m/s 
E) 180 m/s

Question 9

A point charge Q is placed on the x axis at the origin.An identical point charge is placed on the x axis at x = −1.0 m and another at x = +1.0 m.If Q = 40 μC,what is the magnitude of the electrostatic force on the charge at x = +1.0 m?

Accepted Answer

A) 29 N 
B) 14 N 
C) 11 N 
D) 18 N 
E) 7.0 N 
A) 29 N 
B) 14 N 
C) 11 N 
D) 18 N 
E) 7.0 N

Question 10

A charge (uniform linear density = 9.0 nC/m)is distributed along the x axis from x = 0 to x = 3.0 m.Determine the magnitude of the electric field at a point on the x axis with x = 4.0 m.

Accepted Answer

A) 81 N/C 
B) 74 N/C 
C) 61 N/C 
D) 88 N/C 
E) 20 N/C 
A) 81 N/C 
B) 74 N/C 
C) 61 N/C 
D) 88 N/C 
E) 20 N/C

Question 11

If a = 3.0 mm,b = 4.0 mm,Q1 = −60 nC,Q2 = 80 nC,and q = 30 nC in the figure,what is the magnitude of the electric force on q?

Accepted Answer

A) 1.4 N 
B) 1.0 N 
C) 1.7 N 
D) 2.0 N 
E) 0.50 N 
A) 1.4 N 
B) 1.0 N 
C) 1.7 N 
D) 2.0 N 
E) 0.50 N

Question 12

If a = 3.0 mm,b = 4.0 mm,Q1 = 60 nC,Q2 = 80 nC,and q = 32 nC in the figure,what is the magnitude of the electric force on q?

Accepted Answer

A) 1.6 N 
B) 1.3 N 
C) 1.9 N 
D) 2.2 N 
E) 0.040 N 
A) 1.6 N 
B) 1.3 N 
C) 1.9 N 
D) 2.2 N 
E) 0.040 N

Question 13

Three point charges are positioned on the x axis.If the charges and corresponding positions are +32 μC at x = 0,+20 μC at x = 40 cm,and −60 μC at x = 60 cm,what is the magnitude of the electrostatic force on the +32-μC charge?

Accepted Answer

A) 84 N 
B) 12 N 
C) 36 N 
D) 50 N 
E) 48 N 
A) 84 N 
B) 12 N 
C) 36 N 
D) 50 N 
E) 48 N

Question 14

A point charge (−5.0 μC)is placed on the x axis at x = 4.0 cm,and a second charge (+5.0 μC)is placed on the x axis at x = −4.0 cm.What is the magnitude of the electric force on a third charge (+2.5 μC)placed on the y axis at y = 3.0 cm?

Accepted Answer

A) 90 N 
B) 45 N 
C) 54 N 
D) 72 N 
E) 36 N 
A) 90 N 
B) 45 N 
C) 54 N 
D) 72 N 
E) 36 N

Question 15

An alpha particle (charge = +2e)is sent at high speed toward a gold nucleus (charge +79e).What is the electrical force acting on the alpha particle when it is at a distance of 2 × 10−14 m away from the gold nucleus? (e = 1.6 × 10−19 C)

Accepted Answer

Question 16

A particle (charge = +40 μC)is located on the x axis at the point x = −20 cm,and a second particle (charge = −50 μC)is placed on the x axis at x = +30 cm.What is the magnitude of the total electrostatic force on a third particle (charge = −4.0 μC)placed at the origin (x = 0)?

Accepted Answer

A) 41 N 
B) 16 N 
C) 56 N 
D) 35 N 
E) 72 N 
A) 41 N 
B) 16 N 
C) 56 N 
D) 35 N 
E) 72 N

Question 17

A uniformly charged rod (length = 2.0 m,charge per unit length = 5.0 nC/m)is bent to form one quadrant of a circle.What is the magnitude of the electric field at the center of the circle?

Accepted Answer

A) 62 N/C 
B) 56 N/C 
C) 50 N/C 
D) 44 N/C 
E) 25 N/C 
A) 62 N/C 
B) 56 N/C 
C) 50 N/C 
D) 44 N/C 
E) 25 N/C

Question 18

Three pith balls supported by insulating threads hang from a support.We know that ball X is positively charged.When ball X is brought near balls Y and Z without touching them,it attracts Y and repels Z.Since pith is an insulating material,we can conclude that

Accepted Answer

A) Y has a negative charge. 
B) Z has a negative charge. 
C) Y has a positive charge. 
D) Z has a positive charge. 
E) Z is neutral (has no net charge.) 
A) Y has a negative charge. 
B) Z has a negative charge. 
C) Y has a positive charge. 
D) Z has a positive charge. 
E) Z is neutral (has no net charge.)

Question 19

If a = 60 cm,b = 80 cm,Q = −6.0 nC,and q = 4.0 nC,what is the magnitude of the electric field at point P?

Accepted Answer

A) 35 N/C 
B) 42 N/C 
C) 52 N/C 
D) 64 N/C 
E) 104 N/C 
A) 35 N/C 
B) 42 N/C 
C) 52 N/C 
D) 64 N/C 
E) 104 N/C

Question 20

A uniform linear charge density of 7.0 nC/m is distributed along the y axis from y = 2 m to y = 5 m.Which of the following integrals is correct for the magnitude (in N/C)of the electric field at y = 0 on the y axis?

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Exam 23: Electric Fields

A 40-μC charge is positioned on the x axis at x = 4.0 cm.Where should a −60-μC charge be placed to produce a net electric field of zero at the origin?

Three pith balls supported by insulating threads hang from a support.We know that ball X is positively charged.When ball X is brought near balls Y and Z without touching them,it attracts Y and repels Z.Since pith is an insulating material,we can conclude that

If a = 3.0 mm,b = 4.0 mm,Q1 = 60 nC,Q2 = −80 nC,and q = 36 nC in the figure,what is the magnitude of the electric force on q?

A uniform linear charge of 2.0 nC/m is distributed along the x axis from x = 0 to x = 3 m.Which of the following integrals is correct for the x component of the electric field at y = 2 m on the y axis?

A rod (length = 2.0 m)is uniformly charged and has a total charge of 40 nC.What is the magnitude of the electric field at a point which lies along the axis of the rod and is 3.0 m from the center of the rod?

Three 2.50 μC charges are placed on tiny conducting spheres at the ends of 1.00 m-long strings that are connected at 120° angles as shown below.The magnitude,in N,of the force on any one of the charges is

A particle (mass = 4.0 g,charge = 80 mC)moves in a region of space where the electric field is uniform and is given by Ex = −2.5 N/C,Ey = Ez = 0.If the velocity of the particle at t = 0 is given by vx = 80 m/s,vy = vz = 0,what is the speed of the particle at t = 2.0 s?

A point charge Q is placed on the x axis at the origin.An identical point charge is placed on the x axis at x = −1.0 m and another at x = +1.0 m.If Q = 40 μC,what is the magnitude of the electrostatic force on the charge at x = +1.0 m?

A charge (uniform linear density = 9.0 nC/m)is distributed along the x axis from x = 0 to x = 3.0 m.Determine the magnitude of the electric field at a point on the x axis with x = 4.0 m.

If a = 3.0 mm,b = 4.0 mm,Q1 = −60 nC,Q2 = 80 nC,and q = 30 nC in the figure,what is the magnitude of the electric force on q?

If a = 3.0 mm,b = 4.0 mm,Q1 = 60 nC,Q2 = 80 nC,and q = 32 nC in the figure,what is the magnitude of the electric force on q?

Three point charges are positioned on the x axis.If the charges and corresponding positions are +32 μC at x = 0,+20 μC at x = 40 cm,and −60 μC at x = 60 cm,what is the magnitude of the electrostatic force on the +32-μC charge?

A point charge (−5.0 μC)is placed on the x axis at x = 4.0 cm,and a second charge (+5.0 μC)is placed on the x axis at x = −4.0 cm.What is the magnitude of the electric force on a third charge (+2.5 μC)placed on the y axis at y = 3.0 cm?

An alpha particle (charge = +2e)is sent at high speed toward a gold nucleus (charge +79e).What is the electrical force acting on the alpha particle when it is at a distance of 2 × 10−14 m away from the gold nucleus? (e = 1.6 × 10−19 C)

A particle (charge = +40 μC)is located on the x axis at the point x = −20 cm,and a second particle (charge = −50 μC)is placed on the x axis at x = +30 cm.What is the magnitude of the total electrostatic force on a third particle (charge = −4.0 μC)placed at the origin (x = 0)?

A uniformly charged rod (length = 2.0 m,charge per unit length = 5.0 nC/m)is bent to form one quadrant of a circle.What is the magnitude of the electric field at the center of the circle?

Three pith balls supported by insulating threads hang from a support.We know that ball X is positively charged.When ball X is brought near balls Y and Z without touching them,it attracts Y and repels Z.Since pith is an insulating material,we can conclude that

If a = 60 cm,b = 80 cm,Q = −6.0 nC,and q = 4.0 nC,what is the magnitude of the electric field at point P?

A uniform linear charge density of 7.0 nC/m is distributed along the y axis from y = 2 m to y = 5 m.Which of the following integrals is correct for the magnitude (in N/C)of the electric field at y = 0 on the y axis?

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If a = 3.0 mm,b = 4.0 mm,Q₁ = 60 nC,Q₂ = −80 nC,and q = 36 nC in the figure,what is the magnitude of the electric force on q?

A particle (mass = 4.0 g,charge = 80 mC)moves in a region of space where the electric field is uniform and is given by E_x = −2.5 N/C,E_y = E_z = 0.If the velocity of the particle at t = 0 is given by v_x = 80 m/s,v_y = v_z = 0,what is the speed of the particle at t = 2.0 s?

If a = 3.0 mm,b = 4.0 mm,Q₁ = −60 nC,Q₂ = 80 nC,and q = 30 nC in the figure,what is the magnitude of the electric force on q?

If a = 3.0 mm,b = 4.0 mm,Q₁ = 60 nC,Q₂ = 80 nC,and q = 32 nC in the figure,what is the magnitude of the electric force on q?

An alpha particle (charge = +2e)is sent at high speed toward a gold nucleus (charge +79e).What is the electrical force acting on the alpha particle when it is at a distance of 2 × 10−¹⁴ m away from the gold nucleus? (e = 1.6 × 10−¹⁹ C)