Question 1

If a = 3.0 mm,b = 4.0 mm,Q1 = 60 nC,Q2 = 80 nC,and q = 24 nC in the figure,what is the magnitude of the electric force on q?

Accepted Answer

A) 2.7 N 
B) 1.9 N 
C) 2.3 N 
D) 1.5 N 
E) 0.52 N 
A) 2.7 N 
B) 1.9 N 
C) 2.3 N 
D) 1.5 N 
E) 0.52 N

Question 2

Three identical point charges Q are placed at the vertices of an equilateral triangle (length of each side = 2.0 m).If Q = 60 μC,what is the magnitude of the electrostatic force on any one of the charges?

Accepted Answer

A) 25 N 
B) 19 N 
C) 14 N 
D) 22 N 
E) 16 N 
A) 25 N 
B) 19 N 
C) 14 N 
D) 22 N 
E) 16 N

Question 3

Three point charges,two positive and one negative,each having a magnitude of 20 μC are placed at the vertices of an equilateral triangle (30 cm on a side).What is the magnitude of the electrostatic force on one of the positive charges?

Accepted Answer

A) 69 N 
B) 40 N 
C) 80 N 
D) 57 N 
E) 20 N 
A) 69 N 
B) 40 N 
C) 80 N 
D) 57 N 
E) 20 N

Question 4

Two identical pith balls supported by insulating threads hang side by side and close together,as shown below.  
One is positively charged;the other is neutral.We can conclude that

Accepted Answer

A) all field lines leaving the positively charged pith ball end on the neutral pith ball. 
B) some of the field lines leaving the positively charged pith ball end on the neutral pith ball. 
C) none of the field lines leaving the positively charged pith ball end on the neutral pith ball. 
D) positive charge is transferred along the field lines until both balls have equal charges. 
E) positive charge is transferred along the field lines until both balls hang along vertical lines. 
A) all field lines leaving the positively charged pith ball end on the neutral pith ball. 
B) some of the field lines leaving the positively charged pith ball end on the neutral pith ball. 
C) none of the field lines leaving the positively charged pith ball end on the neutral pith ball. 
D) positive charge is transferred along the field lines until both balls have equal charges. 
E) positive charge is transferred along the field lines until both balls hang along vertical lines.

Question 5

A particle (mass = 5.0 g,charge = 40 mC)moves in a region of space where the electric field is uniform and is given by Ex = −5.5 N/C,Ey = Ez = 0.If the position and velocity of the particle at t = 0 are given by x = y = z = 0 and vx = 50 m/s,vy = vz = 0,what is the distance from the origin to the particle at t = 2.0 s?

Accepted Answer

A) 60 m 
B) 28 m 
C) 44 m 
D) 12 m 
E) 88 m 
A) 60 m 
B) 28 m 
C) 44 m 
D) 12 m 
E) 88 m

Question 6

A uniform linear charge of 3.0 nC/m is distributed along the y axis from y = −3 m to y = 2m.Which of the following integrals is correct for the magnitude of the electric field at y = 4 m on the y axis?

Accepted Answer

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

Question 7

A charge of 80 nC is uniformly distributed along the x axis from x = 0 to x = 2.0 m.Determine the magnitude of the electric field at a point on the x axis with x = 8.0 m.

Accepted Answer

A) 30 N/C 
B) 15 N/C 
C) 48 N/C 
D) 90 N/C 
E) 60 N/C 
A) 30 N/C 
B) 15 N/C 
C) 48 N/C 
D) 90 N/C 
E) 60 N/C

Question 8

A charge of 50 nC is uniformly distributed along the y axis from y = 3.0 m to y = 5.0 m.What is the magnitude of the electric field at the origin?

Accepted Answer

A) 18 N/C 
B) 50 N/C 
C) 30 N/C 
D) 15 N/C 
E) 90 N/C 
A) 18 N/C 
B) 50 N/C 
C) 30 N/C 
D) 15 N/C 
E) 90 N/C

Question 9

A 12-nC charge is distributed uniformly along the y axis from y = 0 to y = 4 m.Which of the following integrals is correct for the x component of the electric field at x = 2 m on the x axis?

Accepted Answer

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

Question 10

A point charge Q is placed on the x axis at x = 2.0 m.A second point charge,−Q,is placed at x = 3.0 m.If Q = 40 μC,what is the magnitude of the electrostatic force on a 30-μC charge placed at the origin?

Accepted Answer

A) 7.2 N 
B) 3.9 N 
C) 1.5 N 
D) 14 N 
E) 8.1 N 
A) 7.2 N 
B) 3.9 N 
C) 1.5 N 
D) 14 N 
E) 8.1 N

Question 11

If a = 60 cm,b = 80 cm,Q = −6.0 nC,and q = 3.0 nC in the figure,what is the magnitude of the electric field at point P?

Accepted Answer

A) 71 N/C 
B) 56 N/C 
C) 60 N/C 
D) 53 N/C 
E) 67 N/C 
A) 71 N/C 
B) 56 N/C 
C) 60 N/C 
D) 53 N/C 
E) 67 N/C

Question 12

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

Accepted Answer

A) −5.0 N/C 
B) −4.0 N/C 
C) −5.7 N/C 
D) −6.2 N/C 
E) −9.0 N/C 
A) −5.0 N/C 
B) −4.0 N/C 
C) −5.7 N/C 
D) −6.2 N/C 
E) −9.0 N/C

Question 13

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 the knot at the center is

Accepted Answer

A) 0. 
B) 3.75 × 10−2. 
C) 5.63 × 10−2. 
D) 6.50 × 10−2. 
E) 7.50 × 10−2. 
A) 0. 
B) 3.75 × 10−2. 
C) 5.63 × 10−2. 
D) 6.50 × 10−2. 
E) 7.50 × 10−2.

Question 14

A particle (mass = 5.0 g,charge = 40 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 vy = 50 m/s,vx = vz = 0,what is the speed of the particle at t = 2.0 s?

Accepted Answer

A) 81 m/s 
B) 72 m/s 
C) 64 m/s 
D) 89 m/s 
E) 25 m/s 
A) 81 m/s 
B) 72 m/s 
C) 64 m/s 
D) 89 m/s 
E) 25 m/s

Question 15

A charge of 25 nC is uniformly distributed along a circular arc (radius = 2.0 m)that is subtended by a 90-degree angle.What is the magnitude of the electric field at the center of the circle along which the arc lies?

Accepted Answer

A) 81 N/C 
B) 61 N/C 
C) 71 N/C 
D) 51 N/C 
E) 25 N/C 
A) 81 N/C 
B) 61 N/C 
C) 71 N/C 
D) 51 N/C 
E) 25 N/C

Question 16

A particle (q = 4.0 mC,m = 50 g)has a velocity of 25 m/s in the positive x direction when it first enters a region where the electric field is uniform (60 N/C in the positive y direction).What is the speed of the particle 5.0 s after it enters this region?

Accepted Answer

A) 49 m/s 
B) 35 m/s 
C) 32 m/s 
D) 44 m/s 
E) 24 m/s 
A) 49 m/s 
B) 35 m/s 
C) 32 m/s 
D) 44 m/s 
E) 24 m/s

Question 17

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

Accepted Answer

A) 65 N/C 
B) 55 N/C 
C) 60 N/C 
D) 52 N/C 
E) 67 N/C 
A) 65 N/C 
B) 55 N/C 
C) 60 N/C 
D) 52 N/C 
E) 67 N/C

Question 18

A charge of 50-μC is placed on the y axis at y = 3.0 cm and a 77-μC charge is placed on the x axis at x = 4.0 cm.If both charges are held fixed,what is the magnitude of the initial acceleration of an electron released from rest at the origin?

Accepted Answer

A) 1.2 × 1020 m/s2 
B) 1.5 × 1020 m/s2 
C) 1.0 × 1020 m/s2 
D) 1.8 × 1020 m/s2 
E) 2.0 × 1020 m/s2 
A) 1.2 × 1020 m/s2 
B) 1.5 × 1020 m/s2 
C) 1.0 × 1020 m/s2 
D) 1.8 × 1020 m/s2 
E) 2.0 × 1020 m/s2

Question 19

A charge Q is placed on the x axis at x = +4.0 m.A second charge q is located at the origin.If Q = +75 nC and q = −8.0 nC,what is the magnitude of the electric field on the y axis at y = +3.0 m?

Accepted Answer

A) 19 N/C 
B) 23 N/C 
C) 32 N/C 
D) 35 N/C 
E) 21 N/C 
A) 19 N/C 
B) 23 N/C 
C) 32 N/C 
D) 35 N/C 
E) 21 N/C

Question 20

A charge of +80 μC is placed on the x axis at x = 0.A second charge of −50 μC is placed on the x axis at x = 50 cm.What is the magnitude of the electrostatic force on a third charge of 4.0 μC placed on the x axis at x = 30 cm?

Accepted Answer

A) 13 N 
B) 77 N 
C) 39 N 
D) 25 N 
E) 45 N 
A) 13 N 
B) 77 N 
C) 39 N 
D) 25 N 
E) 45 N

Exam 23: Electric Fields

If a = 3.0 mm,b = 4.0 mm,Q1 = 60 nC,Q2 = 80 nC,and q = 24 nC in the figure,what is the magnitude of the electric force on q?

Three identical point charges Q are placed at the vertices of an equilateral triangle (length of each side = 2.0 m).If Q = 60 μC,what is the magnitude of the electrostatic force on any one of the charges?

Three point charges,two positive and one negative,each having a magnitude of 20 μC are placed at the vertices of an equilateral triangle (30 cm on a side).What is the magnitude of the electrostatic force on one of the positive charges?

Two identical pith balls supported by insulating threads hang side by side and close together,as shown below. One is positively charged;the other is neutral.We can conclude that

A uniform linear charge of 3.0 nC/m is distributed along the y axis from y = −3 m to y = 2m.Which of the following integrals is correct for the magnitude of the electric field at y = 4 m on the y axis?

A charge of 80 nC is uniformly distributed along the x axis from x = 0 to x = 2.0 m.Determine the magnitude of the electric field at a point on the x axis with x = 8.0 m.

A charge of 50 nC is uniformly distributed along the y axis from y = 3.0 m to y = 5.0 m.What is the magnitude of the electric field at the origin?

A 12-nC charge is distributed uniformly along the y axis from y = 0 to y = 4 m.Which of the following integrals is correct for the x component of the electric field at x = 2 m on the x axis?

A point charge Q is placed on the x axis at x = 2.0 m.A second point charge,−Q,is placed at x = 3.0 m.If Q = 40 μC,what is the magnitude of the electrostatic force on a 30-μC charge placed at the origin?

If a = 60 cm,b = 80 cm,Q = −6.0 nC,and q = 3.0 nC in the figure,what is the magnitude of the electric field at point P?

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

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 the knot at the center is

A particle (mass = 5.0 g,charge = 40 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 vy = 50 m/s,vx = vz = 0,what is the speed of the particle at t = 2.0 s?

A charge of 25 nC is uniformly distributed along a circular arc (radius = 2.0 m)that is subtended by a 90-degree angle.What is the magnitude of the electric field at the center of the circle along which the arc lies?

A particle (q = 4.0 mC,m = 50 g)has a velocity of 25 m/s in the positive x direction when it first enters a region where the electric field is uniform (60 N/C in the positive y direction).What is the speed of the particle 5.0 s after it enters this region?

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

A charge of 50-μC is placed on the y axis at y = 3.0 cm and a 77-μC charge is placed on the x axis at x = 4.0 cm.If both charges are held fixed,what is the magnitude of the initial acceleration of an electron released from rest at the origin?

A charge Q is placed on the x axis at x = +4.0 m.A second charge q is located at the origin.If Q = +75 nC and q = −8.0 nC,what is the magnitude of the electric field on the y axis at y = +3.0 m?

A charge of +80 μC is placed on the x axis at x = 0.A second charge of −50 μC is placed on the x axis at x = 50 cm.What is the magnitude of the electrostatic force on a third charge of 4.0 μC placed on the x axis at x = 30 cm?

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If a = 3.0 mm,b = 4.0 mm,Q₁ = 60 nC,Q₂ = 80 nC,and q = 24 nC in the figure,what is the magnitude of the electric force on q?

A particle (mass = 5.0 g,charge = 40 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_y = 50 m/s,v_x = v_z = 0,what is the speed of the particle at t = 2.0 s?