Question 1

A point charge Q = -500 nC and two unknown point charges,q₁ and q₂,are placed as shown in the figure.The electric field at the origin O,due to charges Q,q₁ and q₂,is equal to zero.The charge q₁ is closest to A) 130 nC. B) 76 nC. C) 150 nC. D) -76 nC. E) -130 nC.

Accepted Answer

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Question 2

A metal sphere of radius 10 cm carries a charge of +2.0 μC uniformly distributed over its surface. What is the magnitude of the electric field due to this sphere at a point 5.0 cm outside the sphere's surface? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²) A) 4.0 × 10⁵ N/C B) 8.0 × 10⁵ N/C C) 4.2 × 10⁶ N/C D) 4.0 × 10⁷ N/C E) 8.0 × 10⁷ N/C

Accepted Answer

The answer of A metal sphere of radius 10 cm...

Question 3

What is the minimum magnitude of an electric field that balances the weight of a plastic sphere of mass 6.4 g that has been charged to -3.0 nC? A) 2.1 × 10⁷ N/C B) 2.4 × 10⁶ N/C C) 4.5 × 10⁶ N/C D) 6.4 × 10⁶ N/C

Accepted Answer

The answer of What is the minimum magnitude of an...

Question 4

Two point charges of +20.0 μC and -8.00 μC are separated by a distance of 20.0 cm.What is the magnitude of electric field due to these charges at a point midway between them? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²) A) 25.2 × 10⁶ N/C directed toward the negative charge B) 25.2 × 10⁶ N/C directed toward the positive charge C) 25.2 × 10⁵ N/C directed toward the negative charge D) 25.2 × 10⁵ N/C directed toward the positive charge E) 25.2 × 10⁴ N/C directed toward the negative charge

Accepted Answer

The answer of Two point charges of +20.0 μC and...

Question 5

The figure shows three electric charges labeled Q₁,Q₂,Q₃,and some electric field lines in the region surrounding the charges.What are the signs of the three charges? A) Q₁ is positive, Q₂ is negative, Q₃ is positive. B) Q₁ is negative, Q₂ is positive, Q₃ is negative. C) Q₁ is positive, Q₂ is positive, Q₃ is negative. D) All three charges are negative. E) All three charges are positive.

Accepted Answer

From the electric field lines, we can see that the charges Q₁ and Q₃ are both sources of electric field lines (positive charges), while Q₂ is a sink of electric field lines (negative charge). Thus, the signs of the three charges are positive, negative, and positive, respectively. Choice A is the only one that matches this.

Question 6

Two point charges,Q₁= -1.0 μC and Q₂= + 4.0 μC,are placed as shown in the figure. (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)The y component of the electric field,at the origin O,is closest to A) 6.0 × 10^-3 N/C. B) -6.0 × 10^-3 N/C. C) 3.8 × 10^-3 N/C. D) -3.8 × 10^-3 N/C. E) 7.1 × 10^-3 N/C.

Accepted Answer

The answer of Two point charges,Q₁= -1.0 μC and...

Question 7

Three +3.0-μC point charges are at the three corners of a square of side 0.50 m. The last corner is occupied by a -3.0-μC charge. Find the magnitude of the electric field at the center of the square. (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

Accepted Answer

The answer of Three +3.0-μC point charges are at the...

Question 8

A 5.0-μC point charge is placed at the 0.00 cm mark of a meter stick and a -4.0-μC point charge is placed at the 50 cm mark. At what point on a line joining the two charges is the electric field due to these charges equal to zero?

Accepted Answer

The answer of A 5.0-μC point charge is placed at...

Question 9

Three equal negative point charges are placed at three of the corners of a square of side d.What is the magnitude of the net electric field at the center of the square? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

Accepted Answer

The answer of Three equal negative point charges are placed...

Question 10

A point charge Q of mass 8.50 g hangs from the horizontal ceiling by a light 25.0-cm thread.When a horizontal electric field of magnitude 1750 N/C is turned on,the charge hangs away from the vertical as shown in the figure.The magnitude of Q is closest to 
A) 27.5 µC.
B) 47.6 µC.
C) 55.0 µC.
D) 3.0 µC.
E) 3.5 µC.

Accepted Answer

The answer of A point charge Q of mass 8.50...

Question 11

A 3.0-μC positive point charge is located at the origin and a 2.0 μC positive point charge is located at
X = 0.00 m,y = 1.0 m. Find the coordinates of the point where the net electric field strength due to these charges is zero.
A) x = 0.00 m, y = 0.55 m
B) x = 0.00 m, y = 0.67 m
C) x = 0.00 m, y = 1.5 m
D) x = 0.00 m, y = 0.60 m

Accepted Answer

The answer of A 3.0-μC positive point charge is located...

Question 12

Three equal negative point charges are placed at three of the corners of a square of side d as shown in the figure.Which of the arrows represents the direction of the net electric field at the center of the square? 
A) A
B) B
C) C
D) D
E) The field is equal to zero at point P.

Accepted Answer

The answer of Three equal negative point charges are placed...

Question 13

A small sphere with a mass of 441 g is moving upward along the vertical +y-axis when it encounters an electric field of 5.00 N/C . If,due to this field,the sphere suddenly acquires a horizontal acceleration of 13.0 m/s² ,what is the charge that it carries? A) 1.15 C B) -1.15 C C) 1150 C D) -1150 C

Accepted Answer

The answer of A small sphere with a mass of...

Question 14

Four equal negative point charges are located at the corners of a square,their positions in the xy-plane being (1,1),(-1,1),(-1,-1),(1,-1).The electric field on the x-axis at (1,0)points in the same direction as
A)  .
B)  .
C) - 
D)  .
E) -  .

Accepted Answer

The answer of Four equal negative point charges are located...

Question 15

The figure shows two unequal point charges,q and Q,of opposite sign.Charge Q has greater magnitude than charge q.In which of the regions X,Y,Z will there be a point at which the net electric field due to these two charges is zero? 
A) only regions X and Z
B) only region X
C) only region Y
D) only region Z
E) all three regions

Accepted Answer

The answer of The figure shows two unequal point charges,q...

Question 16

Two point charges Q₁ and Q₂ of equal magnitudes and opposite signs are positioned as shown in the figure.Which of the arrows best represents the net electric field at point P due to these two charges? A) A B) B C) C D) D E) The field is equal to zero at point P.

Accepted Answer

The answer of Two point charges Q₁ and Q₂ of...

Question 17

A small glass bead has been charged to 8.0 nC.What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²) A) 1.8 × 10⁵ N/C B) 3.6 × 10³ N/C C) 1.4 × 10^-3 N/C D) 3.6 × 10^-6 N/C

Accepted Answer

The answer of A small glass bead has been charged...

Question 18

The electric field 1.5 cm from a very small charged object points toward the object with a magnitude of 180,000 N/C.What is the charge on the object? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²) A) -4.5 nC B) +4.5 nC C) -5.0 nC D) +5.0 nC

Accepted Answer

The electric field E is given by E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 × 10^9 N·m^2/C^2), q is the charge, and r is the distance from the charge. Given E = 180,000 N/C and r = 0.015 m, solving for q gives q = Er^2/k. Substituting the given values, q = (180,000 N/C)(0.015 m)^2 / (8.99 × 10^9 N·m^2/C^2) = -4.5 × 10^-9 C or -4.5 nC, indicating the charge is negative.

Question 19

In the figure,a small spherical insulator of mass 6.00 × 10^-2 kg and charge +0.400 μC is hung by a thin wire of negligible mass.A charge of -0.220 μC is held 0.290 m away from the sphere and directly to the right of it,so the wire makes an angle θ with the vertical,as shown.What is the angle θ? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²) A) 0.917° B) 1.10° C) 1.30° D) 1.50° E) 1.70°

Accepted Answer

The answer of In the figure,a small spherical insulator of...

Question 20

An electron is initially moving to the right when it enters a uniform electric field directed upwards.Which trajectory shown below will the electron follow? 
A) trajectory W
B) trajectory X
C) trajectory Y
D) trajectory Z

Accepted Answer

The answer of An electron is initially moving to the...

Quiz 1: A: Foundations

A point charge Q = -500 nC and two unknown point charges,q₁ and q₂,are placed as shown in the figure.The electric field at the origin O,due to charges Q,q₁ and q₂,is equal to zero.The charge q₁ is closest to

A metal sphere of radius 10 cm carries a charge of +2.0 μC uniformly distributed over its surface. What is the magnitude of the electric field due to this sphere at a point 5.0 cm outside the sphere's surface? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

What is the minimum magnitude of an electric field that balances the weight of a plastic sphere of mass 6.4 g that has been charged to -3.0 nC?

Two point charges of +20.0 μC and -8.00 μC are separated by a distance of 20.0 cm.What is the magnitude of electric field due to these charges at a point midway between them? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

The figure shows three electric charges labeled Q₁,Q₂,Q₃,and some electric field lines in the region surrounding the charges.What are the signs of the three charges?

Two point charges,Q₁= -1.0 μC and Q₂= + 4.0 μC,are placed as shown in the figure. (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²) The y component of the electric field,at the origin O,is closest to

Three +3.0-μC point charges are at the three corners of a square of side 0.50 m. The last corner is occupied by a -3.0-μC charge. Find the magnitude of the electric field at the center of the square. (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A 5.0-μC point charge is placed at the 0.00 cm mark of a meter stick and a -4.0-μC point charge is placed at the 50 cm mark. At what point on a line joining the two charges is the electric field due to these charges equal to zero?

Three equal negative point charges are placed at three of the corners of a square of side d.What is the magnitude of the net electric field at the center of the square? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A point charge Q of mass 8.50 g hangs from the horizontal ceiling by a light 25.0-cm thread.When a horizontal electric field of magnitude 1750 N/C is turned on,the charge hangs away from the vertical as shown in the figure.The magnitude of Q is closest to

A 3.0-μC positive point charge is located at the origin and a 2.0 μC positive point charge is located at X = 0.00 m,y = 1.0 m. Find the coordinates of the point where the net electric field strength due to these charges is zero.

Three equal negative point charges are placed at three of the corners of a square of side d as shown in the figure.Which of the arrows represents the direction of the net electric field at the center of the square?

A small sphere with a mass of 441 g is moving upward along the vertical +y-axis when it encounters an electric field of 5.00 N/C . If,due to this field,the sphere suddenly acquires a horizontal acceleration of 13.0 m/s² ,what is the charge that it carries?

Four equal negative point charges are located at the corners of a square,their positions in the xy-plane being (1,1) ,(-1,1) ,(-1,-1) ,(1,-1) .The electric field on the x-axis at (1,0) points in the same direction as

The figure shows two unequal point charges,q and Q,of opposite sign.Charge Q has greater magnitude than charge q.In which of the regions X,Y,Z will there be a point at which the net electric field due to these two charges is zero?

Two point charges Q₁ and Q₂ of equal magnitudes and opposite signs are positioned as shown in the figure.Which of the arrows best represents the net electric field at point P due to these two charges?

A small glass bead has been charged to 8.0 nC.What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

The electric field 1.5 cm from a very small charged object points toward the object with a magnitude of 180,000 N/C.What is the charge on the object? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

An electron is initially moving to the right when it enters a uniform electric field directed upwards.Which trajectory shown below will the electron follow?

Quiz 1: A: Foundations

A point charge Q = -500 nC and two unknown point charges,q1 and q2,are placed as shown in the figure.The electric field at the origin O,due to charges Q,q1 and q2,is equal to zero.The charge q1 is closest to

A metal sphere of radius 10 cm carries a charge of +2.0 μC uniformly distributed over its surface. What is the magnitude of the electric field due to this sphere at a point 5.0 cm outside the sphere's surface? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

What is the minimum magnitude of an electric field that balances the weight of a plastic sphere of mass 6.4 g that has been charged to -3.0 nC?

Two point charges of +20.0 μC and -8.00 μC are separated by a distance of 20.0 cm.What is the magnitude of electric field due to these charges at a point midway between them? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

The figure shows three electric charges labeled Q1,Q2,Q3,and some electric field lines in the region surrounding the charges.What are the signs of the three charges?

Two point charges,Q1 = -1.0 μC and Q2 = + 4.0 μC,are placed as shown in the figure. (k = 1/4πε0 = 8.99 × 109 N • m2/C2) The y component of the electric field,at the origin O,is closest to

Three +3.0-μC point charges are at the three corners of a square of side 0.50 m. The last corner is occupied by a -3.0-μC charge. Find the magnitude of the electric field at the center of the square. (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

A 5.0-μC point charge is placed at the 0.00 cm mark of a meter stick and a -4.0-μC point charge is placed at the 50 cm mark. At what point on a line joining the two charges is the electric field due to these charges equal to zero?

Three equal negative point charges are placed at three of the corners of a square of side d.What is the magnitude of the net electric field at the center of the square? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

A point charge Q of mass 8.50 g hangs from the horizontal ceiling by a light 25.0-cm thread.When a horizontal electric field of magnitude 1750 N/C is turned on,the charge hangs away from the vertical as shown in the figure.The magnitude of Q is closest to

A 3.0-μC positive point charge is located at the origin and a 2.0 μC positive point charge is located at X = 0.00 m,y = 1.0 m. Find the coordinates of the point where the net electric field strength due to these charges is zero.

Three equal negative point charges are placed at three of the corners of a square of side d as shown in the figure.Which of the arrows represents the direction of the net electric field at the center of the square?

A small sphere with a mass of 441 g is moving upward along the vertical +y-axis when it encounters an electric field of 5.00 N/C . If,due to this field,the sphere suddenly acquires a horizontal acceleration of 13.0 m/s2 ,what is the charge that it carries?

Four equal negative point charges are located at the corners of a square,their positions in the xy-plane being (1,1) ,(-1,1) ,(-1,-1) ,(1,-1) .The electric field on the x-axis at (1,0) points in the same direction as

The figure shows two unequal point charges,q and Q,of opposite sign.Charge Q has greater magnitude than charge q.In which of the regions X,Y,Z will there be a point at which the net electric field due to these two charges is zero?

Two point charges Q1 and Q2 of equal magnitudes and opposite signs are positioned as shown in the figure.Which of the arrows best represents the net electric field at point P due to these two charges?

A small glass bead has been charged to 8.0 nC.What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

The electric field 1.5 cm from a very small charged object points toward the object with a magnitude of 180,000 N/C.What is the charge on the object? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

An electron is initially moving to the right when it enters a uniform electric field directed upwards.Which trajectory shown below will the electron follow?

A point charge Q = -500 nC and two unknown point charges,q₁ and q₂,are placed as shown in the figure.The electric field at the origin O,due to charges Q,q₁ and q₂,is equal to zero.The charge q₁ is closest to

A metal sphere of radius 10 cm carries a charge of +2.0 μC uniformly distributed over its surface. What is the magnitude of the electric field due to this sphere at a point 5.0 cm outside the sphere's surface? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

Two point charges of +20.0 μC and -8.00 μC are separated by a distance of 20.0 cm.What is the magnitude of electric field due to these charges at a point midway between them? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

The figure shows three electric charges labeled Q₁,Q₂,Q₃,and some electric field lines in the region surrounding the charges.What are the signs of the three charges?

Two point charges,Q₁= -1.0 μC and Q₂= + 4.0 μC,are placed as shown in the figure. (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²) The y component of the electric field,at the origin O,is closest to

Three +3.0-μC point charges are at the three corners of a square of side 0.50 m. The last corner is occupied by a -3.0-μC charge. Find the magnitude of the electric field at the center of the square. (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

Three equal negative point charges are placed at three of the corners of a square of side d.What is the magnitude of the net electric field at the center of the square? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

A small sphere with a mass of 441 g is moving upward along the vertical +y-axis when it encounters an electric field of 5.00 N/C . If,due to this field,the sphere suddenly acquires a horizontal acceleration of 13.0 m/s² ,what is the charge that it carries?

Two point charges Q₁ and Q₂ of equal magnitudes and opposite signs are positioned as shown in the figure.Which of the arrows best represents the net electric field at point P due to these two charges?

A small glass bead has been charged to 8.0 nC.What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)

The electric field 1.5 cm from a very small charged object points toward the object with a magnitude of 180,000 N/C.What is the charge on the object? (k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C²)