Question 1

An electric dipole placed into a non-uniform electric field feels a net force

Accepted Answer

An electric dipole placed in a non-uniform electric field experiences a net force that tends to align the dipole parallel to the electric field lines. This is because different parts of the dipole are subjected to different magnitudes of electric field strength, creating a net force that aligns the dipole with the field direction.

Question 2

Two stationary point charges q₁ and q₂ are shown in Figure 15-4 the sketch along with some electric field lines representing the field between them. What can you deduce from the sketch?

Accepted Answer

The answer of Two stationary point charges q₁ and q₂...

Question 3

The electric field at the surface of a conductor is

Accepted Answer

The electric field at the surface of a conductor is perpendicular to the surface. This is because the charges on the surface of a conductor rearrange themselves in such a way that the electric field inside the conductor is zero, leading to the field lines being perpendicular at the surface to ensure no component of the field exists parallel to the surface, which would otherwise cause further movement of charges.

Question 4

Several electrons are placed on a hollow metal sphere. They

Accepted Answer

Electrons repel each other due to their negative charge. When placed on a hollow metal sphere, they distribute themselves as far apart as possible, resulting in a uniform distribution on the sphere's outer surface. This is due to the conductive nature of metal, which allows electrons to move freely.

Question 5

A solid block of metal is placed in a uniform electric field. Which statement is correct concerning the electric field in the block's interior?

Accepted Answer

In a conductor at electrostatic equilibrium, the electric field inside the material is zero because the free charges within the conductor rearrange themselves to cancel the external field within the bulk of the material.

Question 6

If a solid metal sphere and a hollow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the sphere center and the surface is

Accepted Answer

The electric field inside a conductor, whether solid or hollow, is zero due to the redistribution of charges on the surface, leaving no net electric field inside.

Question 7

To be more effective, how should one shape the tip of a lightning rod?

Accepted Answer

A pointed tip on a lightning rod is more effective because it concentrates the electric field, facilitating the initiation of a conductive path for the lightning to follow.

Question 8

Which of the following is an accurate statement?

Accepted Answer

In a conductor, charges are free to move. When a solid metal sphere carries a net charge, the charges repel each other and move to the surface of the sphere to minimize the repulsion, resulting in the charge being distributed on the surface.

Question 9

The statement that "the number of field lines passing through a surface is proportional to the net charge enclosed" is known as

Accepted Answer

This statement is a description of Gauss's Law, which is a key principle in electromagnetism stating that the electric flux through a closed surface is directly proportional to the charge enclosed by that surface.

Question 10

-Figure 15-5 shows four Gaussian surfaces surrounding a distribution of charges. Which Gaussian surfaces have an electric flux of +q/ _o through them?

Accepted Answer

The answer of 
-Figure 15-5 shows four Gaussian surfaces surrounding...

Question 11

-Figure 15-5 shows four Gaussian surfaces surrounding a distribution of charges. Which Gaussian surfaces have no electric flux through them?

Accepted Answer

The answer of 
-Figure 15-5 shows four Gaussian surfaces surrounding...

Question 12

Consider the x-axis with 4.0 μC at x = 1.0 meter and -2.0 μC at the origin. Where should 6.0 μC be placed so that the net force on it is zero?

Accepted Answer

The answer of Consider the x-axis with 4.0 μC at...

Question 13

Two volleyballs, each of mass 0.300 kg, are charged by an electrostatic generator. Each is attached to an identical string and suspended from the same point, as shown in Figure 15-6. They repel each other and hang with separation 50.0 cm. The length of the string from the point of support to the center of a ball is 250. cm.

Determine the charge on each ball.

Accepted Answer

The answer of Two volleyballs, each of mass 0.300 kg,...

Question 14

Consider a container of 2.0 grams of hydrogen (one gram mole) Suppose you removed all the electrons and moved them to the other side of the Earth (Earth diameter 12740. Km).
(a) How much charge is left behind? 
(b) What is the attractive force between the protons here and the electrons at the other side of the Earth?

Accepted Answer

The answer of Consider a container of 2.0 grams of...

Question 15

Charge +2q is placed at the origin and charge -q is placed at x = 2a. Where can a third positive charge +q be placed so that the force on it is zero?

Accepted Answer

The answer of Charge +2q is placed at the origin...

Question 16

A proton and electron are separated by 3.5 nm.
(a) What is the magnitude of the force on the electron?
(b) What is the magnitude of the force on the proton?
(c) What is the electric field of the proton at the electron position?

Accepted Answer

The answer of A proton and electron are separated by...

Question 17

The charge carried by one electron is e = -1.6 × 10^-19 C. The number of excess electrons necessary to produce a charge of 1.0 C is

Accepted Answer

To find the number of excess electrons needed to produce a charge of 1.0 C, divide the total charge by the charge of one electron: 1.0 C / 1.6 × 10^-19 C/electron = 6.25 × 10^18 electrons, which rounds to 6.3 × 10^18 electrons.

Question 18

A piece of plastic has a net charge of +2.00 $\mu$C. How many more protons than electrons does this piece of plastic have?

Accepted Answer

The answer of A piece of plastic has a net...

Question 19

Two point charges of magnitudes + 8.00 $\mu$C, and + 10.0 $\mu$C are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges?

Accepted Answer

For the third charge to experience no net force, it must be placed closer to the smaller charge due to the inverse square law of electrostatic force. The exact position can be found using the equation for electrostatic force, $F = k \frac{|q_1q_2|}{r^2}$, and setting the forces due to each charge equal to each other to solve for the position. The correct calculation leads to the position being 47.2 cm from the +8.00 $\mu$C charge, placing it between the two charges but closer to the smaller one.

Question 20

Two point charges of magnitude + 4.00 $\mu$C and - 6.00 $\mu$C are placed along the x-axis at x = 0 cm and x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net force because of the other two charges?

Accepted Answer

The answer of Two point charges of magnitude + 4.00...

Quiz 15: Electric Charge, Forces, and Fields

An electric dipole placed into a non-uniform electric field feels a net force

Two stationary point charges q₁ and q₂ are shown in Figure 15-4 the sketch along with some electric field lines representing the field between them. What can you deduce from the sketch?

The electric field at the surface of a conductor is

Several electrons are placed on a hollow metal sphere. They

A solid block of metal is placed in a uniform electric field. Which statement is correct concerning the electric field in the block's interior?

If a solid metal sphere and a hollow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the sphere center and the surface is

To be more effective, how should one shape the tip of a lightning rod?

Which of the following is an accurate statement?

The statement that "the number of field lines passing through a surface is proportional to the net charge enclosed" is known as

-Figure 15-5 shows four Gaussian surfaces surrounding a distribution of charges. Which Gaussian surfaces have an electric flux of +q/ _o through them?

-Figure 15-5 shows four Gaussian surfaces surrounding a distribution of charges. Which Gaussian surfaces have no electric flux through them?

Consider the x-axis with 4.0 μC at x = 1.0 meter and -2.0 μC at the origin. Where should 6.0 μC be placed so that the net force on it is zero?

Charge +2q is placed at the origin and charge -q is placed at x = 2a. Where can a third positive charge +q be placed so that the force on it is zero?

A proton and electron are separated by 3.5 nm. (a) What is the magnitude of the force on the electron? (b) What is the magnitude of the force on the proton? (c) What is the electric field of the proton at the electron position?

The charge carried by one electron is e = -1.6 × 10^-19 C. The number of excess electrons necessary to produce a charge of 1.0 C is

A piece of plastic has a net charge of +2.00 $\mu$ C. How many more protons than electrons does this piece of plastic have?

Two point charges of magnitudes + 8.00 $\mu$ C, and + 10.0 $\mu$ C are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges?

Two point charges of magnitude + 4.00 $\mu$ C and - 6.00 $\mu$ C are placed along the x-axis at x = 0 cm and x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net force because of the other two charges?

Quiz 15: Electric Charge, Forces, and Fields

An electric dipole placed into a non-uniform electric field feels a net force

Two stationary point charges q1 and q2 are shown in Figure 15-4 the sketch along with some electric field lines representing the field between them. What can you deduce from the sketch?

The electric field at the surface of a conductor is

Several electrons are placed on a hollow metal sphere. They

A solid block of metal is placed in a uniform electric field. Which statement is correct concerning the electric field in the block's interior?

If a solid metal sphere and a hollow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the sphere center and the surface is

To be more effective, how should one shape the tip of a lightning rod?

Which of the following is an accurate statement?

The statement that "the number of field lines passing through a surface is proportional to the net charge enclosed" is known as

-Figure 15-5 shows four Gaussian surfaces surrounding a distribution of charges. Which Gaussian surfaces have an electric flux of +q/ o through them?

-Figure 15-5 shows four Gaussian surfaces surrounding a distribution of charges. Which Gaussian surfaces have no electric flux through them?

Consider the x-axis with 4.0 μC at x = 1.0 meter and -2.0 μC at the origin. Where should 6.0 μC be placed so that the net force on it is zero?

Charge +2q is placed at the origin and charge -q is placed at x = 2a. Where can a third positive charge +q be placed so that the force on it is zero?

A proton and electron are separated by 3.5 nm. (a) What is the magnitude of the force on the electron? (b) What is the magnitude of the force on the proton? (c) What is the electric field of the proton at the electron position?

The charge carried by one electron is e = -1.6 × 10-19 C. The number of excess electrons necessary to produce a charge of 1.0 C is

A piece of plastic has a net charge of +2.00 μ\muμ C. How many more protons than electrons does this piece of plastic have?

Two point charges of magnitudes + 8.00 μ\muμ C, and + 10.0 μ\muμ C are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges?

Two point charges of magnitude + 4.00 μ\muμ C and - 6.00 μ\muμ C are placed along the x-axis at x = 0 cm and x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net force because of the other two charges?

Two stationary point charges q₁ and q₂ are shown in Figure 15-4 the sketch along with some electric field lines representing the field between them. What can you deduce from the sketch?

-Figure 15-5 shows four Gaussian surfaces surrounding a distribution of charges. Which Gaussian surfaces have an electric flux of +q/ _o through them?

The charge carried by one electron is e = -1.6 × 10^-19 C. The number of excess electrons necessary to produce a charge of 1.0 C is

A piece of plastic has a net charge of +2.00 $\mu$ C. How many more protons than electrons does this piece of plastic have?

Two point charges of magnitudes + 8.00 $\mu$ C, and + 10.0 $\mu$ C are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges?

Two point charges of magnitude + 4.00 $\mu$ C and - 6.00 $\mu$ C are placed along the x-axis at x = 0 cm and x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net force because of the other two charges?