Question 1

Charges of 4.0 µC and -6.0 µC are placed at two corners of an equilateral triangle with sides of 0.10 m.At the third corner, what is the electric field magnitude created by these two charges? (k_e = 8.99 * 10⁹ N·m²/C²)

Accepted Answer

The answer of Charges of 4.0 µC and -6.0 µC...

Question 2

In x-ray machines, electrons are subjected to electric fields as great as 6.0 * 10⁵ N/C.Find an electron's acceleration in this field.(m_e = 9.11 * 10^-31 kg, e = 1.6 * 10^-19 C)

Accepted Answer

The answer of In x-ray machines, electrons are subjected to...

Question 3

Two electrons are separated by one cm. What is the ratio of the electric force to the gravitational force between them? (m_e = 9.11 * 10^-31kg, k_e = 8.99 * 10⁹ N*m²/C², G = 6.67 * 10^-11 N*m²/kg², and e = 1.6 * 10^-19 C)

Accepted Answer

The answer of Two electrons are separated by one cm....

Question 4

Two point charges are placed along a horizontal axis with the following values and positions: +3.0 µC at x = 0 cm and -7.0 µC at x = 20 cm. At what point along the x axis is the electric field zero?

Accepted Answer

We can use the formula for electric field due to point charges, E=kQ/r^2. 
Setting the electric fields due to the two charges equal to each other and solving for x gives: 
k(3.0 µC)/(x-0)^2 = k(7.0 µC)/(20 cm - x)^2 
Simplifying and solving for x gives x = -38 cm or 38 cm. 
However, negative x values indicate the point is to the left of the positive charge, so the answer is x = -38 cm.

Question 5

Two charges, +Q and -Q, are located two meters apart and there is a point along the line that is equidistant from the two charges as indicated. Which vector best represents the direction of the electric field at that point?

Accepted Answer

The answer of Two charges, +Q and -Q, are located...

Question 6

Two point charges are separated by 10.0 cm and have charges of +2.00 µC and -2.00 µC, respectively.What is the electric field at a point midway between the two charges? (k_e = 8.99 * 10⁹ N·m²/C²)

Accepted Answer

Using the formula for electric field due to a point charge: 
E = (k|Q|)/r^2 
where k is Coulomb's constant, Q is the charge and r is the distance from the point charge.

At the midpoint, the distance from each charge is 5 cm. Therefore, the electric field due to each charge is:

E1 = (8.99 × 10^9 N·m^2/C^2) × (2.00 × 10^-6 C) / (0.05 m)^2 = 7.19 × 10^4 N/C 
E2 = (8.99 × 10^9 N·m^2/C^2) × (2.00 × 10^-6 C) / (0.05 m)^2 = 7.19 × 10^4 N/C

The electric fields are in opposite directions, so we must subtract to find the net electric field:

E = E1 - E2 = 0

Therefore, the electric field at the midpoint is zero. The correct choice is B.

Question 7

A 6.0 mC charge is placed at the origin and a second charge is placed on the x-axis at x = 0.30 m.If the resulting force on the second charge is 5.4 N in the positive x-direction, what is the value of its charge?

Accepted Answer

The answer of A 6.0 mC charge is placed at...

Question 8

An electron with a speed of 2.0 * 10⁶ m/s moves into a uniform electric field of 500 N/C that is parallel to the electron's motion.How long does it take to bring the electron to rest? (m_e= 9.11 * 10^-31 kg, e = 1.6 * 10^-19 C)

Accepted Answer

The answer of An electron with a speed of 2.0...

Question 9

Two equal charges, each Q, are separated by some distance. What third charge would need to be placed half way between the two charges so that the net force on each charge would be zero?

Accepted Answer

The answer of Two equal charges, each Q, are separated...

Question 10

An electron with a charge value of 1.6 * 10^-19 C is moving in the presence of an electric field of 400 N/C.What force does the electron experience?

Accepted Answer

The answer of An electron with a charge value of...

Question 11

The average distance of the electron from the proton in the hydrogen atom is 0.51 * 10^-10 m.What is the electric field from the proton's charge at the location of the electron? (k_e = 8.99 * 10⁹ N*m²/C², e = 1.6 * 10^-19 C)

Accepted Answer

The answer of The average distance of the electron from...

Question 12

A charge of +2 C is at the origin.When charge Q is placed at 2 m along the positive x axis, the electric field at 2 m along the negative x axis becomes zero.What is the value of Q?

Accepted Answer

The answer of A charge of +2 C is at...

Question 13

Electric field is dimensionally equivalent to which of the following?

Accepted Answer

Electric field has dimensions of force per unit charge, which is equivalent to Newtons per Coulomb (N/C). The other options have additional or incorrect dimensions.

Question 14

A proton initially moves left to right long the x axis at a speed of 2.00 * 10³m/s.It moves into an electric field, which points in the negative x direction, and travels a distance of 0.200 m before coming to rest.If the proton's mass and charge are 1.67 * 10^-27kg and 1.60 * 10^-19C respectively, what is the magnitude of the electric field?

Accepted Answer

The force on a charged particle in an electric field is given by F = qE, where q is the charge of the particle and E is the electric field strength.

Since the proton comes to rest, the electric force on it must be equal in magnitude and opposite in direction to its initial momentum.

Using conservation of energy, we can relate the initial kinetic energy of the proton to the work done by the electric field in bringing it to rest:

(1/2)mv^2 = qEd

where m is the mass of the proton, v is its initial speed, q is its charge, E is the magnitude of the electric field, and d is the distance it travels before coming to rest.

Plugging in the given values, we find:

(1/2)(1.67 × 10^-27 kg)(2.00 × 10^13 m/s)^2 = (1.60 × 10^-19 C)E(0.200 m)

Solving for E, we get:

E = (1/0.200)(1/1.60) × (1/2.00)^2 × 2.00 × 10^4

E = 0.104 N/C

Therefore, the answer is (C).

Question 15

A 6.00 mC charge is placed at the origin and a second charge is placed on the x-axis at x = 0.300 m.If the resulting force on the second charge is 6.40 N in the positive x-direction, what is the force on the charge at the origin?

Accepted Answer

The force on the charge at the origin is equal in magnitude but opposite in direction to the force on the second charge. This is due to the fact that the force between two charges is always equal and opposite. Therefore, the force on the charge at the origin is 6.40 N in the negative x-direction.

Question 16

The beam of electrons that hits the screen of an oscilloscope is moved up and down by:

Accepted Answer

The beam of electrons is moved up and down by electrical charges on deflecting plates. The plates are charged with a varying voltage that deflects the beam horizontally and vertically, creating a pattern on the screen.

Question 17

A proton initially moves left to right long the x axis at a speed of 2.00 * 10³ m/s.It moves into an electric field, which points in the negative x direction, and travels a distance of 0.200 m before coming to rest.What acceleration magnitude does the proton experience?

Accepted Answer

The answer of A proton initially moves left to right...

Question 18

In a thundercloud there may be an electric charge of +40 C near the top of the cloud and -40 C near the bottom of the cloud.These charges are separated by about 2.0 km.What is the electric force between these two sets of charges? (k_e = 8.99 * 10⁹ N·m²/C²)

Accepted Answer

The answer of In a thundercloud there may be an...

Question 19

Two point charges each have a value of 30.0 mC and are separated by a distance of 4.00 cm.What is the electric field midway between the two charges? (k_e = 8.99 * 10⁹ N·m²/C²)

Accepted Answer

By symmetry, the electric field at the midpoint would be zero as the electric fields due to the two charges would cancel each other out.

Question 20

An electron is sent at high speed toward a gold nucleus (charge +79e).What is the electrical force acting on the electron when it is 3.0 * 10^-14 m away from the gold nucleus? (e = 1.6 * 10^-19 C, k_e = 8.99 * 10⁹ N·m²/C²)

Accepted Answer

The answer of An electron is sent at high speed...

Quiz 15: Electric Forces and Electric Fields

Charges of 4.0 µC and -6.0 µC are placed at two corners of an equilateral triangle with sides of 0.10 m.At the third corner, what is the electric field magnitude created by these two charges? (k_e = 8.99 * 10⁹ N·m²/C²)

In x-ray machines, electrons are subjected to electric fields as great as 6.0 * 10⁵ N/C.Find an electron's acceleration in this field.(m_e = 9.11 * 10^-31 kg, e = 1.6 * 10^-19 C)

Two electrons are separated by one cm. What is the ratio of the electric force to the gravitational force between them? (m_e = 9.11 * 10^-31kg, k_e = 8.99 * 10⁹ Nm²/C², G = 6.67 10^-11 Nm²/kg², and e = 1.6 10^-19 C)

Two point charges are placed along a horizontal axis with the following values and positions: +3.0 µC at x = 0 cm and -7.0 µC at x = 20 cm. At what point along the x axis is the electric field zero?

Two charges, +Q and -Q, are located two meters apart and there is a point along the line that is equidistant from the two charges as indicated. Which vector best represents the direction of the electric field at that point?

Two point charges are separated by 10.0 cm and have charges of +2.00 µC and -2.00 µC, respectively.What is the electric field at a point midway between the two charges? (k_e = 8.99 * 10⁹ N·m²/C²)

A 6.0 mC charge is placed at the origin and a second charge is placed on the x-axis at x = 0.30 m.If the resulting force on the second charge is 5.4 N in the positive x-direction, what is the value of its charge?

An electron with a speed of 2.0 * 10⁶ m/s moves into a uniform electric field of 500 N/C that is parallel to the electron's motion.How long does it take to bring the electron to rest? (m_e= 9.11 * 10^-31 kg, e = 1.6 * 10^-19 C)

Two equal charges, each Q, are separated by some distance. What third charge would need to be placed half way between the two charges so that the net force on each charge would be zero?

An electron with a charge value of 1.6 * 10^-19 C is moving in the presence of an electric field of 400 N/C.What force does the electron experience?

The average distance of the electron from the proton in the hydrogen atom is 0.51 * 10^-10 m.What is the electric field from the proton's charge at the location of the electron? (k_e = 8.99 * 10⁹ Nm²/C², e = 1.6 10^-19 C)

A charge of +2 C is at the origin.When charge Q is placed at 2 m along the positive x axis, the electric field at 2 m along the negative x axis becomes zero.What is the value of Q?

Electric field is dimensionally equivalent to which of the following?

A 6.00 mC charge is placed at the origin and a second charge is placed on the x-axis at x = 0.300 m.If the resulting force on the second charge is 6.40 N in the positive x-direction, what is the force on the charge at the origin?

The beam of electrons that hits the screen of an oscilloscope is moved up and down by:

A proton initially moves left to right long the x axis at a speed of 2.00 * 10³ m/s.It moves into an electric field, which points in the negative x direction, and travels a distance of 0.200 m before coming to rest.What acceleration magnitude does the proton experience?

In a thundercloud there may be an electric charge of +40 C near the top of the cloud and -40 C near the bottom of the cloud.These charges are separated by about 2.0 km.What is the electric force between these two sets of charges? (k_e = 8.99 * 10⁹ N·m²/C²)

Two point charges each have a value of 30.0 mC and are separated by a distance of 4.00 cm.What is the electric field midway between the two charges? (k_e = 8.99 * 10⁹ N·m²/C²)

An electron is sent at high speed toward a gold nucleus (charge +79e) .What is the electrical force acting on the electron when it is 3.0 * 10^-14 m away from the gold nucleus? (e = 1.6 * 10^-19 C, k_e = 8.99 * 10⁹ N·m²/C²)

Quiz 15: Electric Forces and Electric Fields

Charges of 4.0 µC and -6.0 µC are placed at two corners of an equilateral triangle with sides of 0.10 m.At the third corner, what is the electric field magnitude created by these two charges? (ke = 8.99 * 109 N·m2/C2)

In x-ray machines, electrons are subjected to electric fields as great as 6.0 * 105 N/C.Find an electron's acceleration in this field.(me = 9.11 * 10-31 kg, e = 1.6 * 10-19 C)

Two electrons are separated by one cm. What is the ratio of the electric force to the gravitational force between them? (me = 9.11 * 10-31 kg, ke = 8.99 * 109 N*m2/C2, G = 6.67 * 10-11 N*m2/kg2, and e = 1.6 * 10-19 C)

Two point charges are placed along a horizontal axis with the following values and positions: +3.0 µC at x = 0 cm and -7.0 µC at x = 20 cm. At what point along the x axis is the electric field zero?

Two charges, +Q and -Q, are located two meters apart and there is a point along the line that is equidistant from the two charges as indicated. Which vector best represents the direction of the electric field at that point?

Two point charges are separated by 10.0 cm and have charges of +2.00 µC and -2.00 µC, respectively.What is the electric field at a point midway between the two charges? (ke = 8.99 * 109 N·m2/C2)

A 6.0 mC charge is placed at the origin and a second charge is placed on the x-axis at x = 0.30 m.If the resulting force on the second charge is 5.4 N in the positive x-direction, what is the value of its charge?

An electron with a speed of 2.0 * 106 m/s moves into a uniform electric field of 500 N/C that is parallel to the electron's motion.How long does it take to bring the electron to rest? (me = 9.11 * 10-31 kg, e = 1.6 * 10-19 C)

Two equal charges, each Q, are separated by some distance. What third charge would need to be placed half way between the two charges so that the net force on each charge would be zero?

An electron with a charge value of 1.6 * 10-19 C is moving in the presence of an electric field of 400 N/C.What force does the electron experience?

The average distance of the electron from the proton in the hydrogen atom is 0.51 * 10-10 m.What is the electric field from the proton's charge at the location of the electron? (ke = 8.99 * 109 N*m2/C2, e = 1.6 * 10-19 C)

A charge of +2 C is at the origin.When charge Q is placed at 2 m along the positive x axis, the electric field at 2 m along the negative x axis becomes zero.What is the value of Q?

Electric field is dimensionally equivalent to which of the following?

A 6.00 mC charge is placed at the origin and a second charge is placed on the x-axis at x = 0.300 m.If the resulting force on the second charge is 6.40 N in the positive x-direction, what is the force on the charge at the origin?

The beam of electrons that hits the screen of an oscilloscope is moved up and down by:

A proton initially moves left to right long the x axis at a speed of 2.00 * 103 m/s.It moves into an electric field, which points in the negative x direction, and travels a distance of 0.200 m before coming to rest.What acceleration magnitude does the proton experience?

In a thundercloud there may be an electric charge of +40 C near the top of the cloud and -40 C near the bottom of the cloud.These charges are separated by about 2.0 km.What is the electric force between these two sets of charges? (ke = 8.99 * 109 N·m2/C2)

Two point charges each have a value of 30.0 mC and are separated by a distance of 4.00 cm.What is the electric field midway between the two charges? (ke = 8.99 * 109 N·m2/C2)

An electron is sent at high speed toward a gold nucleus (charge +79e) .What is the electrical force acting on the electron when it is 3.0 * 10-14 m away from the gold nucleus? (e = 1.6 * 10-19 C, ke = 8.99 * 109 N·m2/C2)

Charges of 4.0 µC and -6.0 µC are placed at two corners of an equilateral triangle with sides of 0.10 m.At the third corner, what is the electric field magnitude created by these two charges? (k_e = 8.99 * 10⁹ N·m²/C²)

In x-ray machines, electrons are subjected to electric fields as great as 6.0 * 10⁵ N/C.Find an electron's acceleration in this field.(m_e = 9.11 * 10^-31 kg, e = 1.6 * 10^-19 C)

Two electrons are separated by one cm. What is the ratio of the electric force to the gravitational force between them? (m_e = 9.11 * 10^-31kg, k_e = 8.99 * 10⁹ Nm²/C², G = 6.67 10^-11 Nm²/kg², and e = 1.6 10^-19 C)

Two point charges are separated by 10.0 cm and have charges of +2.00 µC and -2.00 µC, respectively.What is the electric field at a point midway between the two charges? (k_e = 8.99 * 10⁹ N·m²/C²)

An electron with a speed of 2.0 * 10⁶ m/s moves into a uniform electric field of 500 N/C that is parallel to the electron's motion.How long does it take to bring the electron to rest? (m_e= 9.11 * 10^-31 kg, e = 1.6 * 10^-19 C)

An electron with a charge value of 1.6 * 10^-19 C is moving in the presence of an electric field of 400 N/C.What force does the electron experience?

The average distance of the electron from the proton in the hydrogen atom is 0.51 * 10^-10 m.What is the electric field from the proton's charge at the location of the electron? (k_e = 8.99 * 10⁹ Nm²/C², e = 1.6 10^-19 C)

A proton initially moves left to right long the x axis at a speed of 2.00 * 10³ m/s.It moves into an electric field, which points in the negative x direction, and travels a distance of 0.200 m before coming to rest.What acceleration magnitude does the proton experience?

In a thundercloud there may be an electric charge of +40 C near the top of the cloud and -40 C near the bottom of the cloud.These charges are separated by about 2.0 km.What is the electric force between these two sets of charges? (k_e = 8.99 * 10⁹ N·m²/C²)

Two point charges each have a value of 30.0 mC and are separated by a distance of 4.00 cm.What is the electric field midway between the two charges? (k_e = 8.99 * 10⁹ N·m²/C²)

An electron is sent at high speed toward a gold nucleus (charge +79e) .What is the electrical force acting on the electron when it is 3.0 * 10^-14 m away from the gold nucleus? (e = 1.6 * 10^-19 C, k_e = 8.99 * 10⁹ N·m²/C²)