Q: A proton and an electron are separated by a distance of $$1.0 \ \mathrm{nm}. $$What is the magnitude of the electrostatic force between them? (Given: $$e = 1.6 \times 10$$^{-19}$$ \ \mathrm{C}$$, $$k = 8.99 \times 10^9$ \ \mathrm{N \cdot m^2$/C^2$$}$$, 1$$ \ \mathrm{nm} = 1 \times $$10^{-9}$$ \ \mathrm{m}$)

$$2.3 \times 10$$^{-9}$$ \ \mathrm{N}$$

Q: A $$+3.0\ \mu\mathrm{C}$$ charge is placed at the origin. What is the electric potential at a point $$0.2\ \mathrm{m}$$ away? (Take $$k = 8.99 \times 10^9$\ \mathrm{N \cdot m^2$/C^2$$}$)

$$1.35 \times 10^5$\ \mathrm{V}$$

Q: A $$+1.0\ \mu\mathrm{C}$$ charge is moved from a point at $$V = 100\ \mathrm{V} to a $$point at $$V = 0\ \mathrm{V}. $$What is the change in potential energy?

$$1.0 \times 10$$^{-6}$$\ \mathrm{J}$$

Q: A $$-2.0\ \mu\mathrm{C}$$ charge is placed at the center of a cube. What is the electric flux through one face of the cube?

$$-3.8 \times 10^2$\ \mathrm{N \cdot m^2$/C}$$

Q: A $$+2.0\ \mu\mathrm{C}$$ charge is moved $$0.5\ \mathrm{m} in $$the direction of a uniform electric field of $$1000\ \mathrm{N/C}. $$What is the change in potential energy?

$$1.0 \times 10$$^{-3}$$\ \mathrm{J}$$

Question 1

A proton and an electron are separated by a distance of $$1.0 \ \mathrm{nm}. $$What is the magnitude of the electrostatic force between them? (Given: $$e = 1.6 	imes 10$$^{-19}$$ \ \mathrm{C}$$, $$k = 8.99 	imes 10^9$ \ \mathrm{N \cdot m^2$/C^2$$}$$, 1$$ \ \mathrm{nm} = 1 	imes $$10^{-9}$$ \ \mathrm{m}$)

Accepted Answer

$$2.3 	imes 10$$^{-9}$$ \ \mathrm{N}$$

Question 2

Which of the following statements about electric field lines is CORRECT?

Accepted Answer

The density of field lines is proportional to the magnitude of the electric field.

Question 3

A point charge $$q is $$placed at the center of a spherical conducting shell. What is the net electric flux through the shell?

Accepted Answer

$$q/\$$varepsilon_0$$

Question 4

Two point charges, $$+2\ \mu\mathrm{C}$$ and $$-2\ \mu\mathrm{C}$$, are separated by $$0.5\ \mathrm{m}. $$What is the electric field at the midpoint between them?

Accepted Answer

$$0\ \mathrm{N/C}$$

Question 5

A $$1.0\ \mathrm{C}$$ charge is moved through a potential difference of $$12\ \mathrm{V}. $$How much work is done by the electric field?

Accepted Answer

$$12\ \mathrm{J}$$

Question 6

Which of the following is TRUE about equipotential surfaces?

Accepted Answer

No work is required to move a charge along an equipotential surface.

Question 7

A $$+3.0\ \mu\mathrm{C}$$ charge is placed at the origin. What is the electric potential at a point $$0.2\ \mathrm{m}$$ away? (Take $$k = 8.99 	imes 10^9$\ \mathrm{N \cdot m^2$/C^2$$}$)

Accepted Answer

$$1.35 	imes 10^5$\ \mathrm{V}$$

Question 8

A $$2.0\ \mathrm{g}$$ particle with charge $$+1.0\ \mu\mathrm{C} is $$released from rest in a uniform electric field of $$500\ \mathrm{N/C}. $$What is its acceleration?

Accepted Answer

$$250,000\ \mathrm{m/s^2$}$$

Question 9

Which of the following best describes the relationship between electric potential and electric field in a uniform field?

Accepted Answer

$$E = -\frac{\Delta V}{d}$$

Question 10

A $$+1.0\ \mu\mathrm{C}$$ charge is moved from a point at $$V = 100\ \mathrm{V} to a $$point at $$V = 0\ \mathrm{V}. $$What is the change in potential energy?

Accepted Answer

$$1.0 	imes 10$$^{-6}$$\ \mathrm{J}$$

Question 11

Which of the following is a correct statement about Gauss’s Law?

Accepted Answer

The net electric flux through a closed surface depends only on the charge enclosed.

Question 12

A $$-2.0\ \mu\mathrm{C}$$ charge is placed at the center of a cube. What is the electric flux through one face of the cube?

Accepted Answer

$$-3.8 	imes 10^2$\ \mathrm{N \cdot m^2$/C}$$

Question 13

Which of the following is NOT a rule for drawing electric field lines?

Accepted Answer

Field lines can start or end at any point in space.

Question 14

A $$+5.0\ \mu\mathrm{C}$$ charge and a $$-5.0\ \mu\mathrm{C}$$ charge are placed $$0.1\ \mathrm{m}$$ apart. What is the electric potential at the midpoint between them?

Accepted Answer

$$0\ \mathrm{V}$$

Question 15

A small positive test charge is placed at a point where the electric field is nonzero. In which direction does the force on the test charge point?

Accepted Answer

In the direction of the electric field.

Question 16

A $$+2.0\ \mu\mathrm{C}$$ charge is moved $$0.5\ \mathrm{m} in $$the direction of a uniform electric field of $$1000\ \mathrm{N/C}. $$What is the change in potential energy?

Accepted Answer

$$1.0 	imes 10$$^{-3}$$\ \mathrm{J}$$

Question 17

Which of the following statements about the potential difference in a conservative electric field is correct?

Accepted Answer

The potential difference is independent of the path taken between two points.

Question 18

Three point charges are placed at the vertices of an equilateral triangle. Which principle would you use to find the net electric field at the center?

Accepted Answer

Principle of Superposition

Question 19

A point charge $$q is $$placed near a large conducting plane. How do the electric field lines behave near the surface of the conductor?

Accepted Answer

They meet the surface perpendicularly.

Question 20

A $$+1.0\ \mu\mathrm{C}$$ charge is placed at $$x = 0$$, and a $$-2.0\ \mu\mathrm{C}$$ charge is placed at $$x = 1.0\ \mathrm{m}. $$What is the electric potential at $$x = 0.5\ \mathrm{m}$$? (Take $$k = 8.99 	imes 10^9$\ \mathrm{N \cdot m^2$/C^2$$}$)

Accepted Answer

$$-8.99 	imes 10^3$\ \mathrm{V}$$

Electric Forces, Fields, and Potential: Study Guide for Chapters 21–23

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