Question 1

Which of the following best describes the relationship between electric potential energy ($$U) $$and electric potential ($$V) $$for a point charge $$q in an $$electric field?

Accepted Answer

$$U = qV$$

Question 2

A charge of $$2\$$times10^{-6}$$\ \mathrm{C} is $$moved from a point where the electric potential is $$100\ \mathrm{V} to a $$point where it is $$200\ \mathrm{V}. $$What is the change in electric potential energy?

Accepted Answer

$$2\$$times10^{-4}$$\ \mathrm{J}$$

Question 3

Which equation correctly expresses the work $$W$$ done by the electric force when moving a charge $$q$$ through a potential difference $$\Delta V$$?

Accepted Answer

$$W = -q\Delta V$$

Question 4

A $$5\ \mathrm{nC}$$ charge is moved from point A to point B in a uniform electric field. The potential at A is $$30\ \mathrm{V}$$ and at B is $$10\ \mathrm{V}. $$What is the work done by the electric field?

Accepted Answer

$$1.0\$$times10^{-7}$$\ \mathrm{J}$$

Question 5

Which of the following statements about electric potential is TRUE?

Accepted Answer

Electric potential is a scalar quantity and does not depend on the path taken.

Question 6

A $$3\ \mathrm{nC}$$ charge is placed in a region where the electric potential is $$500\ \mathrm{V}. $$What is its electric potential energy?

Accepted Answer

$$1.5\$$times10^{-6}$$\ \mathrm{J}$$

Question 7

If the electric field between two parallel plates is $$E = 2.0\$$times10^{3}$$\ \mathrm{N/C}$$ and the plates are $$0.05\ \mathrm{m}$$ apart, what is the potential difference between the plates?

Accepted Answer

$$100\ \mathrm{V}$$

Question 8

Which formula gives the electric potential $$V at a $$distance $$r$$ from a point charge $$Q$$?

Accepted Answer

$$V = \frac{1}{4\pi\$$epsilon_0$$} \frac{Q}{r}$$

Question 9

A $$1\ \mathrm{nC}$$ charge is moved from a point at $$V = 20\ \mathrm{V} to a $$point at $$V = 80\ \mathrm{V}. $$What is the change in potential energy?

Accepted Answer

$$6.0\$$times10^{-8}$$\ \mathrm{J}$$

Question 10

Which of the following is the correct expression for the electric field $$E in $$terms of the potential difference $$\Delta V$$ and distance $$d in a $$uniform field?

Accepted Answer

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

Question 11

A $$4\ \mathrm{nC}$$ charge is moved $$0.2\ \mathrm{m} in a $$uniform electric field of $$500\ \mathrm{N/C}. $$What is the work done by the field?

Accepted Answer

$$4.0\$$times10^{-7}$$\ \mathrm{J}$$

Question 12

Which of the following best explains why electric potential is considered a scalar quantity?

Accepted Answer

It has magnitude but no direction.

Question 13

A $$6\ \mathrm{nC}$$ charge is moved from a point at $$V = 10\ \mathrm{V} to a $$point at $$V = 50\ \mathrm{V}. $$What is the change in electric potential energy?

Accepted Answer

$$2.4\$$times10^{-7}$$\ \mathrm{J}$$

Question 14

Which of the following is TRUE about the work done by the electric force when moving a charge in an electric field?

Accepted Answer

It depends only on the initial and final positions, not the path taken.

Question 15

A $$2\ \mathrm{nC}$$ charge is moved $$0.1\ \mathrm{m} in a $$uniform electric field of $$300\ \mathrm{N/C}. $$What is the work done by the field?

Accepted Answer

$$6.0\$$times10^{-8}$$\ \mathrm{J}$$

Question 16

Which of the following correctly relates the change in electric potential energy $$\Delta U to $$the work $$W$$ done by the electric force?

Accepted Answer

$$\Delta U = -W$$

Question 17

A $$1\ \mathrm{nC}$$ charge is moved from a point at $$V = 0\ \mathrm{V} to a $$point at $$V = 100\ \mathrm{V}. $$What is the change in electric potential energy?

Accepted Answer

$$1.0\$$times10^{-7}$$\ \mathrm{J}$$

Question 18

Which of the following is the correct formula for the potential difference $$\Delta V$$ between two points separated by distance $$d in a $$uniform electric field $$E$$?

Accepted Answer

$$\Delta V = Ed$$

Question 19

A $$2\ \mathrm{nC}$$ charge is moved from a point at $$V = 30\ \mathrm{V} to a $$point at $$V = 80\ \mathrm{V}. $$What is the change in electric potential energy?

Accepted Answer

$$1.0\$$times10^{-7}$$\ \mathrm{J}$$

Electric Potential, Potential Energy, and Work in Electrostatics

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