Q: Which of the following is the correct value for the charge of a single electron?

$$-1.602 \times 10$$^{-19}$$\ \mathrm{C}$$

Q: Three charges are placed at the following coordinates: $$q_1 = +1.5$$ \times $$10^{-3}$$\ \mathrm{C}$$ at (0$$,0)$$, q_2$ = -0.5 \times 10$$^{-3}$$\ \mathrm{C} at$$ $$(0,0.5)$$, and $$q_3 = +0.2$$ \times $$10^{-3}$$\ \mathrm{C}$$ at (-1.2$$,0)$$. What is the direction of the net force on q_3$?

In the first quadrant, making an angle $$\theta = \tan$$^{-1}$$\left(\frac{3600}{1880}\right)$$ with the $$x-$$axis

Question 1

Which of the following statements best describes the difference between a scalar and a vector quantity?

Accepted Answer

A vector has both magnitude and direction, while a scalar has only magnitude.

Question 2

Given two points in the Cartesian plane at $$(0,0)$$ and $$(3,4)$$, what is the magnitude of the displacement vector from the origin to $$(3,4)$$?

Accepted Answer

$$5$$

Question 3

A bird flies east at $$8\ \mathrm{m/s}$$ while a wind blows north at $$6\ \mathrm{m/s}. $$What is the bird's speed relative to the ground?

Accepted Answer

$$10\ \mathrm{m/s}$$

Question 4

Which of the following best describes the law of conservation of charge?

Accepted Answer

The net charge in an isolated system is conserved; charge cannot be created or destroyed.

Question 5

What happens to a rubber rod when it is rubbed with fur, given that the fur becomes positively charged?

Accepted Answer

The rod gains electrons and gains weight.

Question 6

Which of the following materials is a good conductor of electricity?

Accepted Answer

Copper

Question 7

A neutral atom becomes a negative ion when it:

Accepted Answer

Gains electrons

Question 8

Which of the following is the correct value for the charge of a single electron?

Accepted Answer

$$-1.602 	imes 10$$^{-19}$$\ \mathrm{C}$$

Question 9

Which of the following best explains why a charged object can attract a neutral insulator?

Accepted Answer

The insulator becomes polarized, with opposite charges induced on its near and far sides.

Question 10

According to Coulomb’s Law, what is the magnitude of the force between two point charges $$q_1$$ and $$q_2$$ separated by a distance $$r$$?

Accepted Answer

$$F = k \frac{q_1$ q_2$}{r^2$}$$

Question 11

If two charges of $$+2\ \mathrm{C}$$ and $$-3\ \mathrm{C}$$ are placed $$0.5\ \mathrm{m}$$ apart in vacuum, what is the direction of the force on the $$+2\ \mathrm{C}$$ charge?

Accepted Answer

Toward the $$-3\ \mathrm{C}$$ charge

Question 12

A $$+1.0 	imes 10$$^{-6}$$\ \mathrm{C}$$ charge and a $$-2.0 	imes 10$$^{-6}$$\ \mathrm{C}$$ charge are $$0.2\ \mathrm{m}$$ apart. What is the magnitude of the force between them? (Use $$k = 8.99 	imes 10^9$\ \mathrm{N\cdot m^2$/C^2$$}$)

Accepted Answer

$$0.90\ \mathrm{N}$$

Question 13

Which of the following best describes the process of charging a metal ball by induction?

Accepted Answer

A charged object is brought near, causing charge separation, and then the ball is grounded to allow charge transfer.

Question 14

A neutral lithium atom has 3 protons, 4 neutrons, and 3 electrons. What is its net charge?

Accepted Answer

$$0\ \mathrm{C}$$

Question 15

If a glass rod is rubbed with silk and becomes positively charged, what happens at the atomic level?

Accepted Answer

The glass rod loses electrons to the silk.

Question 16

Which of the following is the correct unit for electric charge in the SI system?

Accepted Answer

Coulomb

Question 17

Three charges are placed at the following coordinates: $$q_1 = +1.5$$ 	imes $$10^{-3}$$\ \mathrm{C}$$ at (0$$,0)$$, q_2$ = -0.5 	imes 10$$^{-3}$$\ \mathrm{C} at$$ $$(0,0.5)$$, and $$q_3 = +0.2$$ 	imes $$10^{-3}$$\ \mathrm{C}$$ at (-1.2$$,0)$$. What is the direction of the net force on q_3$?

Accepted Answer

In the first quadrant, making an angle $$	heta = 	an$$^{-1}$$\left(\frac{3600}{1880}ight)$$ with the $$x-$$axis

Question 18

Which of the following best describes the difference between conductors and insulators?

Accepted Answer

Conductors allow easy movement of charge, while insulators do not.

Question 19

A student rubs a plastic rod with fur and brings it near small pieces of paper. The paper is attracted to the rod. Which principle explains this observation?

Accepted Answer

The paper is polarized by the electric field of the rod.

Electric Charge and Coulomb’s Law: Physics with Calculus Study Notes

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