Q: When adhesive tape is pulled from a dispenser, the detached tape has a net positive charge and the remaining tape in the dispenser acquires a negative charge. If the tape pulled has a charge of $$+1.8 \times 10$$^{-8}$$\ \mathrm{C}$$, how many electrons must be transferred from the pulled tape to the remaining tape?

$$1.1 \times 10$$^{11}$$ electrons

Q: The attractive electrostatic force between two point charges $$q_1 = 8.0$$ \times $$10^{-7}$$\ \mathrm{C}$$ and q_2$ has a magnitude of 0.87$$\ \mathrm{N}$$ when the charges are separated by 1.2$$\ \mathrm{m}$$. Find the sign and magnitude of the charge q_2$. (k = 8.99$$ \times $$10^9$$\ \mathrm{N\cdot $$m^2/C^2$}$)

$$-1.6 \times 10$$^{-6}$$\ \mathrm{C}$$

Q: Two point charges lie on the y-axis. A charge of $$4.0 \times 10$$^{-6}$$\ \mathrm{C} is at $$the origin and a charge of $$-4.5 \times 10$$^{-6}$$\ \mathrm{C} is at$$ $$y = 0.80\ \mathrm{m}. $$What is the net electric field at $$y = 0.40\ \mathrm{m}$$?

$$2.0 \times 10$$^{5}$$\ \mathrm{N/C}$$, upward

Q: A proton is released from rest in a uniform electric field of magnitude $$1.50 \times 10$$^{6}$$\ \mathrm{N/C}. $$What is the speed of the proton when it has traveled $$2.00\ \mathrm{cm}$$?

$$2.4 \times 10$$^{5}$$\ \mathrm{m/s}$$

Q: A $$2.0\ \mu\mathrm{C}$$ charge is placed at the center of a spherical conducting shell of inner radius $$0.10\ \mathrm{m}$$ and outer radius $$0.15\ \mathrm{m}. $$What is the electric field at a distance of $$0.12\ \mathrm{m}$$ from the center?

$$1.25 \times 10$$^{6}$$\ \mathrm{N/C}$$

Question 1

When adhesive tape is pulled from a dispenser, the detached tape has a net positive charge and the remaining tape in the dispenser acquires a negative charge. If the tape pulled has a charge of $$+1.8 	imes 10$$^{-8}$$\ \mathrm{C}$$, how many electrons must be transferred from the pulled tape to the remaining tape?

Accepted Answer

$$1.1 	imes 10$$^{11}$$ electrons

Question 2

The attractive electrostatic force between two point charges $$q_1 = 8.0$$ 	imes $$10^{-7}$$\ \mathrm{C}$$ and q_2$ has a magnitude of 0.87$$\ \mathrm{N}$$ when the charges are separated by 1.2$$\ \mathrm{m}$$. Find the sign and magnitude of the charge q_2$. (k = 8.99$$ 	imes $$10^9$$\ \mathrm{N\cdot $$m^2/C^2$}$)

Accepted Answer

$$-1.6 	imes 10$$^{-6}$$\ \mathrm{C}$$

Question 3

A sphere of radius $$8.0\ \mathrm{cm}$$ with a uniform surface charge density of $$1.8 	imes 10$$^{-6}$$\ \mathrm{C/m^2$}$$ produces an electrostatic force of $$0.36\ \mathrm{N} on a $$nearby point charge of $$1.0\ \mu\mathrm{C}. $$What is the distance of the charge from the center of the sphere?

Accepted Answer

$$0.18\ \mathrm{m}$$

Question 4

Two point charges lie on the y-axis. A charge of $$4.0 	imes 10$$^{-6}$$\ \mathrm{C} is at $$the origin and a charge of $$-4.5 	imes 10$$^{-6}$$\ \mathrm{C} is at$$ $$y = 0.80\ \mathrm{m}. $$What is the net electric field at $$y = 0.40\ \mathrm{m}$$?

Accepted Answer

$$2.0 	imes 10$$^{5}$$\ \mathrm{N/C}$$, upward

Question 5

A proton is released from rest in a uniform electric field of magnitude $$1.50 	imes 10$$^{6}$$\ \mathrm{N/C}. $$What is the speed of the proton when it has traveled $$2.00\ \mathrm{cm}$$?

Accepted Answer

$$2.4 	imes 10$$^{5}$$\ \mathrm{m/s}$$

Question 6

Why does a comb that has been rubbed through your hair attract small pieces of paper, even though the paper is uncharged?

Accepted Answer

The comb induces a separation of charge in the paper, creating an attractive force.

Question 7

Which of the following best describes the direction of the electric field created by a positive point charge?

Accepted Answer

Radially outward from the charge

Question 8

If the distance between two point charges is doubled, what happens to the magnitude of the electrostatic force between them?

Accepted Answer

It becomes one-fourth as large

Question 9

A $$2.0\ \mu\mathrm{C}$$ charge is placed at the center of a spherical conducting shell of inner radius $$0.10\ \mathrm{m}$$ and outer radius $$0.15\ \mathrm{m}. $$What is the electric field at a distance of $$0.12\ \mathrm{m}$$ from the center?

Accepted Answer

$$1.25 	imes 10$$^{6}$$\ \mathrm{N/C}$$

Question 10

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

Accepted Answer

Electric field lines never cross each other.

Question 11

A small object with charge $$q is $$placed in a uniform electric field $$E. $$What is the force on the object?

Accepted Answer

$$F = qE$$

Question 12

Which of the following best explains why the force between two charges is attractive if the charges are of opposite sign?

Accepted Answer

Opposite charges create electric fields that point toward each other, resulting in attraction.

Question 13

A $$1.0\ \mu\mathrm{C}$$ charge is placed $$0.50\ \mathrm{m}$$ from a $$-2.0\ \mu\mathrm{C}$$ charge. What is the magnitude of the force between them?

Accepted Answer

$$0.072\ \mathrm{N}$$

Question 14

If a neutral object is brought near a negatively charged rod, what happens to the charges in the neutral object?

Accepted Answer

Electrons in the object are repelled, causing the near side to become positively charged.

Question 15

Which of the following is the correct expression for Coulomb's Law?

Accepted Answer

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

Question 16

A $$5.0\ \mu\mathrm{C}$$ charge is placed in an electric field of $$2.0 	imes 10$$^{4}$$\ \mathrm{N/C}. $$What is the force on the charge?

Accepted Answer

$$0.10\ \mathrm{N}$$

Electric Charge and Electric Field: Discussion Worksheet Study Notes

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