Q: A proton and an electron are separated by a distance of $$1.0 \ \text{nm}. $$What is the magnitude of the electrostatic force between them? (Use $$k = 8.99 \times 10^9$ \ \text{N} \cdot \text{m}^2/\text{C}^2$$, $$e = 1.60 \times 10$$^{-19}$$ \ \text{C})$$

$$1.44 \times 10$$^{-10}$$ \ \text{N}$$

Q: Three resistors $$R_1$$, $$R_2$$, and $$R_3$$ are connected in series. What is the total resistance?

$$R_{\text{total}} = R_1$ + R_2$ + R_3$

Q: Two capacitors $$C_1$$ and $$C_2$$ are connected in parallel. What is the total capacitance?

$$C_{\text{total}} = C_1$ + C_2$

Question 1

A proton and an electron are separated by a distance of $$1.0 \ 	ext{nm}. $$What is the magnitude of the electrostatic force between them? (Use $$k = 8.99 	imes 10^9$ \ 	ext{N} \cdot 	ext{m}^2/	ext{C}^2$$, $$e = 1.60 	imes 10$$^{-19}$$ \ 	ext{C})$$

Accepted Answer

$$1.44 	imes 10$$^{-10}$$ \ 	ext{N}$$

Question 2

Which statement best describes Gauss’s law?

Accepted Answer

The net electric flux through any closed surface is proportional to the total charge enclosed by that surface.

Question 3

A metal sphere is placed in a uniform electric field. What happens to the electric field inside the sphere?

Accepted Answer

The electric field inside the sphere is zero.

Question 4

What is the electric potential at a distance $$r$$ from a point charge $$Q$$?

Accepted Answer

$$V = \frac{kQ}{r}$$

Question 5

A parallel plate capacitor with plates of area $$A$$ and separation $$d is $$filled with a dielectric of dielectric constant $$\kappa. $$What is the capacitance?

Accepted Answer

$$C = \kappa \$$varepsilon_0$$ \frac{A}{d}$$

Question 6

Which of the following best describes the relationship between electric potential difference and electric field?

Accepted Answer

$$\Delta V = - \int \vec{E} \cdot d\vec{s}$$

Question 7

A resistor has a resistance of $$10 \ \Omega$$ and a current of $$2 \ 	ext{A}$$ flows through it. What is the voltage across the resistor?

Accepted Answer

$$20 \ 	ext{V}$$

Question 8

Which equation defines resistivity $$\rho$$?

Accepted Answer

$$\rho = R \frac{A}{L}$$

Question 9

A battery with EMF $$\mathcal{E}$$ and internal resistance $$r is $$connected to a load resistor $$R. $$What is the terminal voltage?

Accepted Answer

$$V = \mathcal{E} - Ir$$

Question 10

Three resistors $$R_1$$, $$R_2$$, and $$R_3$$ are connected in series. What is the total resistance?

Accepted Answer

$$R_{	ext{total}} = R_1$ + R_2$ + R_3$

Question 11

Two capacitors $$C_1$$ and $$C_2$$ are connected in parallel. What is the total capacitance?

Accepted Answer

$$C_{	ext{total}} = C_1$ + C_2$

Question 12

In an RC circuit, the charge $$q on $$the capacitor as a function of time $$t$$ during charging is given by:

Accepted Answer

$$q(t) = Q \left(1 - e$$^{-t/RC}$$\right)$$

Question 13

A circuit contains a $$12 \ 	ext{V}$$ battery, a $$4 \ \Omega$$ resistor, and a $$2 \ \Omega$$ internal resistance. What is the current in the circuit?

Accepted Answer

$$2 \ 	ext{A}$$

Question 14

Which of the following is NOT a property of conductors in electrostatic equilibrium?

Accepted Answer

The electric field inside the conductor is nonzero.

Question 15

A $$10 \ \mu	ext{F}$$ capacitor is charged to $$100 \ 	ext{V}. $$How much energy is stored in the capacitor?

Accepted Answer

$$0.05 \ 	ext{J}$$

Question 16

Which of the following is a correct statement of Kirchhoff’s junction rule?

Accepted Answer

The sum of currents entering a junction equals the sum of currents leaving the junction.

Question 17

A wire of length $$L$$ and cross-sectional area $$A$$ has resistance $$R. If $$the wire is stretched to double its length and its volume remains constant, what is the new resistance?

Accepted Answer

$$4R$$

Question 18

Which of the following best describes the effect of a dielectric on a capacitor?

Accepted Answer

It increases the capacitance by a factor equal to the dielectric constant.

Question 19

A $$5 \ \Omega$$ resistor and a $$10 \ \Omega$$ resistor are connected in parallel. What is the equivalent resistance?

Accepted Answer

$$\frac{10}{3} \ \Omega$$

Question 20

A $$100 \ \Omega$$ resistor is connected to a $$10 \ 	ext{V}$$ battery. How much power is dissipated in the resistor?

Accepted Answer

$$1 \ 	ext{W}$$

Exam 1 Study Guide: Electricity and Circuits (Chapters 16–19)

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