Q: In a circuit, 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 resistors, $$R_1 = 4$$\,\Omega$$ and R_2$ = 6\,\Omega$$, are connected in parallel. What is their equivalent resistance?

$$R_{\text{eq}} = 2.4\,\Omega$$

Q: A circuit contains a battery, two resistors ($$R_1$$ and $$R_2) in $$parallel, and a third resistor ($$R_3) in $$series with the parallel combination. Which equation gives the total resistance?

$$R_{\text{total}} = \left(\dfrac{1}{R_1$} + \dfrac{1}{R_2$}\$$right)^{-1}$$ + R_3$

Question 1

A parallel-plate capacitor is constructed with plates of area $$A$$ separated by a distance $$d. If a $$dielectric with dielectric constant $$\kappa is $$inserted between the plates, which equation correctly gives the capacitance?

Accepted Answer

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

Question 2

A capacitor stores energy according to which equation?

Accepted Answer

$$U = \dfrac{1}{2}CV^2$

Question 3

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

Accepted Answer

$$0.1\,	ext{J}$$

Question 4

Which of the following statements about dielectrics is TRUE?

Accepted Answer

Dielectrics increase the capacitance by allowing more charge to be stored for the same voltage.

Question 5

A resistor has a resistance of $$R$$ and is connected to a battery of voltage $$V. $$What is the current through the resistor?

Accepted Answer

$$I = \dfrac{V}{R}$$

Question 6

Which equation relates current density $$J$$, conductivity $$\sigma$$, and electric field $$E$$?

Accepted Answer

$$J = \sigma E$$

Question 7

A copper wire has a cross-sectional area $$A$$ and length $$L. $$Its resistivity is $$\rho. $$What is its resistance?

Accepted Answer

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

Question 8

In a circuit, 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 9

Two resistors, $$R_1 = 4$$\,\Omega$$ and R_2$ = 6\,\Omega$$, are connected in parallel. What is their equivalent resistance?

Accepted Answer

$$R_{	ext{eq}} = 2.4\,\Omega$$

Question 10

A circuit contains a battery of $$12\,	ext{V}$$ and three resistors in series: $$2\,\Omega$$, $$3\,\Omega$$, and $$5\,\Omega. $$What is the current through the circuit?

Accepted Answer

$$1.0\,	ext{A}$$

Question 11

Which statement about Kirchhoff’s Junction Rule is correct?

Accepted Answer

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

Question 12

A circuit contains a battery, two resistors ($$R_1$$ and $$R_2) in $$parallel, and a third resistor ($$R_3) in $$series with the parallel combination. Which equation gives the total resistance?

Accepted Answer

$$R_{	ext{total}} = \left(\dfrac{1}{R_1$} + \dfrac{1}{R_2$}\$$right)^{-1}$$ + R_3$

Question 13

A $$20\,\mu	ext{F}$$ capacitor and a $$10\,\mu	ext{F}$$ capacitor are connected in series. What is their equivalent capacitance?

Accepted Answer

$$6.67\,\mu	ext{F}$$

Question 14

A $$12\,	ext{V}$$ battery is connected to a circuit with a $$4\,\Omega$$ resistor and a $$6\,\Omega$$ resistor in parallel. What is the total current supplied by the battery?

Accepted Answer

$$5.0\,	ext{A}$$

Question 15

In an RC circuit, the time constant $$	au is $$given by which equation?

Accepted Answer

$$	au = RC$$

Question 16

A $$100\,\Omega$$ resistor and a $$10\,\mu	ext{F}$$ capacitor are connected in series to a $$10\,	ext{V}$$ battery. What is the initial current when the switch is closed?

Accepted Answer

$$0.1\,	ext{A}$$

Question 17

Which of the following best describes the drift velocity of electrons in a typical metal wire carrying current?

Accepted Answer

It is much less than the speed of light.

Question 18

A $$5\,\Omega$$ resistor dissipates $$20\,	ext{W} of $$power. What is the current through the resistor?

Accepted Answer

$$4\,	ext{A}$$

Question 19

A circuit contains a battery, a resistor, and a capacitor in series. After a long time, what is the voltage across the capacitor?

Accepted Answer

Equal to the battery voltage

Physics with Calculus: Capacitance, Current, Circuits, and RC Circuits Study Guide

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