Question 1

Which of the following statements is TRUE about resistors connected in series, as shown in the first image?

Accepted Answer

The same current flows through each resistor.

Question 2

Given two resistors, $$R_1$$ and $$R_2$$, connected in parallel as shown in the second image, what is the correct formula for the equivalent resistance $$R_{eq}$$?

Accepted Answer

$$R_{eq} = \frac{R_1$ R_2$}{R_1$ + R_2$}$$

Question 3

If three resistors of $$120\ \Omega$$, $$360\ \Omega$$, and $$120\ \Omega$$ are connected in series, what is their total resistance?

Accepted Answer

$$600\ \Omega ($$since $$120 + 360 + 120 = 600)$$

Question 4

In a parallel circuit, which of the following is always the same for all resistors?

Accepted Answer

Voltage across each resistor

Question 5

A battery with emf $$V_0$$ and internal resistance $$r is $$connected to an external resistor $$R. $$What is the current $$I in $$the circuit?

Accepted Answer

$$I = \frac{V_0$}{R + r}$$

Question 6

If the internal resistance of a battery increases due to aging, what happens to the terminal voltage when a constant current is drawn?

Accepted Answer

The terminal voltage decreases.

Question 7

Which configuration, series or parallel, is best for minimizing the total resistance of a circuit using identical resistors?

Accepted Answer

Parallel

Question 8

A real battery is modeled as an ideal battery in series with a resistor. If no current is drawn from the battery, what is the voltage measured across its terminals?

Accepted Answer

Equal to the emf $$V_0$$

Question 9

If three resistors of $$240\ \Omega$$, $$90\ \Omega$$, and $$240\ \Omega$$ are connected in series, what is the equivalent resistance?

Accepted Answer

$$570\ \Omega$$

Question 10

For the circuit in the last image, if the internal resistance $$r is $$not negligible, which equation gives the terminal voltage $$\Delta V$$ when a current $$i is $$flowing?

Accepted Answer

$$\Delta V = V_0$ - r i$$

Question 11

A circuit contains two resistors, $$R_1 = 100$$\ \Omega$$ and R_2$ = 200\ \Omega$$, in parallel. What is the equivalent resistance?

Accepted Answer

$$66.7\ \Omega$$

Question 12

If a wire with negligible resistance is added in parallel to a resistor, what happens to the total resistance of the circuit?

Accepted Answer

It decreases to nearly zero.

Question 13

Which of the following is a correct statement about the current in a series circuit?

Accepted Answer

The current is the same through all resistors.

Question 14

A battery with emf $$V_0 = 12$$\ V$$ and internal resistance r = 1$$\ \Omega$$ is connected to a 5$$\ \Omega$$ resistor. What is the current in the circuit?

Accepted Answer

$$2\ A ($$since $$I = \frac{12}{5+1} = 2)$$

Question 15

If three resistors of $$R$$ each are connected in parallel, what is the equivalent resistance?

Accepted Answer

$$\frac{R}{3}$$

Question 16

Which of the following best explains why the resistance of connecting wires is often neglected in circuit analysis?

Accepted Answer

Because their resistance is negligible compared to that of the designed resistors.

Resistors in Series and Parallel, and Battery Internal Resistance

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