Question 1

Which of the following statements best describes the current through each resistor in a series circuit, as shown in the first image?

Accepted Answer

The same current flows sequentially 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, each of $$100\,\Omega$$, are connected in series, what is the total resistance?

Accepted Answer

$$300\,\Omega$$

Question 4

In a parallel circuit, which property is the same across all resistors?

Accepted Answer

Voltage

Question 5

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

Accepted Answer

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

Question 6

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

Accepted Answer

It decreases.

Question 7

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.

Question 8

A real battery is modeled as an ideal battery in series with a resistor. If the circuit is open (no current flows), what is the voltage measured across the battery terminals?

Accepted Answer

The emf $$V_0 of $$the ideal battery

Question 9

Given three resistors in parallel, $$R_1 = 100$$\,\Omega$$, R_2$ = 200\,\Omega$$, and $$R_3 = 300$$\,\Omega$$, what is the equivalent resistance?

Accepted Answer

$$R_{eq} = 54.5\,\Omega$$

Question 10

If a wire is made of two coaxial conductors with different resistivities, which of the following statements is correct?

Accepted Answer

The total resistance depends on the geometry and resistivities of both the core and cladding.

Question 11

A circuit contains a $$12\,	ext{V}$$ battery with internal resistance $$1\,\Omega$$ and an external resistor $$5\,\Omega. $$What is the current in the circuit?

Accepted Answer

$$2\,	ext{A}$$

Question 12

Which of the following is true for the total resistance $$R_{eq} of$$ $$n$$ identical resistors $$R$$ connected in parallel?

Accepted Answer

$$R_{eq} = \frac{R}{n}$$

Question 13

A $$9\,	ext{V}$$ battery with $$0.5\,\Omega$$ internal resistance is connected to a $$4.5\,\Omega$$ load. What is the voltage across the load?

Accepted Answer

$$7.5\,	ext{V}$$

Question 14

If the voltage across a resistor is doubled, what happens to the current through it (assuming Ohm's Law applies)?

Accepted Answer

It doubles.

Question 15

Which configuration would you use to minimize the total resistance in a circuit: series or parallel?

Accepted Answer

Parallel

Question 16

A circuit contains two resistors, $$R_1 = 100$$\,\Omega$$ and R_2$ = 200\,\Omega$$, in series. What is the voltage drop across $$R_2 if $$the total current is $$0.1\,	ext{A}$$?

Accepted Answer

$$20\,	ext{V}$$

Question 17

If a battery is connected to a circuit and the current is measured to be zero, what can you conclude about the circuit?

Accepted Answer

The circuit is open.

Question 18

Which of the following is a correct statement about the voltage drop across the internal resistance of a battery?

Accepted Answer

It is zero when no current flows.

Question 19

A $$12\,	ext{V}$$ battery with $$1\,\Omega$$ internal resistance is connected to a $$5\,\Omega$$ resistor. What is the power dissipated in the external resistor?

Accepted Answer

$$10\,	ext{W}$$

Resistors in Series and Parallel, and Battery Internal Resistance

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