Question 1

Consider the two circuits shown in the first image. Both batteries are identical and all bulbs are identical. Which statement is correct about the current through the battery in Circuit 1 compared to Circuit 2?

Accepted Answer

The current in Circuit 1 is less than in Circuit 2.

Question 2

In the circuit shown in the third image, a fourth bulb D is added in parallel to bulbs B and C. What happens to the brightness of bulb A after bulb D is added?

Accepted Answer

It increases.

Question 3

Which equation correctly gives the equivalent resistance $$R_{eq}$$ for $$n$$ resistors in series?

Accepted Answer

$$R_{eq} = \sum_{j=1}^{n} R_j$$

Question 4

Which equation correctly gives the equivalent resistance $$R_{eq}$$ for $$n$$ resistors in parallel?

Accepted Answer

$$\frac{1}{R_{eq}} = \sum_{j=1}^{n} \frac{1}{R_j}$$

Question 5

A 9 V battery is connected to two resistors, $$R_1 = 2$$\,\Omega$$ and R_2$ = 4\,\Omega$$, in series. What is the voltage drop across $$R_2$$?

Accepted Answer

$$6\,	ext{V}$$

Question 6

Which of the following statements about voltmeters is correct?

Accepted Answer

A voltmeter must be placed in parallel with the circuit element to measure the voltage drop across it.

Question 7

According to Kirchhoff’s loop rule, what must be true for the sum of the voltage changes around any closed loop in a circuit?

Accepted Answer

$$\sum \Delta V = 0$$

Question 8

In a parallel circuit, which of the following is always true?

Accepted Answer

Each branch experiences the same voltage drop.

Question 9

If two identical bulbs are connected in parallel to a battery, and a third identical bulb is added in parallel, what happens to the total current supplied by the battery?

Accepted Answer

It increases.

Question 10

A circuit contains two bulbs, one with resistance $$R$$ and one with resistance $$2R$$, connected in series to a battery. Which bulb is brighter?

Accepted Answer

The bulb with resistance $$2R.$$

Question 11

A circuit contains two bulbs, one with resistance $$R$$ and one with resistance $$2R$$, connected in parallel to a battery. Which bulb is brighter?

Accepted Answer

The bulb with resistance $$R.$$

Question 12

Which of the following is a correct statement of Ohm’s Law?

Accepted Answer

$$\Delta V = I R$$

Question 13

Which of the following materials would violate Ohm’s Law?

Accepted Answer

A filament bulb whose resistance increases as it heats up.

Question 14

In the complex circuit with bulbs A-F (last image), which bulbs are guaranteed to have the same brightness?

Accepted Answer

Bulbs E and F

Question 15

A battery supplies a constant potential difference $$\Delta V_{bat}. If $$the equivalent resistance $$R_{eq} of $$the circuit decreases, what happens to the total current $$I_{bat}$$ supplied by the battery?

Accepted Answer

It increases.

Question 16

If a voltmeter is connected across a resistor in a circuit and reads 6 V, and the current through the resistor is 2 A, what is the resistance of the resistor?

Accepted Answer

$$3\,\Omega$$

Question 17

Which of the following best describes the relationship between power, current, and voltage for a resistor?

Accepted Answer

$$P = I \Delta V$$

Question 18

In a series circuit, which element will experience the largest voltage drop?

Accepted Answer

The element with the largest resistance.

Question 19

Three identical bulbs are connected in parallel to a battery. If one bulb burns out, what happens to the brightness of the remaining bulbs?

Accepted Answer

They stay the same.

Question 20

A battery is connected to a circuit with a total resistance $$R_{eq}. If $$the battery voltage is doubled, what happens to the current through the circuit?

Accepted Answer

It doubles.

Electric Circuits II: Series and Parallel Circuits, Kirchhoff’s Rules, and Ohm’s Law

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