Question 1

Which of the following best describes the terminal voltage $$V_{ab} of a $$battery with EMF $$\mathcal{E}$$ and internal resistance $$r$$ when a current $$I is $$drawn from it?

Accepted Answer

$$V_{ab} = \mathcal{E} - Ir$$

Question 2

A circuit contains three resistors of $$2\,\Omega$$, $$4\,\Omega$$, and $$6\,\Omega$$ connected in series. What is the total resistance?

Accepted Answer

$$R_{eq} = 12\,\Omega$$

Question 3

Which of the following statements about capacitors in parallel is correct?

Accepted Answer

The total capacitance is the sum of the individual capacitances.

Question 4

If two EMFs $$\mathcal{E}_1$$ and $$\mathcal{E}_2$$ are connected in series aiding, what is the total EMF?

Accepted Answer

$$\mathcal{E}_{total} = \mathcal{E}_1 + \mathcal{E}_2$$

Question 5

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

Accepted Answer

$$I = 2\,	ext{A}$$

Question 6

Which of the following is a correct application of Kirchhoff’s loop rule?

Accepted Answer

The sum of the potential differences around any closed loop is zero.

Question 7

A circuit contains two capacitors, $$C_1 = 2$$\,\mu	ext{F}$$ and C_2$ = 4\,\mu	ext{F}$$, connected in series. What is the equivalent capacitance?

Accepted Answer

$$C_{eq} = 1.33\,\mu	ext{F}$$

Question 8

Which of the following best describes the effect of an ammeter on a circuit when measuring current?

Accepted Answer

It should have zero resistance to avoid affecting the current.

Question 9

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

Accepted Answer

$$V = 8.1\,	ext{V}$$

Question 10

Which of the following is true for resistors in parallel?

Accepted Answer

The total resistance is less than the smallest individual resistance.

Question 11

A $$10\,\Omega$$ and a $$20\,\Omega$$ resistor are connected in parallel. What is the equivalent resistance?

Accepted Answer

$$R_{eq} = 6.67\,\Omega$$

Question 12

Which of the following is a real-world consequence of a battery’s internal resistance?

Accepted Answer

The terminal voltage drops below the EMF when current is drawn.

Question 13

If a voltmeter is used to measure the voltage across a resistor, what property should the voltmeter have?

Accepted Answer

Very high resistance

Question 14

Which of the following is NOT a correct statement about Kirchhoff’s rules?

Accepted Answer

The sum of the resistances in a loop is always zero.

Question 15

A $$3\,\mu	ext{F}$$ and a $$6\,\mu	ext{F}$$ capacitor are connected in parallel. What is the equivalent capacitance?

Accepted Answer

$$C_{eq} = 9\,\mu	ext{F}$$

Question 16

Which of the following best describes the effect of connecting two EMFs in parallel?

Accepted Answer

The total EMF is the average of the two EMFs (if identical).

Question 17

A series circuit contains a $$12\,	ext{V}$$ battery (with negligible internal resistance) and three resistors: $$2\,\Omega$$, $$3\,\Omega$$, and $$5\,\Omega. $$What is the current in the circuit?

Accepted Answer

$$I = 1\,	ext{A}$$

Question 18

Which of the following is a safety hazard associated with electric circuits?

Accepted Answer

High voltage can cause electric shock.

DC Circuits: EMF, Terminal Voltage, and Series/Parallel Components

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