Question 1

Which of the following correctly describes the equivalent resistance $$R_{eq}$$ for three resistors $$R_1$$, $$R_2$$, and $$R_3$$ connected in series?

Accepted Answer

$$R_{eq} = R_1$ + R_2$ + R_3$

Question 2

Two identical capacitors, each of capacitance $$C$$, are connected in parallel across a battery of voltage $$V_B. $$What is the equivalent capacitance of the combination?

Accepted Answer

$$C_{eq} = 2C$$

Question 3

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

Accepted Answer

Each capacitor has the same charge.

Question 4

Given two capacitors, $$C_1 = 1.0$$\ \mu F$$ and C_2$ = 2.0\ \mu F$$, connected in series across a battery of voltage $$V_B$$, what is the charge on $$C_1$$?

Accepted Answer

$$Q_1$$ = \frac{$$C_1$$ $$C_2$$}{$$C_1$$ + $$C_2$$} V_B$$

Question 5

A voltmeter is used to measure the voltage across a resistor in a circuit. Where should the voltmeter be connected?

Accepted Answer

In parallel with the resistor

Question 6

Which of the following best describes the function of 'ground' in an electrical circuit?

Accepted Answer

It provides a reference point of zero voltage and a safe path for excess current.

Question 7

If three resistors $$R_1 = 2$$\ \Omega$$, R_2$ = 3\ \Omega$$, and $$R_3 = 6$$\ \Omega$$ are connected in parallel, what is the equivalent resistance R$$_{eq}$$?

Accepted Answer

$$R_{eq} = 1\ \Omega$$

Question 8

In the circuit shown, $$C_0 = 2.0$$\ nF$$, C_1$ = 4.0\ nF$$, $$C_2 = 6.0$$\ nF$$, and V_B = 10$$\ V$$. C_1$ and C_2$ are in parallel, and their combination is in series with C_0$. What is the equivalent capacitance C$$_{eq}$$ of the circuit?

Accepted Answer

$$C_{eq} = \frac{5}{3}\ nF$$

Question 9

For the circuit in the previous question, what is the voltage across $$C_0$$?

Accepted Answer

$$V_{C_0$} = 6\ V$$

Question 10

Which of the following is true about the current measured by an ammeter in a circuit?

Accepted Answer

An ammeter must be connected in series with the component.

Question 11

Two identical resistors $$R$$ are connected in parallel. What is the equivalent resistance?

Accepted Answer

$$R_{eq} = \frac{R}{2}$$

Question 12

A circuit contains two capacitors, $$C_1 = 1.0$$\ \mu F$$ and C_2$ = 2.0\ \mu F$$, in series across a battery. Which capacitor has the larger potential difference across it?

Accepted Answer

$$C_1$$

Question 13

In a parallel combination of two capacitors, $$C_1$$ and $$C_2$$, which statement is true?

Accepted Answer

Both capacitors have the same voltage.

Question 14

A real-world application: Why is it dangerous if the ground connection in a household electrical system is broken?

Accepted Answer

It can result in a buildup of charge, increasing the risk of electric shock.

Question 15

If a wire with zero resistance connects two points in a circuit, what is the voltage difference between those points?

Accepted Answer

It is zero.

Question 16

A battery of voltage $$V_B is $$connected to two capacitors, $$C_1$$ and $$C_2$$, in parallel. What is the total charge stored in the system?

Accepted Answer

$$Q_{total} = (C_1$ + C_2$) V_B$$

Question 17

Which of the following is a correct statement about the voltage across capacitors in parallel?

Accepted Answer

The voltage across each capacitor is equal to the battery voltage.

Question 18

A circuit contains two resistors, $$R_1$$ and $$R_2$$, in parallel. If $$R_1 = 4$$\ \Omega$$ and R_2$ = 12\ \Omega$$, what is the equivalent resistance?

Accepted Answer

$$R_{eq} = 3\ \Omega$$

Series and Parallel Circuits: Resistors, Capacitors, and Grounding in Physics

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