Question 1

Which of the following statements best describes the current in a series circuit containing three resistors?

Accepted Answer

The same current flows sequentially through each resistor.

Question 2

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

Accepted Answer

$$R_{eq} = 600\ \Omega$$

Question 3

Which equation correctly expresses the total current entering a junction according to Kirchhoff’s junction rule?

Accepted Answer

$$\sum\limits_{i=1}^{n} I_i = 0$$

Question 4

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

Accepted Answer

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

Question 5

Which of the following is true for resistors in parallel?

Accepted Answer

The voltage across each resistor is the same.

Question 6

If three resistors $$R_1 = 2$$\ \Omega$$, R_2$ = 4\ \Omega$$, and $$R_3 = 4$$\ \Omega$$ are connected in parallel, what is the equivalent resistance?

Accepted Answer

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

Question 7

A circuit contains a battery with emf $$V_0 = 12$$\ V$$ and internal resistance r = 1$$\ \Omega$$, connected to a 5$$\ \Omega$$ resistor. What is the terminal voltage across the battery when current is flowing?

Accepted Answer

$$\Delta V = 10\ V$$

Question 8

Which of the following best describes Kirchhoff’s loop rule?

Accepted Answer

The sum of the voltage drops around any closed loop is zero.

Question 9

In a real-world scenario, why is the internal resistance of a car battery important when starting the engine?

Accepted Answer

It causes a voltage drop, reducing the voltage available to the starter motor.

Question 10

A circuit consists of two resistors, $$R_1 = 100$$\ \Omega$$ and R_2$ = 200\ \Omega$$, connected in parallel. What is the total current if the applied voltage is $$12\ V$$?

Accepted Answer

$$I = 0.18\ A$$

Question 11

Which of the following is a correct application of Ohm’s Law in a circuit with a battery of emf $$V_0$$, internal resistance $$r$$, and external resistance $$R$$?

Accepted Answer

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

Question 12

A household circuit has several appliances connected in parallel. If one appliance fails and creates an open circuit, what happens to the other appliances?

Accepted Answer

The other appliances continue to work normally.

Question 13

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

Accepted Answer

Their resistance is negligible compared to that of the designed resistors.

Question 14

A student connects three resistors in series: $$R_1 = 10$$\ \Omega$$, R_2$ = 20\ \Omega$$, $$R_3 = 30$$\ \Omega$$. What is the voltage drop across R_2$ if the total current is 2$$\ A$$?

Accepted Answer

$$V = 20\ V$$

Question 15

Which of the following is the correct formula for the equivalent resistance of two resistors $$R_1$$ and $$R_2 in $$parallel?

Accepted Answer

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

Question 16

A battery is disconnected from a circuit. What is the potential difference measured across its terminals?

Accepted Answer

Equal to the emf $$V_0$$

Question 17

In a complex circuit, which rule would you use to analyze the sum of voltage changes around a closed path?

Accepted Answer

Kirchhoff’s loop rule

Question 18

A real battery has an emf of $$9\ V$$ and an internal resistance of $$0.5\ \Omega. If it $$supplies a current of $$2\ A to an $$external circuit, what is the terminal voltage?

Accepted Answer

$$8\ V$$

Question 19

Which of the following is a consequence of the conservation of energy in electrical circuits?

Accepted Answer

Kirchhoff’s loop rule

Resistor Circuits and Kirchhoff’s Rules

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