Question 1

An ac current has an rms value of 3.54 A. Determine the peak value of the current.

Accepted Answer

A) 1.25 A 
B) 2.50 A 
C) 3.75 A 
D) 5.00 A 
E) 7.08 A 
A) 1.25 A 
B) 2.50 A 
C) 3.75 A 
D) 5.00 A 
E) 7.08 A

Question 2

An uncharged 5.0-µF capacitor and a resistor are connected in series to a 12-V battery and an open switch to form a simple RC circuit. The switch is closed at t = 0 s. The time constant of the circuit is 4.0 s.
-What is the charge remaining on either plate after one time constant has elapsed?

Accepted Answer

A) 7.4 × 10-5 C 
B) 5.5 × 10-5 C 
C) 1.2 × 10-5 C 
D) 3.8 × 10-5 C 
E) 2.2 × 10-5 C 
A) 7.4 × 10-5 C 
B) 5.5 × 10-5 C 
C) 1.2 × 10-5 C 
D) 3.8 × 10-5 C 
E) 2.2 × 10-5 C

Question 3

What is the equivalent capacitance of the combination of capacitors shown in the circuit?

Accepted Answer

A) 0.37 µF 
B) 3.3 µF 
C) 4.6 µF 
D) 0.67 µF 
E) 2.1 µF 
A) 0.37 µF 
B) 3.3 µF 
C) 4.6 µF 
D) 0.67 µF 
E) 2.1 µF

Question 4

An uncharged 5.0-µF capacitor and a resistor are connected in series to a 12-V battery and an open switch to form a simple RC circuit. The switch is closed at t = 0 s. The time constant of the circuit is 4.0 s.
-Determine the value of the resistance R.

Accepted Answer

A) 15$\varOmega$ 
B) 60 $\varOmega$ 
C) 8.0 × 105 $\varOmega$ 
D) 8.0 × 107 $\varOmega$ 
E) 8.0 × 108 $\varOmega$ 
A) 15$\varOmega$ 
B) 60 $\varOmega$ 
C) 8.0 × 105 $\varOmega$ 
D) 8.0 × 107 $\varOmega$ 
E) 8.0 × 108 $\varOmega$

Question 5

The current through a certain heater wire is found to be fairly independent of its temperature. If the current through the heater wire is doubled, the amount of energy delivered by the heater in a given time interval will

Accepted Answer

A) increase by a factor of two. 
B) decrease by a factor of two. 
C) increase by a factor of four. 
D) decrease by a factor of four. 
E) increase by a factor of eight. 
A) increase by a factor of two. 
B) decrease by a factor of two. 
C) increase by a factor of four. 
D) decrease by a factor of four. 
E) increase by a factor of eight.

Question 6

When a light bulb is connected to a 4.5 V battery, a current of 0.12 A passes through the bulb filament. What is the resistance of the filament?

Accepted Answer

A) 440 $\varOmega$ 
B) 28 $\varOmega$ 
C) 9.3 $\varOmega$ 
D) 1.4 $\varOmega$ 
E) 38 $\varOmega$ 
A) 440 $\varOmega$ 
B) 28 $\varOmega$ 
C) 9.3 $\varOmega$ 
D) 1.4 $\varOmega$ 
E) 38 $\varOmega$

Question 7

Three 15-$\varOmega$ and two 25-$\varOmega$ light bulbs and a 24 V battery are connected in a series circuit. What is the current that passes through each bulb?

Accepted Answer

A) 0.18 A 
B) 0.25 A 
C) 0.51 A 
D) 0.74 A 
E) The current will be 1.6 A in the 15-$\varOmega$ bulbs and 0.96 A in the 25-$\varOmega$ bulbs. 
A) 0.18 A 
B) 0.25 A 
C) 0.51 A 
D) 0.74 A 
E) The current will be 1.6 A in the 15-$\varOmega$ bulbs and 0.96 A in the 25-$\varOmega$ bulbs.

Question 8

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V.  
-How much energy is dissipated in the 1.8-$\varOmega$ resistor in 4.0 seconds?

Accepted Answer

A) 18 J 
B) 28 J 
C) 55 J 
D) 64 J 
E) 93 J 
A) 18 J 
B) 28 J 
C) 55 J 
D) 64 J 
E) 93 J

Question 9

Two wires, A and B, and a variable resistor, R, are connected in series to a battery. Which one of the following results will occur if the resistance of R is increased?

Accepted Answer

A) The current through A and B will increase. 
B) The voltage across A and B will increase. 
C) The voltage across the entire circuit will increase. 
D) The power used by the entire circuit will increase. 
E) The current through the entire circuit will decrease. 
A) The current through A and B will increase. 
B) The voltage across A and B will increase. 
C) The voltage across the entire circuit will increase. 
D) The power used by the entire circuit will increase. 
E) The current through the entire circuit will decrease.

Question 10

Which one of the following situations results in a conventional electric current that flows northward?

Accepted Answer

A) a beam of protons moves eastward 
B) an electric dipole moves southward 
C) a beam of electrons moves southward 
D) a beam of electrons moves northward 
E) a beam of protons moves northward 
A) a beam of protons moves eastward 
B) an electric dipole moves southward 
C) a beam of electrons moves southward 
D) a beam of electrons moves northward 
E) a beam of protons moves northward

Question 11

How many electrons flow through a battery that delivers a current of 3.0 A for 12 s?

Accepted Answer

A) 4.0 × 1020 
B) 3.6 × 1021 
C) 4.8 × 1015 
D) 6.4 × 1018 
E) 2.2 × 1020 
A) 4.0 × 1020 
B) 3.6 × 1021 
C) 4.8 × 1015 
D) 6.4 × 1018 
E) 2.2 × 1020

Question 12

Three parallel plate capacitors, each having a capacitance of 1.0 µF are connected in parallel. The potential difference across the combination is 100 V. What is the equivalent capacitance of this combination?

Accepted Answer

A) 0.3 $\mu$F 
B) 1 $\mu$F 
C) 3 $\mu$F 
D) 6 $\mu$F 
E) 30 $\mu$F 
A) 0.3 $\mu$F 
B) 1 $\mu$F 
C) 3 $\mu$F 
D) 6 $\mu$F 
E) 30 $\mu$F

Question 13

The figure shows a simple RC circuit consisting of a 100.0-V battery in series with a 10.0-µF capacitor and a resistor. Initially, the switch S is open and the capacitor is uncharged. Two seconds after the switch is closed, the voltage across the resistor is 37 V.  
-Determine the numerical value of the resistance R.

Accepted Answer

A) 0.37 $\varOmega$ 
B) 2.70 $\varOmega$ 
C) 5.0 × 104 $\varOmega$ 
D) 2.0 × 105 $\varOmega$ 
E) 4.3 × 105 $\varOmega$ 
A) 0.37 $\varOmega$ 
B) 2.70 $\varOmega$ 
C) 5.0 × 104 $\varOmega$ 
D) 2.0 × 105 $\varOmega$ 
E) 4.3 × 105 $\varOmega$

Question 14

Three resistors are connected in a circuit as shown. Using Kirchhoff's rules, determine the current in one of the 16-$\varOmega$ resistors.

Accepted Answer

A) 0.50 A 
B) 0.75 A 
C) 1.0 A 
D) 1.3 A 
E) 2.0 A 
A) 0.50 A 
B) 0.75 A 
C) 1.0 A 
D) 1.3 A 
E) 2.0 A

Question 15

A physics student performed an experiment in which the potential difference V between the ends of a long straight wire was varied. The current I in the wire was measured at each value of the potential difference with an ammeter and the results of the experiment are shown in the table.   Which one of the following statements is the best conclusion based on the data?

Accepted Answer

A) The resistance of the wire is 20 $\varOmega$. 
B) The wire does not obey Ohm's law. 
C) The current in the wire is directly proportional to the applied potential difference. 
D) The wire obeys Ohm's law over the range of potential differences between 5 and 30 V. 
E) The wire obeys Ohm's law over the range of potential differences between 5 and 20 V. 
A) The resistance of the wire is 20 $\varOmega$. 
B) The wire does not obey Ohm's law. 
C) The current in the wire is directly proportional to the applied potential difference. 
D) The wire obeys Ohm's law over the range of potential differences between 5 and 30 V. 
E) The wire obeys Ohm's law over the range of potential differences between 5 and 20 V.

Question 16

The figure shows variation of the current through the heating element with time in an iron when it is plugged into a standard 120 V, 60 Hz outlet.  
-What is the rms value of the current in this circuit?

Accepted Answer

A) 1.4 A 
B) 7.1 A 
C) 11 A 
D) 14 A 
E) 18 A 
A) 1.4 A 
B) 7.1 A 
C) 11 A 
D) 14 A 
E) 18 A

Question 17

Three resistors, 50-$\varOmega$, 120-$\varOmega$, 180-$\varOmega$, are connected in series in a circuit. What is the equivalent resistance of this combination of resistors?

Accepted Answer

A) 350 $\varOmega$ 
B) 250 $\varOmega$ 
C) 200 $\varOmega$ 
D) 120 $\varOmega$ 
E) 29 $\varOmega$ 
A) 350 $\varOmega$ 
B) 250 $\varOmega$ 
C) 200 $\varOmega$ 
D) 120 $\varOmega$ 
E) 29 $\varOmega$

Question 18

An RC circuit consists of a resistor with resistance 1.0 k$\varOmega$ , a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 µF and 60.0 µF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s.
-Determine the total charge on both capacitors two time constants after the switch is closed.

Accepted Answer

A) 1.3 × 10-3 C 
B) 2.2 × 10-3 C 
C) 4.7 × 10-3 C 
D) 6.1 × 10-3 C 
E) 8.3 × 10-3 C 
A) 1.3 × 10-3 C 
B) 2.2 × 10-3 C 
C) 4.7 × 10-3 C 
D) 6.1 × 10-3 C 
E) 8.3 × 10-3 C

Question 19

Complete the following statement: The electromotive force is

Accepted Answer

A) the maximum potential difference between the terminals of a battery. 
B) the force that accelerates electrons through a wire when a battery is connected to it. 
C) the force that accelerates protons through a wire when a battery is connected to it. 
D) the maximum capacitance between the terminals of a battery. 
E) the maximum electric potential energy stored within a battery. 
A) the maximum potential difference between the terminals of a battery. 
B) the force that accelerates electrons through a wire when a battery is connected to it. 
C) the force that accelerates protons through a wire when a battery is connected to it. 
D) the maximum capacitance between the terminals of a battery. 
E) the maximum electric potential energy stored within a battery.

Question 20

A simple RC circuit consists of a 1-$\mu$F capacitor in series with a 2800-$\varOmega$resistor, a 6-V battery, and an open switch. Initially, the capacitor is uncharged. How long after the switch is closed will the voltage across the capacitor be 4.1 V?

Accepted Answer

A) 3 × 10-4 s 
B) 3 s 
C) 3 × 10-8 s 
D) 3 × 10-6 s 
E) 3 × 10-3 s 
A) 3 × 10-4 s 
B) 3 s 
C) 3 × 10-8 s 
D) 3 × 10-6 s 
E) 3 × 10-3 s

Exam 20: Electric Circuits

An ac current has an rms value of 3.54 A. Determine the peak value of the current.

An uncharged 5.0-µF capacitor and a resistor are connected in series to a 12-V battery and an open switch to form a simple RC circuit. The switch is closed at t = 0 s. The time constant of the circuit is 4.0 s. -What is the charge remaining on either plate after one time constant has elapsed?

What is the equivalent capacitance of the combination of capacitors shown in the circuit?

An uncharged 5.0-µF capacitor and a resistor are connected in series to a 12-V battery and an open switch to form a simple RC circuit. The switch is closed at t = 0 s. The time constant of the circuit is 4.0 s. -Determine the value of the resistance R.

The current through a certain heater wire is found to be fairly independent of its temperature. If the current through the heater wire is doubled, the amount of energy delivered by the heater in a given time interval will

When a light bulb is connected to a 4.5 V battery, a current of 0.12 A passes through the bulb filament. What is the resistance of the filament?

Three 15- Ω\varOmegaΩ and two 25- Ω\varOmegaΩ light bulbs and a 24 V battery are connected in a series circuit. What is the current that passes through each bulb?

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V. -How much energy is dissipated in the 1.8- Ω\varOmegaΩ resistor in 4.0 seconds?

Two wires, A and B, and a variable resistor, R, are connected in series to a battery. Which one of the following results will occur if the resistance of R is increased?

Which one of the following situations results in a conventional electric current that flows northward?

How many electrons flow through a battery that delivers a current of 3.0 A for 12 s?

Three parallel plate capacitors, each having a capacitance of 1.0 µF are connected in parallel. The potential difference across the combination is 100 V. What is the equivalent capacitance of this combination?

Three resistors are connected in a circuit as shown. Using Kirchhoff's rules, determine the current in one of the 16- Ω\varOmegaΩ resistors.

The figure shows variation of the current through the heating element with time in an iron when it is plugged into a standard 120 V, 60 Hz outlet. -What is the rms value of the current in this circuit?

Three resistors, 50- Ω\varOmegaΩ , 120- Ω\varOmegaΩ , 180- Ω\varOmegaΩ , are connected in series in a circuit. What is the equivalent resistance of this combination of resistors?

Complete the following statement: The electromotive force is

A simple RC circuit consists of a 1- μ\muμ F capacitor in series with a 2800- Ω\varOmegaΩ resistor, a 6-V battery, and an open switch. Initially, the capacitor is uncharged. How long after the switch is closed will the voltage across the capacitor be 4.1 V?

Introduction and Mathematical Concepts

Kinematics in One Dimension

Kinematics in Two Dimensions

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Kinematics

Rotational Dynamics

Simple Harmonic Motion and Elasticity

Fluids

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

The Refl Ection of Light: Mirrors

The Refraction of Light: Lenses and Optical Instruments

Interference and the Wave Nature of Light

Special Relativity

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

Three 15- $\varOmega$ and two 25- $\varOmega$ light bulbs and a 24 V battery are connected in a series circuit. What is the current that passes through each bulb?

Three resistors are connected in a circuit as shown. Using Kirchhoff's rules, determine the current in one of the 16- $\varOmega$ resistors. $Three resistors are connected in a circuit as shown. Using Kirchhoff's rules, determine the current in one of the 16- \varOmega resistors.$

Three resistors, 50- $\varOmega$ , 120- $\varOmega$ , 180- $\varOmega$ , are connected in series in a circuit. What is the equivalent resistance of this combination of resistors?

A simple RC circuit consists of a 1- $\mu$ F capacitor in series with a 2800- $\varOmega$ resistor, a 6-V battery, and an open switch. Initially, the capacitor is uncharged. How long after the switch is closed will the voltage across the capacitor be 4.1 V?