Question 1

For the circuit shown in the figure, determine the current in
(a) the 1.0-Ω resistor.
(b) the 3.0-Ω resistor.
(c) the 4.0-Ω resistor.

Accepted Answer

(a) 2.8 A 
(b) 1.2 A 
(c) 0.90 A

Question 2

A resistor is made out of a long wire having a length L. Each end of the wire is attached to a terminal of a battery providing a constant voltage V0. A current I flows through the wire. If the wire were cut in half, making two wires of length L/2, and both wires were attached to the battery (the end of both wires attached to one terminal, and the other ends attached to the other terminal), what would be the total current flowing through the two wires?

Accepted Answer

A)  4I 
B)  2I 
C)  I 
D)  I/2 
E)  I/4 
A)  4I 
B)  2I 
C)  I 
D)  I/2 
E)  I/4 A

Question 3

A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The current I2 is closest to

Accepted Answer

A)  +0.1 A. 
B)  +0.3 A. 
C)  +0.5 A. 
D)  -0.1 A. 
E)  -0.3 A. 
A)  +0.1 A. 
B)  +0.3 A. 
C)  +0.5 A. 
D)  -0.1 A. 
E)  -0.3 A. E

Question 4

Four resistors are connected across an 8-V DC battery as shown in the figure. The current through the 9-Ω resistor is closest to

Accepted Answer

A)  1 A. 
B)  0.7 A. 
C)  0.5 A. 
D)  0.9 A. 
E)  2 A. 
A)  1 A. 
B)  0.7 A. 
C)  0.5 A. 
D)  0.9 A. 
E)  2 A.

Question 5

Two identical resistors of resistance R = 24 Ω and a variable resistor Rx are connected to an ideal battery of voltage V as shown in the figure. What should be the value of the variable resistance Rx to make the voltage across the two parallel resistors equal to   .

Accepted Answer

A)  4.0 Ω 
B)  24 Ω 
C)  8.0 Ω 
D)  16 Ω 
E)  40 Ω 
A)  4.0 Ω 
B)  24 Ω 
C)  8.0 Ω 
D)  16 Ω 
E)  40 Ω

Question 6

Two unknown resistors are connected together. When they are connected in series their equivalent resistance is 15 Ω. When they are connected in parallel, their equivalent resistance is 3.3 Ω. What are the resistances of these resistors?

Accepted Answer

The answer of Two unknown resistors are connected together. When...

Question 7

When a 100-Ω resistor is connected across the terminals of a battery of emf ε and internal resistance r, the battery delivers 0.794 W of power to the 100-Ω resistor. When the 100-Ω resistor is replaced by a 200-Ω resistor, the battery delivers 0.401 W of power to the 200-Ω resistor. What are the emf and internal resistance of the battery?

Accepted Answer

A)  ε = 10.0 V, r = 5.02 Ω 
B)  ε = 4.50 V, r = 4.00 Ω 
C)  ε = 9.00 V, r = 2.04 Ω 
D)  ε = 9.00 V, r = 1.01 Ω 
E)  ε = 12.0 V, r = 6.00 Ω 
A)  ε = 10.0 V, r = 5.02 Ω 
B)  ε = 4.50 V, r = 4.00 Ω 
C)  ε = 9.00 V, r = 2.04 Ω 
D)  ε = 9.00 V, r = 1.01 Ω 
E)  ε = 12.0 V, r = 6.00 Ω

Question 8

In the circuit shown in the figure, two 360.0-Ω resistors are connected in series with an ideal source of emf. A voltmeter with internal resistance of 6350 Ω is connected across one of the resistors and reads 3.23 V. Find the emf of the source.

Accepted Answer

The answer of In the circuit shown in the figure,...

Question 9

For the circuit shown in the figure, what is the current through resistor R1?

Accepted Answer

A)  0.071 A 
B)  0.13 A 
C)  0.029 A 
D)  0.016 A 
A)  0.071 A 
B)  0.13 A 
C)  0.029 A 
D)  0.016 A

Question 10

A multiloop circuit is shown in the figure. It is not necessary to solve the entire circuit. Compared to the polarity shown in the figure, the emf ε1 is closest to

Accepted Answer

A)  -5 V. 
B)  5 V. 
C)  45 V. 
D)  51 V. 
E)  -51 V. 
A)  -5 V. 
B)  5 V. 
C)  45 V. 
D)  51 V. 
E)  -51 V.

Question 11

A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The current I1 is closest to

Accepted Answer

A)  zero. 
B)  +0.2 A. 
C)  +0.4 A. 
D)  -0.2 A. 
E)  -0.4 A. 
A)  zero. 
B)  +0.2 A. 
C)  +0.4 A. 
D)  -0.2 A. 
E)  -0.4 A.

Question 12

A multiloop circuit is shown in the figure. It is not necessary to solve the entire circuit. The current I2 is closest to

Accepted Answer

A)  -6 A. 
B)  6 A. 
C)  8 A. 
D)  -8 A. 
E)  zero. 
A)  -6 A. 
B)  6 A. 
C)  8 A. 
D)  -8 A. 
E)  zero.

Question 13

As more resistors are added in parallel across a constant voltage source, the power supplied by the source

Accepted Answer

A)  increases. 
B)  decreases. 
C)  does not change. 
A)  increases. 
B)  decreases. 
C)  does not change.

Question 14

A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The emf ε is closest to

Accepted Answer

A)  +3 V. 
B)  +19 V. 
C)  -3 V. 
D)  -10 V. 
E)  -1 V. 
A)  +3 V. 
B)  +19 V. 
C)  -3 V. 
D)  -10 V. 
E)  -1 V.

Question 15

A galvanometer G has an internal resistance rg. An AMMETER is constructed by incorporating the galvanometer and an additional resistance Rs. Which one of the figures below is the most appropriate circuit diagram for the ammeter?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 16

For the circuit shown in the figure, the switch S is initially open and the capacitor voltage is 80 V. The switch is then closed at time t = 0. What is the charge on the capacitor when the current in the circuit is 33 μA?

Accepted Answer

A)  1100 µC 
B)  1000 µC 
C)  960 µC 
D)  890 µC 
E)  830 µC 
A)  1100 µC 
B)  1000 µC 
C)  960 µC 
D)  890 µC 
E)  830 µC

Question 17

A galvanometer has a coil with a resistance of 24.0 Ω, and a current of 180 μA causes it to deflect full scale. If this galvanometer is to be used to construct an ammeter that can read up to 10.0 A, what shunt resistor is required?

Accepted Answer

A)  123 µΩ 
B)  234 µΩ 
C)  342 µΩ 
D)  432 µΩ 
E)  423 µΩ 
A)  123 µΩ 
B)  234 µΩ 
C)  342 µΩ 
D)  432 µΩ 
E)  423 µΩ

Question 18

A 6.0-μF capacitor is connected in series with= 5.0 MΩ resistor, and this combination is connected across an ideal 15-V DC battery. What is the current in the circuit when the capacitor has reached 20% of its maximum charge?

Accepted Answer

A)  6.5 μA 
B)  2.4 μA 
C)  1.3 μA 
D)  4.7 μA 
E)  9.1 μA 
A)  6.5 μA 
B)  2.4 μA 
C)  1.3 μA 
D)  4.7 μA 
E)  9.1 μA

Question 19

For the circuit shown in the figure, all quantities are accurate to 3 significant figures. What is the power dissipated in the 2-Ω resistor?

Accepted Answer

A)  5.33 W 
B)  8.0 W 
C)  6.67 W 
D)  2.67 W 
E)  3.56 W 
A)  5.33 W 
B)  8.0 W 
C)  6.67 W 
D)  2.67 W 
E)  3.56 W

Question 20

A galvanometer G has an internal resistance rg. A VOLTMETER is constructed by incorporating the galvanometer and an additional resistance Rs. Which one of the figures below is the most appropriate circuit diagram for the voltmeter?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Exam 25: Direct-Current Circuits

For the circuit shown in the figure, determine the current in (a) the 1.0-Ω resistor. (b) the 3.0-Ω resistor. (c) the 4.0-Ω resistor.

A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The current I2 is closest to

Four resistors are connected across an 8-V DC battery as shown in the figure. The current through the 9-Ω resistor is closest to

Two identical resistors of resistance R = 24 Ω and a variable resistor Rx are connected to an ideal battery of voltage V as shown in the figure. What should be the value of the variable resistance Rx to make the voltage across the two parallel resistors equal to .

Two unknown resistors are connected together. When they are connected in series their equivalent resistance is 15 Ω. When they are connected in parallel, their equivalent resistance is 3.3 Ω. What are the resistances of these resistors?

In the circuit shown in the figure, two 360.0-Ω resistors are connected in series with an ideal source of emf. A voltmeter with internal resistance of 6350 Ω is connected across one of the resistors and reads 3.23 V. Find the emf of the source.

For the circuit shown in the figure, what is the current through resistor R1?

A multiloop circuit is shown in the figure. It is not necessary to solve the entire circuit. Compared to the polarity shown in the figure, the emf ε1 is closest to

A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The current I1 is closest to

A multiloop circuit is shown in the figure. It is not necessary to solve the entire circuit. The current I2 is closest to

As more resistors are added in parallel across a constant voltage source, the power supplied by the source

A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The emf ε is closest to

A galvanometer G has an internal resistance rg. An AMMETER is constructed by incorporating the galvanometer and an additional resistance Rs. Which one of the figures below is the most appropriate circuit diagram for the ammeter?

For the circuit shown in the figure, the switch S is initially open and the capacitor voltage is 80 V. The switch is then closed at time t = 0. What is the charge on the capacitor when the current in the circuit is 33 μA?

A galvanometer has a coil with a resistance of 24.0 Ω, and a current of 180 μA causes it to deflect full scale. If this galvanometer is to be used to construct an ammeter that can read up to 10.0 A, what shunt resistor is required?

A 6.0-μF capacitor is connected in series with= 5.0 MΩ resistor, and this combination is connected across an ideal 15-V DC battery. What is the current in the circuit when the capacitor has reached 20% of its maximum charge?

For the circuit shown in the figure, all quantities are accurate to 3 significant figures. What is the power dissipated in the 2-Ω resistor?

A galvanometer G has an internal resistance rg. A VOLTMETER is constructed by incorporating the galvanometer and an additional resistance Rs. Which one of the figures below is the most appropriate circuit diagram for the voltmeter?

Units, Physical Quantities, and Vectors

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

Momentum, Impulse, and Collisions

Rotation of Rigid Bodies

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

Periodic Motion

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Magnetic Field and Magnetic Forces

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves

The Nature and Propagation of Light

Geometric Optics

Interference

Diffraction

Relativity

Photons: Light Waves Behaving As Particles

Particles Behaving As Waves

Quantum Mechanics

Atomic Structure

Molecules and Condensed Matter

Nuclear Physics

Particle Physics and Cosmology

Filters

A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The current I₂ is closest to

For the circuit shown in the figure, what is the current through resistor R₁?

A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The current I₁ is closest to

A multiloop circuit is shown in the figure. It is not necessary to solve the entire circuit. The current I₂ is closest to

A galvanometer G has an internal resistance rg. An AMMETER is constructed by incorporating the galvanometer and an additional resistance R_s. Which one of the figures below is the most appropriate circuit diagram for the ammeter?

A galvanometer G has an internal resistance r_g. A VOLTMETER is constructed by incorporating the galvanometer and an additional resistance R_s. Which one of the figures below is the most appropriate circuit diagram for the voltmeter?