Question 1

How much heat is produced in the 10-Ω resistor in 5.0 s when ε = 18 V?

Accepted Answer

A)  72 J 
B)  32 J 
C)  50 J 
D)  18 J 
E)  90 J 
A)  72 J 
B)  32 J 
C)  50 J 
D)  18 J 
E)  90 J

Question 2

A 5000-Ω resistor and a 50-μF capacitor are connected in series at t = 0 with a 6-V battery. The capacitor is initially uncharged. What is the current in the circuit at t = 0? At t = 0.5 s? What is the maximum charge stored on the capacitor?

Accepted Answer

1.2 mA, 0.

Question 3

If R = 3.0 kΩ, C = 6.0 nF, ε 1 = 10.0 V, Q = 18 nC, ε 2 = 6.0 V, and I = 5.0 mA, what is the potential difference Vb − Va?

Accepted Answer

A)  −13 V 
B)  +28 V 
C)  +13 V 
D)  −28 V 
E)  +2.0 V 
A)  −13 V 
B)  +28 V 
C)  +13 V 
D)  −28 V 
E)  +2.0 V

Question 4

A circuit consists of 2N resistors, all of resistance R, connected as shown below. A potential difference V is applied to one end, and the other end is at ground potential. The equivalent resistance of the circuit is

Accepted Answer

A) 
  . 
B)  R. 
C) 
  . 
D)  NR. 
E)  2NR. 
A) 
  . 
B)  R. 
C) 
  . 
D)  NR. 
E)  2NR.

Question 5

The circuit below contains 4 100-W light bulbs. The emf is 110 V. Which light bulb(s) is(are) brightest?

Accepted Answer

A)  A 
B)  B 
C)  C 
D)  D 
E)  C and D 
A)  A 
B)  B 
C)  C 
D)  D 
E)  C and D

Question 6

What is the equivalent resistance between points a and b?

Accepted Answer

A)  14 Ω 
B)  8.0 Ω 
C)  6.0 Ω 
D)  25 Ω 
E)  40 Ω 
A)  14 Ω 
B)  8.0 Ω 
C)  6.0 Ω 
D)  25 Ω 
E)  40 Ω

Question 7

In an RC circuit, how many time constants must elapse if an initially uncharged capacitor is to reach 80% of its final potential difference?

Accepted Answer

A)  2.2 
B)  1.9 
C)  1.6 
D)  3.0 
E)  5.0 
A)  2.2 
B)  1.9 
C)  1.6 
D)  3.0 
E)  5.0

Question 8

How many time constants must elapse if an initially charged capacitor is to discharge 55% of its stored energy through a resistor?

Accepted Answer

A)  0.60 
B)  0.46 
C)  0.52 
D)  0.40 
E)  1.1 
A)  0.60 
B)  0.46 
C)  0.52 
D)  0.40 
E)  1.1

Question 9

If I = 2.0 A in the circuit segment shown below, what is the potential difference VB − VA?

Accepted Answer

A)  +10 V 
B)  −20 V 
C)  −10 V 
D)  +20 V 
E)  +30 V 
A)  +10 V 
B)  −20 V 
C)  −10 V 
D)  +20 V 
E)  +30 V

Question 10

What is the equivalent resistance between points A and B in the figure when R = 10 Ω?

Accepted Answer

A)  20 Ω 
B)  10 Ω 
C)  25 Ω 
D)  15 Ω 
E)  3.2 Ω 
A)  20 Ω 
B)  10 Ω 
C)  25 Ω 
D)  15 Ω 
E)  3.2 Ω

Question 11

The battery is disconnected from a series RC circuit after the capacitor is fully charged and is replaced by an open switch. When the switch is closed,

Accepted Answer

A)  the current through the resistor is always greater than the current through the capacitor. 
B)  the current through the resistor is always less than the current through the capacitor. 
C)  the current through the resistor is always equal to the current through the capacitor. 
D)  the capacitor does not allow current to pass. 
E)  the current stops in the resistor. 
A)  the current through the resistor is always greater than the current through the capacitor. 
B)  the current through the resistor is always less than the current through the capacitor. 
C)  the current through the resistor is always equal to the current through the capacitor. 
D)  the capacitor does not allow current to pass. 
E)  the current stops in the resistor.

Question 12

What is the equivalent resistance between points a and b when R = 30 Ω?

Accepted Answer

A)  27 Ω 
B)  21 Ω 
C)  24 Ω 
D)  18 Ω 
E)  7.5 Ω 
A)  27 Ω 
B)  21 Ω 
C)  24 Ω 
D)  18 Ω 
E)  7.5 Ω

Question 13

A capacitor in a single-loop RC circuit is charged to 85% of its final potential difference in 2.4 s. What is the time constant for this circuit?

Accepted Answer

A)  1.5 s 
B)  1.3 s 
C)  1.7 s 
D)  1.9 s 
E)  2.9 s 
A)  1.5 s 
B)  1.3 s 
C)  1.7 s 
D)  1.9 s 
E)  2.9 s

Question 14

If Q = 350 μC and I = 4.0 mA in the circuit segment shown below, determine the potential difference, VA − VB.

Accepted Answer

A)  −30 V 
B)  +80 V 
C)  +40 V 
D)  −40 V 
E)  +10 V 
A)  −30 V 
B)  +80 V 
C)  +40 V 
D)  −40 V 
E)  +10 V

Question 15

Determine the potential difference, VA − VB, in the circuit segment shown below when I = 2.0 mA and Q = 50 μC.

Accepted Answer

A)  −40 V 
B)  +40 V 
C)  +20 V 
D)  −20 V 
E)  −10 V 
A)  −40 V 
B)  +40 V 
C)  +20 V 
D)  −20 V 
E)  −10 V

Question 16

Determine the potential difference Va − Vb shown in the circuit below.

Accepted Answer

A)  −5.0 V 
B)  +5.0 V 
C)  −10 V 
D)  +10 V 
E)  0 V 
A)  −5.0 V 
B)  +5.0 V 
C)  −10 V 
D)  +10 V 
E)  0 V

Question 17

When a capacitor is fully charged, the current through the capacitor in a direct-current circuit is

Accepted Answer

A)  zero. 
B)  at its maximum value. 
C)  equal to the current in a resistive circuit in parallel with the capacitor circuit. 
D)  greater than the current in a resistor that is farther from the battery than the capacitor. 
E)  zero if it is the only capacitor, but maximum if there is another capacitor in series with it. 
A)  zero. 
B)  at its maximum value. 
C)  equal to the current in a resistive circuit in parallel with the capacitor circuit. 
D)  greater than the current in a resistor that is farther from the battery than the capacitor. 
E)  zero if it is the only capacitor, but maximum if there is another capacitor in series with it.

Question 18

What is the maximum number of 100-W lightbulbs you can connect in parallel in a 120-V home circuit without tripping the 20-A circuit breaker?

Accepted Answer

The answer of What is the maximum number of 100-W...

Question 19

At what rate is thermal energy generated in the 5-Ω resistor when ε = 24 V?

Accepted Answer

A)  13 W 
B)  3.2 W 
C)  23 W 
D)  39 W 
E)  51 W 
A)  13 W 
B)  3.2 W 
C)  23 W 
D)  39 W 
E)  51 W

Question 20

The circuit below shows three resistors in series. R3 > R2 > R1. The resistors are all made of the same wire with the same diameter but have different lengths. Rank the magnitudes of the electric fields in the resistors from least to greatest.

Accepted Answer

A)  E3 2 1. 
B)  E2 1 = E3. 
C)  E1 = E2 = E3. 
D)  E1 = E3 2. 
E)  E1 2 3. 
A)  E3 2 1. 
B)  E2 1 = E3. 
C)  E1 = E2 = E3. 
D)  E1 = E3 2. 
E)  E1 2 3.

Exam 28: Direct-Current Circuits

How much heat is produced in the 10-Ω resistor in 5.0 s when ε = 18 V?

A 5000-Ω resistor and a 50-μF capacitor are connected in series at t = 0 with a 6-V battery. The capacitor is initially uncharged. What is the current in the circuit at t = 0? At t = 0.5 s? What is the maximum charge stored on the capacitor?

If R = 3.0 kΩ, C = 6.0 nF, ε 1 = 10.0 V, Q = 18 nC, ε 2 = 6.0 V, and I = 5.0 mA, what is the potential difference Vb − Va?

A circuit consists of 2N resistors, all of resistance R, connected as shown below. A potential difference V is applied to one end, and the other end is at ground potential. The equivalent resistance of the circuit is

The circuit below contains 4 100-W light bulbs. The emf is 110 V. Which light bulb(s) is(are) brightest?

What is the equivalent resistance between points a and b?

In an RC circuit, how many time constants must elapse if an initially uncharged capacitor is to reach 80% of its final potential difference?

How many time constants must elapse if an initially charged capacitor is to discharge 55% of its stored energy through a resistor?

If I = 2.0 A in the circuit segment shown below, what is the potential difference VB − VA?

What is the equivalent resistance between points A and B in the figure when R = 10 Ω?

The battery is disconnected from a series RC circuit after the capacitor is fully charged and is replaced by an open switch. When the switch is closed,

What is the equivalent resistance between points a and b when R = 30 Ω?

A capacitor in a single-loop RC circuit is charged to 85% of its final potential difference in 2.4 s. What is the time constant for this circuit?

If Q = 350 μC and I = 4.0 mA in the circuit segment shown below, determine the potential difference, VA − VB.

Determine the potential difference, VA − VB, in the circuit segment shown below when I = 2.0 mA and Q = 50 μC.

Determine the potential difference Va − Vb shown in the circuit below.

When a capacitor is fully charged, the current through the capacitor in a direct-current circuit is

What is the maximum number of 100-W lightbulbs you can connect in parallel in a 120-V home circuit without tripping the 20-A circuit breaker?

At what rate is thermal energy generated in the 5-Ω resistor when ε = 24 V?

The circuit below shows three resistors in series. R3 > R2 > R1. The resistors are all made of the same wire with the same diameter but have different lengths. Rank the magnitudes of the electric fields in the resistors from least to greatest.

Physics and Measurement

Motion in One Dimension

Vectors

Motion in Two Dimensions

The Laws of Motion

Circular Motion and Other Applications of Newtons Laws

Energy of a System

Conservation of Energy

Linear Momentum and Collisions

Rotation of a Rigid Object About a Fixed Axis

Angular Momentum

Static Equilibrium and Elasticity

Universal Gravitation

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Wave Motion

Superposition and Standing Waves

Temperature

The First Law of Thermodynamics

The Kinetic Theory of Gases

Heat Engines, Entropy, and the Second Law of Thermodynamics

Electric Fields

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current and Resistance

Magnetic Fields

Sources of the Magnetic Field

Faradays Law

Inductance

Alternating-Current Circuits

Electromagnetic Waves

The Nature of Light and the Principles of Ray Optics

Image Formation

Wave Optics

Diffraction Patterns and Polarization

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Introduction to Quantum Physics

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Filters

If R = 3.0 kΩ, C = 6.0 nF, ε ₁ = 10.0 V, Q = 18 nC, ε ₂ = 6.0 V, and I = 5.0 mA, what is the potential difference V_b − V_a?

If I = 2.0 A in the circuit segment shown below, what is the potential difference V_B − V_A?

If Q = 350 μC and I = 4.0 mA in the circuit segment shown below, determine the potential difference, V_A − V_B.

Determine the potential difference, V_A − V_B, in the circuit segment shown below when I = 2.0 mA and Q = 50 μC.

Determine the potential difference V_a − V_b shown in the circuit below.

The circuit below shows three resistors in series. R₃ > R₂ > R₁. The resistors are all made of the same wire with the same diameter but have different lengths. Rank the magnitudes of the electric fields in the resistors from least to greatest.