Question 1

Charge on conductors: A hollow conducting spherical shell has radii of 0.80 m and 1.20 m, as shown in the figure. The sphere carries a net excess charge of -500 nC. A point charge of +300 nC is present at the center. (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C)  The radial component of the electric field at a point that is 1.50 m from the center is closest to 0 = 8.99 × 109 N ∙ m2/C)  The radial component of the electric field at a point that is 1.50 m from the center is closest to   A)  +1200 N/C. B)  +2000 N/C. C)  -800 N/C. D)  -1600 N/C. E)  -2000 N/C." class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   +1200 N/C.
B)   +2000 N/C.
C)   -800 N/C.
D)   -1600 N/C.
E)   -2000 N/C.F) A) and E)
G) D) and E)

Question 2

Flux: A nonuniform electric field is directed along the x-axis at all points in space. This magnitude of the field varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the x-axis, as shown in the figure. The electric fields E1 and E2, at the ends of the cylindrical surface, have magnitudes of 6000 N/C and 1000 N/C respectively, and are directed as shown. What is the net electric flux passing through the cylindrical surface? 1 and E2, at the ends of the cylindrical surface, have magnitudes of 6000 N/C and 1000 N/C respectively, and are directed as shown. What is the net electric flux passing through the cylindrical surface?   A)  -160 N ∙ m2/C B)  -350 N ∙ m2/C C)  0.00 N ∙ m2/C D)  +350 N ∙ m2/C E)  +160 N ∙ m2/C" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   -160 N ∙ m2/C
B)   -350 N ∙ m2/C
C)   0.00 N ∙ m2/C
D)   +350 N ∙ m2/C
E)   +160 N ∙ m2/CF) B) and C)
G) A) and E)

Question 3

Spheres of charge: Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. The electric field at a point P, which is 0.50 m from the center of the sphere, is 15,000 N/C and is directed radially outward. At what distance from the center of the sphere does the electric field have the same magnitude as it has at P?

Accepted Answer

A)   0.11 m
B)   0.13 m
C)   0.15 m
D)   0.17 m
E)   at no other pointF) A) and B)
G) A) and C)

Question 4

Lines of charge: An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 180 μC/m3. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Accepted Answer

A)   2.50 × 103 N/C
B)   5.10 × 103 N/C
C)   zero
D)   2.00 × 103 N/C
E)   10.2 × 103 N/CF) A) and E)
G) D) and E)

Question 5

Charge on conductors: A neutral hollow spherical conducting shell of inner radius 1.00 cm and outer radius 3.00 cm has a +2.00-µC point charge placed at its center. Find the surface charge density
(a) on the inner surface of the shell.
(b) on the outer surface of the shell.

Accepted Answer

(a) -1590 ...

Question 6

Lines of charge: The cross section of a long coaxial cable is shown in the figure, with radii as given. The linear charge density on the inner conductor is  and the linear charge density on the outer conductor is  The inner and outer cylindrical surfaces are respectively denoted by A, B, C, and D, as shown.  The magnitude of the electric field at a point that is  from the axis is closest to

Accepted Answer

A)   17,000 N/C.
B)   15,000 N/C.
C)   13,000 N/C.
D)   11,000 N/C.
E)   9600 N/C.F) A) and D)
G) C) and D)

Question 7

Gauss's law: A charge of 1.0 × 10-6 μC is located inside a sphere, 1.25 cm from its center. What is the electric flux through the sphere due to this charge? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Accepted Answer

A)   0.11 N ∙ m2/C
B)   8.9 N ∙ m2/C
C)   0.028π N ∙ m2/C
D)   It cannot be determined without knowing the radius of the sphere.E) All of the above
F) A) and C)

Question 8

Flux: A cone is resting on a tabletop as shown in the figure with its face horizontal. A uniform electric field of magnitude 4550 N/C points vertically upward. How much electric flux passes through the sloping side surface area of the cone?

Accepted Answer

The answer of Flux: A cone is resting on a...

Question 9

Gauss's law: A nonuniform electric field is directed along the x-axis at all points in space. This magnitude of the field varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the x-axis, as shown in the figure. The electric fields E1 and E2, at the ends of the cylindrical surface, have magnitudes of 1 and E2, at the ends of the cylindrical surface, have magnitudes of   and   respectively, and are directed as shown. (ε0 = 8.85 × 10-12 C2/N ∙ m2)  The charge enclosed by the cylindrical surface is closest to   A)  -1.1 nC. B)  1.1 nC. C)  -2.4 nC. D)  -4.8 nC. E)  4.8 nC." class="answers-bank-image d-inline" rel="preload" > and 1 and E2, at the ends of the cylindrical surface, have magnitudes of   and   respectively, and are directed as shown. (ε0 = 8.85 × 10-12 C2/N ∙ m2)  The charge enclosed by the cylindrical surface is closest to   A)  -1.1 nC. B)  1.1 nC. C)  -2.4 nC. D)  -4.8 nC. E)  4.8 nC." class="answers-bank-image d-inline" rel="preload" > respectively, and are directed as shown. (ε0 = 8.85 × 10-12 C2/N ∙ m2)  The charge enclosed by the cylindrical surface is closest to 1 and E2, at the ends of the cylindrical surface, have magnitudes of   and   respectively, and are directed as shown. (ε0 = 8.85 × 10-12 C2/N ∙ m2)  The charge enclosed by the cylindrical surface is closest to   A)  -1.1 nC. B)  1.1 nC. C)  -2.4 nC. D)  -4.8 nC. E)  4.8 nC." class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   -1.1 nC.
B)   1.1 nC.
C)   -2.4 nC.
D)   -4.8 nC.
E)   4.8 nC.F) B) and D)
G) B) and C)

Question 10

Charge on conductors: A hollow conducting spherical shell has radii of 0.80 m and 1.20 m, as shown in the figure. The sphere carries a net excess charge of -500 nC. A point charge of +300 nC is present at the center. (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C)  The radial component of the electric field at a point that is 0.60 m from the center is closest to 0 = 8.99 × 109 N ∙ m2/C)  The radial component of the electric field at a point that is 0.60 m from the center is closest to   A)  zero. B)  +5000 N/C. C)  +7500 N/C. D)  -5000 N/C. E)  -7500 N/C." class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   zero.
B)   +5000 N/C.
C)   +7500 N/C.
D)   -5000 N/C.
E)   -7500 N/C.F) B) and C)
G) C) and E)

Question 11

Sheets of charge: A charge Q is uniformly spread over one surface of a very large nonconducting square elastic sheet having sides of length d. At a point P that is 1.25 cm outside the sheet, the magnitude of the electric field due to the sheet is E. If the sheet is now stretched so that its sides have length 2d, what is the magnitude of the electric field at P?

Accepted Answer

A)   4E
B)   2E
C)   E
D)   E/2
E)   E/4F) A) and D)
G) A) and B)

Question 12

Gauss's law: Four dipoles, each consisting of a +10-µC charge and a -10-µC charge, are located in the xy-plane with their centers 1.0 mm from the origin, as shown. A sphere passes through the dipoles, as shown in the figure. What is the electric flux through the sphere due to these dipoles? (ε0 = 8.85 × 10-12 C2/N ∙ m2)  0 = 8.85 × 10-12 C2/N ∙ m2)    A)  4.5 × 106 N ∙ m2/C B)  0.00 N ∙ m2/C C)  9.0 × 106 N ∙ m2/C D)  11 × 105 N ∙· m2/C" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   4.5 × 106 N ∙ m2/C
B)   0.00 N ∙ m2/C
C)   9.0 × 106 N ∙ m2/C
D)   11 × 105 N ∙· m2/CE) B) and C)
F) B) and D)

Question 13

Flux: If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it to an orientation where only half the flux goes through it, what has been the angle of rotation?

Accepted Answer

A)   45°
B)   26.6°
C)   90°
D)   30°
E)   60°F) D) and E)
G) C) and E)

Question 14

Gauss's law: The figure shows four Gaussian surfaces surrounding a distribution of charges  (a) Which Gaussian surfaces have an electric flux of +q/ε0 through them?
(b) Which Gaussian surfaces have no electric flux through them?

Accepted Answer

The answer of Gauss's law: The figure shows four Gaussian...

Question 15

Flux: If the electric flux through a closed surface is zero, the electric field at points on that surface must be zero.

Accepted Answer

A) True 
 B)False

Question 16

Sheets of charge: A very large sheet of a conductor carries a uniform charge density of 4.00 pC/mm2 on its surfaces. What is the electric field strength 3.00 mm outside the surface of the conductor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Accepted Answer

A)   4.52 × 105 N/C
B)   2.26 × 105 N/C
C)   9.04 × 105 N/C
D)   0.452 N/C
E)   0.226 N/CF) C) and D)
G) B) and C)

Question 17

Spheres of charge: A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r1 = R/4 from the center, the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r2 = 2R?

Accepted Answer

A)   E0/4
B)   zero
C)   E0/2
D)   E0
E)   2E0F) A) and B)
G) A) and C)

Question 18

Spheres of charge: A non-conducting sphere of radius R = 7.0 cm carries a charge Q = 4.0 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere, does the electric field reach a value equal to half its maximum value?

Accepted Answer

A)   3.5 cm only
B)   4.9 cm only
C)   3.5 cm and 9.9 cm
D)   3.5 cm and 4.9 cm
E)   9.9 cm onlyF) B) and C)
G) B) and D)

Question 19

Gauss's law: Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located

Accepted Answer

A)   at x = 0, y = 0, z = R/2.
B)   at the origin.
C)   at x = R/2, y = 0, z = 0.
D)   at x = 0, y = R/2, z = 0.
E)   The charge can be located anywhere, since flux does not depend on the position of the charge as long as it is inside the sphere.F) A) and C)
G) C) and D)

Question 20

Gauss's law: Which of the following statements about Gauss's law are correct? (There may be more than one correct choice.)

Accepted Answer

A)   Gauss's law is valid only for symmetric charge distributions, such as spheres and cylinders.
B)   If there is no charge inside of a Gaussian surface, the electric field must be zero at points of that surface.
C)   Only charge enclosed within a Gaussian surface can produce an electric field at points on that surface.
D)   If a Gaussian surface is completely inside an electrostatic conductor, the electric field must always be zero at all points on that surface.
E)   The electric flux passing through a Gaussian surface depends only on the amount of charge inside that surface, not on its size or shape.F) A) and E)
G) A) and C)

Exam 18: Thermal Properties of Matter

Correct Answer
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Correct Answer
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Spheres of charge: A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r₁ = R/4 from the center, the electric field has a magnitude E₀. What is the magnitude of the electric field at a radial distance r₂ = 2R?

Correct Answer
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Flux: A cone is resting on a tabletop as shown in the figure with its face horizontal. A uniform electric field of magnitude 4550 N/C points vertically upward. How much electric flux passes through the sloping side surface area of the cone?

Correct Answer
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Correct Answer
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Spheres of charge: A non-conducting sphere of radius R = 7.0 cm carries a charge Q = 4.0 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere, does the electric field reach a value equal to half its maximum value?

Correct Answer
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Correct Answer
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Flux: If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it to an orientation where only half the flux goes through it, what has been the angle of rotation?

Correct Answer
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Charge on conductors: A neutral hollow spherical conducting shell of inner radius 1.00 cm and outer radius 3.00 cm has a +2.00-µC point charge placed at its center. Find the surface charge density (a) on the inner surface of the shell. (b) on the outer surface of the shell.

Correct Answer
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(a) -1590 ...
View Answer

Gauss's law: Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located

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Flux: If the electric flux through a closed surface is zero, the electric field at points on that surface must be zero.

Correct Answer
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Gauss's law: Which of the following statements about Gauss's law are correct? (There may be more than one correct choice.)

Correct Answer
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Correct Answer
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Correct Answer
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Gauss's law: A charge of 1.0 × 10^-6 μC is located inside a sphere, 1.25 cm from its center. What is the electric flux through the sphere due to this charge? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

Correct Answer
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Gauss's law: The figure shows four Gaussian surfaces surrounding a distribution of charges (a) Which Gaussian surfaces have an electric flux of +q/ε0 through them? (b) Which Gaussian surfaces have no electric flux through them?

Correct Answer
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Correct Answer
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Sheets of charge: A very large sheet of a conductor carries a uniform charge density of 4.00 pC/mm² on its surfaces. What is the electric field strength 3.00 mm outside the surface of the conductor? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

Correct Answer
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Lines of charge: An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 180 μC/m³. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

Correct Answer
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Correct Answer
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Exam 18: Thermal Properties of Matter

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Spheres of charge: A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r1 = R/4 from the center, the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r2 = 2R?

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Flux: A cone is resting on a tabletop as shown in the figure with its face horizontal. A uniform electric field of magnitude 4550 N/C points vertically upward. How much electric flux passes through the sloping side surface area of the cone?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Spheres of charge: A non-conducting sphere of radius R = 7.0 cm carries a charge Q = 4.0 mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere, does the electric field reach a value equal to half its maximum value?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Flux: If a rectangular area is rotated in a uniform electric field from the position where the maximum electric flux goes through it to an orientation where only half the flux goes through it, what has been the angle of rotation?

Correct AnswerverifiedShow Answer

Charge on conductors: A neutral hollow spherical conducting shell of inner radius 1.00 cm and outer radius 3.00 cm has a +2.00-µC point charge placed at its center. Find the surface charge density (a) on the inner surface of the shell. (b) on the outer surface of the shell.

Correct Answerverified(a) -1590 ...View AnswerShow Answer

Gauss's law: Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located

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Flux: If the electric flux through a closed surface is zero, the electric field at points on that surface must be zero.

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Gauss's law: Which of the following statements about Gauss's law are correct? (There may be more than one correct choice.)

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Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Gauss's law: A charge of 1.0 × 10-6 μC is located inside a sphere, 1.25 cm from its center. What is the electric flux through the sphere due to this charge? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

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Gauss's law: The figure shows four Gaussian surfaces surrounding a distribution of charges (a) Which Gaussian surfaces have an electric flux of +q/ε0 through them? (b) Which Gaussian surfaces have no electric flux through them?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Sheets of charge: A very large sheet of a conductor carries a uniform charge density of 4.00 pC/mm2 on its surfaces. What is the electric field strength 3.00 mm outside the surface of the conductor? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Correct AnswerverifiedShow Answer

Lines of charge: An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 180 μC/m3. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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Spheres of charge: A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r₁ = R/4 from the center, the electric field has a magnitude E₀. What is the magnitude of the electric field at a radial distance r₂ = 2R?

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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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(a) -1590 ...
View Answer

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Gauss's law: A charge of 1.0 × 10^-6 μC is located inside a sphere, 1.25 cm from its center. What is the electric flux through the sphere due to this charge? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

Correct Answer
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Correct Answer
verified

Correct Answer
verified

Sheets of charge: A very large sheet of a conductor carries a uniform charge density of 4.00 pC/mm² on its surfaces. What is the electric field strength 3.00 mm outside the surface of the conductor? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

Correct Answer
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Lines of charge: An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 180 μC/m³. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

Correct Answer
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Correct Answer
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