Question 1

A huge (essentially infinite) horizontal nonconducting sheet 10.0 cm thick has charge uniformly spread over both faces.The upper face carries +95.0 nC/m2 while the lower face carries -25.0 nC/m2.What is the magnitude of the electric field at a point within the sheet 2.00 cm below the upper face? 2 while the lower face carries -25.0 nC/m2.What is the magnitude of the electric field at a point within the sheet 2.00 cm below the upper face?   A) 0.00 N/C B) 3.95 × 103 N/C C) 6.78 × 103 N/C D) 7.91 × 103 N/C E) 1.36 × 104 N/C" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  0.00 N/C
B)  3.95 × 103 N/C
C)  6.78 × 103 N/C
D)  7.91 × 103 N/C
E)  1.36 × 104 N/C C

Question 2

Two concentric conducting spherical shells produce a radially outward electric field of magnitude 49,000 N/C at a point 4.10 m from the center of the shells.The outer surface of the larger shell has a radius of 3.75 m.If the inner shell contains an excess charge of -5.30 μC,find the amount of charge on the outer surface of the larger shell.
(k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Accepted Answer

Question 3

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.

Question 4

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.

Question 5

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/C

Question 6

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? 2 on its surfaces.What is the electric field strength 3.00 mm outside the surface of the conductor?   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/C" class="answers-bank-image d-inline" rel="preload" >

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/C

Question 7

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 only

Question 8

Under electrostatic conditions,the electric field just outside the surface of any charged conductor

Accepted Answer

A)  is always parallel to the surface.
B)  is always zero because the electric field is zero inside conductors.
C)  is always perpendicular to the surface of the conductor.
D)  is perpendicular to the surface of the conductor only if it is a sphere,a cylinder,or a flat sheet.
E)  can have nonzero components perpendicular to and parallel to the surface of the conductor.

Question 9

As shown in the figure,a square insulating slab 5.0 mm thick measuring 2.0 m × 2.0 m has a charge of 8.0 × 10-11 C distributed uniformly throughout its volume.Use Gauss's law to determine the electric field at point P,which is located within the slab beneath its center,1.0 mm from one of the faces. -11 C distributed uniformly throughout its volume.Use Gauss's law to determine the electric field at point P,which is located within the slab beneath its center,1.0 mm from one of the faces.     A) 0.68 N/C B) 14 N/C C) 23 N/C D) 34 N/C E) 57 N/C" class="answers-bank-image d-inline" rel="preload" > -11 C distributed uniformly throughout its volume.Use Gauss's law to determine the electric field at point P,which is located within the slab beneath its center,1.0 mm from one of the faces.     A) 0.68 N/C B) 14 N/C C) 23 N/C D) 34 N/C E) 57 N/C" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  0.68 N/C
B)  14 N/C
C)  23 N/C
D)  34 N/C
E)  57 N/C A

Question 10

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.

Question 11

Two concentric spheres are shown in the figure.The inner sphere is a solid nonconductor and carries a charge of +5.00 µC uniformly distributed over its outer surface.The outer sphere is a conducting shell that carries a net charge of -8.00 µC.No other charges are present.The radii shown in the figure have the values R1 = 10.0 cm,R2 = 20.0 cm,and R3 = 30.0 cm.(k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)
(a)Find the total excess charge on the inner and outer surfaces of the conducting sphere.
(b)Find the magnitude and direction of the electric field at the following distances r from the center of the inner sphere: (i)r = 9.5 cm,(ii)r = 15.0 cm,(iii)r = 27.0 cm,(iv)r = 35.0 cm.

Accepted Answer

(a)-5.00 µC (inner surface),-3...

Question 12

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/4

Question 13

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.

Question 14

Consider two closely spaced and oppositely charged parallel metal plates.The plates are square with sides of length L and carry charges Q and -Q on their facing surfaces.What is the magnitude of the electric field in the region between the plates?

Accepted Answer

A)  E = 
B)  E = 
C)  E = 0
D)  E = 
E)  E =

Question 15

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

Question 16

Two extremely large nonconducting horizontal sheets each carry uniform charge density on the surfaces facing each other.The upper sheet carries +5.00 µC/m2.The electric field midway between the sheets is 4.25 × 105 N/C pointing downward.What is the surface charge density on the lower sheet? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Accepted Answer

Question 17

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.

Question 18

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  False

Question 19

The graph in the figure shows the electric field strength (not the field lines)as a function of distance from the center for a pair of concentric uniformly charged spheres.Which of the following situations could the graph plausibly represent? (There may be more than one correct choice.)  
A)a positively charged conducting sphere within another positively charged conducting sphere
B)a positively charged conducting sphere within an uncharged conducting sphere
C)a solid nonconducting sphere,uniformly charged throughout its volume,inside of a positively charged conducting sphere
D)a positively charged nonconducting thin-walled spherical shell inside of a positively charged conducting sphere
E)a positively charged nonconducting thin-walled spherical shell inside of another positively charged nonconducting thin-walled spherical shell

Accepted Answer

The answer of The graph in the figure shows the...

Question 20

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)  2E0

Exam 24: Gausss Law

A huge (essentially infinite) horizontal nonconducting sheet 10.0 cm thick has charge uniformly spread over both faces.The upper face carries +95.0 nC/m² while the lower face carries -25.0 nC/m².What is the magnitude of the electric field at a point within the sheet 2.00 cm below the upper face?

Correct Answer
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C

Correct Answer
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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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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?

Correct Answer
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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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Under electrostatic conditions,the electric field just outside the surface of any charged conductor

Correct Answer
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Correct Answer
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A

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

Correct Answer
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Correct Answer
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(a)-5.00 µC (inner surface),-3...
View Answer

Correct Answer
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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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Consider two closely spaced and oppositely charged parallel metal plates.The plates are square with sides of length L and carry charges Q and -Q on their facing surfaces.What is the magnitude of the electric field in the region between the plates?

Correct Answer
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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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Correct Answer
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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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False

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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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Exam 24: Gausss Law

A huge (essentially infinite) horizontal nonconducting sheet 10.0 cm thick has charge uniformly spread over both faces.The upper face carries +95.0 nC/m2 while the lower face carries -25.0 nC/m2.What is the magnitude of the electric field at a point within the sheet 2.00 cm below the upper face?

Correct AnswerverifiedC

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

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

Under electrostatic conditions,the electric field just outside the surface of any charged conductor

Correct AnswerverifiedShow Answer

Correct AnswerverifiedA

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

Correct AnswerverifiedShow Answer

Correct Answerverified(a)-5.00 µC (inner surface),-3...View AnswerShow Answer

Correct AnswerverifiedShow Answer

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 AnswerverifiedShow Answer

Consider two closely spaced and oppositely charged parallel metal plates.The plates are square with sides of length L and carry charges Q and -Q on their facing surfaces.What is the magnitude of the electric field in the region between the plates?

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedFalse

Correct AnswerverifiedShow Answer

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 AnswerverifiedShow Answer

A huge (essentially infinite) horizontal nonconducting sheet 10.0 cm thick has charge uniformly spread over both faces.The upper face carries +95.0 nC/m² while the lower face carries -25.0 nC/m².What is the magnitude of the electric field at a point within the sheet 2.00 cm below the upper face?

Correct Answer
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C

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 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?

Correct Answer
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Correct Answer
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Correct Answer
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A

Correct Answer
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Correct Answer
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(a)-5.00 µC (inner surface),-3...
View Answer

Correct Answer
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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
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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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False

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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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