Question 1

Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N . m2/C through the outer surface of the shell is:

Accepted Answer

A)   0
B)   Q/ ε\varepsilonε 0
C)   2Q/ ε\varepsilonε 0
D)   Q/4 ε\varepsilonε 0
E)   Q/2  π\piπε\varepsilonε 0 F) A) and B)
G) C) and D)

Question 2

The table below gives the electric flux in N .m2/C through the ends and round surfaces of four gaussian surfaces in the form of cylinders. Rank the cylinders according to the charge inside, from the most negative to the most positive. 2/C through the ends and round surfaces of four gaussian surfaces in the form of cylinders. Rank the cylinders according to the charge inside, from the most negative to the most positive.   A)  1, 2, 3, 4 B)  4, 3, 2, 1 C)  3, 4, 2, 1 D)  3, 1, 4, 2 E)  4, 3, 1, 2" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   1, 2, 3, 4
B)   4, 3, 2, 1
C)   3, 4, 2, 1
D)   3, 1, 4, 2
E)   4, 3, 1, 2F) B) and E)
G) A) and B)

Question 3

Positive charge Q is distributed uniformly throughout an insulating sphere of radius R, centered at the origin. A particle with a positive charge Q is placed at x = 2R on the x axis. The magnitude of the electric field at x = R/2 on the x axis is:

Accepted Answer

A)   Q/4  π\piπε\varepsilonε 0R2
B)   Q/8  π\piπε\varepsilonε 0R2
C)   7Q/18  π\piπε\varepsilonε 0/R2
D)   11Q/18  π\piπε\varepsilonε 0R2
E)   none of these F) D) and E)
G) A) and C)

Question 4

Charge Q is distributed uniformly throughout an insulating sphere of radius R. The magnitude of the electric field at a point R/2 from the center is:

Accepted Answer

A)   Q/4  π\piπε\varepsilonε 0R2
B)   Q/  π\piπε\varepsilonε 0R2
C)   3Q/4  π\piπε\varepsilonε 0R2
D)   Q/8  π\piπε\varepsilonε 0R2
E)   none of these F) A) and D)
G) C) and E)

Question 5

10 C of charge are placed on a spherical conducting shell. A particle with a charge of -3-C point charge is placed at the center of the cavity. The net charge in coulombs on the inner surface of the shell is:

Accepted Answer

A)   -7
B)   -3
C)   0
D)   +3
E)   +7F) All of the above
G) A) and B)

Question 6

A 30-N/C uniform electric field points perpendicularly toward the left face of a large neutral conducting sheet. The area charge density on the left and right faces, respectively, are:

Accepted Answer

A)   -2.7 * 10-9 C/m2; +2.7 * 10-9 C/m 2
B)   +2.7 * 10-9 C/m2; -2.7 * 10-9 C/m 2
C)   -5.3 *10-9 C/m2; +5.3 * 10-9 C/m 2
D)   +5.3 * 10-9 C/m2; -5.3 *10-9 C/m 2
E)   0; 0F) B) and C)
G) None of the above

Question 7

10 C of charge are placed on a spherical conducting shell. A particle with a charge of -3C is placed at the center of the cavity. The net charge in coulombs on the outer surface of the shell is:

Accepted Answer

A)   -7
B)   -3
C)   0
D)   +3
E)   +7F) A) and B)
G) B) and E)

Question 8

The flux of the electric field 2 portion of the yz plane is: A)  32 N . m2/C B)  34 N . m2/C C)  42 N . m2/C D)  48 N. m2/C E)  60 N .m2/C" class="answers-bank-image d-inline" rel="preload" > through a 2.0 m2 portion of the yz plane is:

Accepted Answer

A)   32 N . m2/C
B)   34 N . m2/C
C)   42 N . m2/C
D)   48 N. m2/C
E)   60 N .m2/CF) D) and E)
G) A) and B)

Question 9

Positive charge Q is placed on a conducting spherical shell with inner radius R1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field produced by the charge on the inner surface at a point in the interior of the conductor a distance r from the center, is:

Accepted Answer

A)   0
B)   1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field produced by the charge on the inner surface at a point in the interior of the conductor a distance r from the center, is: 
A)   0 
B)     
C)     
D)   q/4  \pi\varepsilon 0r2 
E)   Q/4  \pi\varepsilon 0r2 " class="answers-bank-image d-inline" rel="preload" >
C)   1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field produced by the charge on the inner surface at a point in the interior of the conductor a distance r from the center, is: 
A)   0 
B)     
C)     
D)   q/4  \pi\varepsilon 0r2 
E)   Q/4  \pi\varepsilon 0r2 " class="answers-bank-image d-inline" rel="preload" >
D)   q/4  π\piπε\varepsilonε 0r2
E)   Q/4  π\piπε\varepsilonε 0r2 F) None of the above
G) B) and E)

Question 10

A point charge is placed at the center of a spherical Gaussian surface. The electric flux  ϕ\phiϕ E is changed if:

Accepted Answer

A)   the sphere is replaced by a cube of the same volume
B)   the sphere is replaced by a cube of one-tenth the volume
C)   the point charge is moved off center (but still inside the original sphere) 
D)   the point charge is moved to just outside the sphere
E)   a second point charge is placed just outside the sphere F) B) and D)
G) B) and E)

Question 11

A long line of charge with c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: A)    and  \lambda c B)    and  \lambda c +   C)    and  \lambda c -  \lambda c D)    +  \lambda c and  \lambda c -   E)    -  \lambda c and  \lambda c +   " class="answers-bank-image d-inline" rel="preload" > charge per unit length runs along the cylindrical axis of a cylindrical shell which carries a charge per unit length of  λ\lambdaλ c. The charge per unit length on the inner and outer surfaces of the shell, respectively are:

Accepted Answer

A)   c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: 
A)     and  \lambda c 
B)     and  \lambda c +   
C)     and  \lambda c -  \lambda c 
D)     +  \lambda c and  \lambda c -   
E)     -  \lambda c and  \lambda c +   " class="answers-bank-image d-inline" rel="preload" > and  λ\lambdaλ c
B)   c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: 
A)     and  \lambda c 
B)     and  \lambda c +   
C)     and  \lambda c -  \lambda c 
D)     +  \lambda c and  \lambda c -   
E)     -  \lambda c and  \lambda c +   " class="answers-bank-image d-inline" rel="preload" > and  λ\lambdaλ c + c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: 
A)     and  \lambda c 
B)     and  \lambda c +   
C)     and  \lambda c -  \lambda c 
D)     +  \lambda c and  \lambda c -   
E)     -  \lambda c and  \lambda c +   " class="answers-bank-image d-inline" rel="preload" >
C)   c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: 
A)     and  \lambda c 
B)     and  \lambda c +   
C)     and  \lambda c -  \lambda c 
D)     +  \lambda c and  \lambda c -   
E)     -  \lambda c and  \lambda c +   " class="answers-bank-image d-inline" rel="preload" > and  λ\lambdaλ c -  λ\lambdaλ c
D)   c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: 
A)     and  \lambda c 
B)     and  \lambda c +   
C)     and  \lambda c -  \lambda c 
D)     +  \lambda c and  \lambda c -   
E)     -  \lambda c and  \lambda c +   " class="answers-bank-image d-inline" rel="preload" > +  λ\lambdaλ c and  λ\lambdaλ c - c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: 
A)     and  \lambda c 
B)     and  \lambda c +   
C)     and  \lambda c -  \lambda c 
D)     +  \lambda c and  \lambda c -   
E)     -  \lambda c and  \lambda c +   " class="answers-bank-image d-inline" rel="preload" >
E)   c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: 
A)     and  \lambda c 
B)     and  \lambda c +   
C)     and  \lambda c -  \lambda c 
D)     +  \lambda c and  \lambda c -   
E)     -  \lambda c and  \lambda c +   " class="answers-bank-image d-inline" rel="preload" > -  λ\lambdaλ c and  λ\lambdaλ c + c. The charge per unit length on the inner and outer surfaces of the shell, respectively are: 
A)     and  \lambda c 
B)     and  \lambda c +   
C)     and  \lambda c -  \lambda c 
D)     +  \lambda c and  \lambda c -   
E)     -  \lambda c and  \lambda c +   " class="answers-bank-image d-inline" rel="preload" > F) A) and D)
G) A) and B)

Question 12

A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is:

Accepted Answer

A)   q/ ε\varepsilonε 0
B)   q/4  π\piπε\varepsilonε 0
C)   q/4 ε\varepsilonε 0
D)   q/8 ε\varepsilonε 0
E)   q/16 ε\varepsilonε 0 F) A) and B)
G) A) and C) D

Question 13

Two large parallel plates carry positive charge of equal magnitude that is distributed uniformly over their inner surfaces. Rank the points 1 through 5 according to the magnitude of the electric field at the points, least to greatest.

Accepted Answer

A)   1, 2, 3, 4, 5
B)   5, 4, 3, 2, 1
C)   1, 4, and 5 tie, then 2 and 3 tie
D)   2 and 3 tie, then 1 and 4 tie, then 5
E)   2 and 3 tie, then 1, 4, and 5 tieF) None of the above
G) A) and C)

Question 14

A 3.5-cm radius hemisphere contains a total charge of 6.6 * 10-7 C. The flux through the rounded portion of the surface is 9.8 *104 N .m2/C. The flux through the flat base is:

Accepted Answer

A)   0
B)   +2.3* 104 N .m2/C
C)   -2.3 * 104 N .m2/C
D)   -9.8 * 104 N .m2/C
E)   +9.8 * 104 N .m2/CF) B) and C)
G) None of the above

Question 15

A particle with charge Q is placed outside a large neutral conducting sheet. At any point in the interior of the sheet the electric field produced by charges on the surface is directed:

Accepted Answer

A)   toward the surface
B)   away from the surface
C)   toward Q
D)   away from Q
E)   none of the aboveF) C) and D)
G) A) and B)

Question 16

Positive charge Q is placed on a conducting spherical shell with inner radius R1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is:

Accepted Answer

A)   1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is: 
A)     
B)     
C)   q/4  \pi\varepsilon 0r2 
D)   (q + Q) /4  \pi\varepsilon 0r2 
E)     " class="answers-bank-image d-inline" rel="preload" >
B)   1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is: 
A)     
B)     
C)   q/4  \pi\varepsilon 0r2 
D)   (q + Q) /4  \pi\varepsilon 0r2 
E)     " class="answers-bank-image d-inline" rel="preload" >
C)   q/4  π\piπε\varepsilonε 0r2
D)   (q + Q) /4  π\piπε\varepsilonε 0r2
E)   1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is: 
A)     
B)     
C)   q/4  \pi\varepsilon 0r2 
D)   (q + Q) /4  \pi\varepsilon 0r2 
E)     " class="answers-bank-image d-inline" rel="preload" > F) A) and B)
G) B) and E) D

Question 17

A round wastepaper basket with a 0.15-m radius opening is in a uniform electric field of 300 N/C, perpendicular to the opening. The total flux through the sides and bottom, in N . m2/C, is:

Accepted Answer

A)   0
B)   4.2
C)   21
D)   280
E)   can't tell without knowing the areas of the sides and bottomF) A) and E)
G) A) and B)

Question 18

Choose the INCORRECT statement:

Accepted Answer

A)   Gauss' law can be derived from Coulomb's law
B)   Gauss' law states that the net number of lines crossing any closed surface in an outward direction is proportional to the net charge enclosed within the surface
C)   Coulomb's law can be derived from Gauss' law and symmetry
D)   Gauss' law applies to a closed surface of any shape
E)   According to Gauss' law, if a closed surface encloses no charge, then the electric field must vanish everywhere on the surfaceF) B) and E)
G) A) and D) E

Question 19

A physics instructor in an anteroom charges an electrostatic generator to 25  μ\muμ C, then carries it into the lecture hall. The net electric flux in N .m2/C through the lecture hall walls is:

Accepted Answer

A)   0
B)   25 * 10-6
C)   2.2 * 105
D)   2.8 *106
E)   can't tell unless the lecture hall dimensions are given F) A) and B)
G) B) and E)

Question 20

A conducting sphere of radius 0.01 m has a charge of 1.0 * 10-9 C deposited on it. The magnitude of the electric field in N/C just outside the surface of the sphere is:

Accepted Answer

A)   zero
B)   450
C)   900
D)   4500
E)   90,000F) A) and D)
G) B) and C)

Exam 23: Gauss Law

Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N . m²/C through the outer surface of the shell is:

Correct Answer
verified

The table below gives the electric flux in N .m²/C through the ends and round surfaces of four gaussian surfaces in the form of cylinders. Rank the cylinders according to the charge inside, from the most negative to the most positive.

Correct Answer
verified

Positive charge Q is distributed uniformly throughout an insulating sphere of radius R, centered at the origin. A particle with a positive charge Q is placed at x = 2R on the x axis. The magnitude of the electric field at x = R/2 on the x axis is:

Correct Answer
verified

Charge Q is distributed uniformly throughout an insulating sphere of radius R. The magnitude of the electric field at a point R/2 from the center is:

Correct Answer
verified

10 C of charge are placed on a spherical conducting shell. A particle with a charge of -3-C point charge is placed at the center of the cavity. The net charge in coulombs on the inner surface of the shell is:

Correct Answer
verified

A 30-N/C uniform electric field points perpendicularly toward the left face of a large neutral conducting sheet. The area charge density on the left and right faces, respectively, are:

Correct Answer
verified

10 C of charge are placed on a spherical conducting shell. A particle with a charge of -3C is placed at the center of the cavity. The net charge in coulombs on the outer surface of the shell is:

Correct Answer
verified

The flux of the electric field through a 2.0 m² portion of the yz plane is:

Correct Answer
verified

Correct Answer
verified

A point charge is placed at the center of a spherical Gaussian surface. The electric flux $\phi$ _E is changed if:

Correct Answer
verified

Correct Answer
verified

A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is:

Correct Answer
verified
D

Two large parallel plates carry positive charge of equal magnitude that is distributed uniformly over their inner surfaces. Rank the points 1 through 5 according to the magnitude of the electric field at the points, least to greatest.

Correct Answer
verified

A 3.5-cm radius hemisphere contains a total charge of 6.6 * 10^-⁷ C. The flux through the rounded portion of the surface is 9.8 *10⁴ N .m²/C. The flux through the flat base is:

Correct Answer
verified

A particle with charge Q is placed outside a large neutral conducting sheet. At any point in the interior of the sheet the electric field produced by charges on the surface is directed:

Correct Answer
verified

Positive charge Q is placed on a conducting spherical shell with inner radius R₁ and outer radius R₂. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is:

Correct Answer
verified
D

A round wastepaper basket with a 0.15-m radius opening is in a uniform electric field of 300 N/C, perpendicular to the opening. The total flux through the sides and bottom, in N . m²/C, is:

Correct Answer
verified

Choose the INCORRECT statement:

Correct Answer
verified
E

A physics instructor in an anteroom charges an electrostatic generator to 25 $\mu$ C, then carries it into the lecture hall. The net electric flux in N .m²/C through the lecture hall walls is:

Correct Answer
verified

A conducting sphere of radius 0.01 m has a charge of 1.0 * 10^-⁹ C deposited on it. The magnitude of the electric field in N/C just outside the surface of the sphere is:

Correct Answer
verified

Exam 23: Gauss Law

Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N . m2/C through the outer surface of the shell is:

Correct AnswerverifiedShow Answer

The table below gives the electric flux in N .m2/C through the ends and round surfaces of four gaussian surfaces in the form of cylinders. Rank the cylinders according to the charge inside, from the most negative to the most positive.

Correct AnswerverifiedShow Answer

Positive charge Q is distributed uniformly throughout an insulating sphere of radius R, centered at the origin. A particle with a positive charge Q is placed at x = 2R on the x axis. The magnitude of the electric field at x = R/2 on the x axis is:

Correct AnswerverifiedShow Answer

Charge Q is distributed uniformly throughout an insulating sphere of radius R. The magnitude of the electric field at a point R/2 from the center is:

Correct AnswerverifiedShow Answer

10 C of charge are placed on a spherical conducting shell. A particle with a charge of -3-C point charge is placed at the center of the cavity. The net charge in coulombs on the inner surface of the shell is:

Correct AnswerverifiedShow Answer

A 30-N/C uniform electric field points perpendicularly toward the left face of a large neutral conducting sheet. The area charge density on the left and right faces, respectively, are:

Correct AnswerverifiedShow Answer

10 C of charge are placed on a spherical conducting shell. A particle with a charge of -3C is placed at the center of the cavity. The net charge in coulombs on the outer surface of the shell is:

Correct AnswerverifiedShow Answer

The flux of the electric field through a 2.0 m2 portion of the yz plane is:

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A point charge is placed at the center of a spherical Gaussian surface. The electric flux ϕ\phiϕ E is changed if:

Correct AnswerverifiedShow Answer

A long line of charge with charge per unit length runs along the cylindrical axis of a cylindrical shell which carries a charge per unit length of λ\lambdaλ c. The charge per unit length on the inner and outer surfaces of the shell, respectively are:

Correct AnswerverifiedShow Answer

A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is:

Correct AnswerverifiedD

Two large parallel plates carry positive charge of equal magnitude that is distributed uniformly over their inner surfaces. Rank the points 1 through 5 according to the magnitude of the electric field at the points, least to greatest.

Correct AnswerverifiedShow Answer

A 3.5-cm radius hemisphere contains a total charge of 6.6 * 10-7 C. The flux through the rounded portion of the surface is 9.8 *104 N .m2/C. The flux through the flat base is:

Correct AnswerverifiedShow Answer

A particle with charge Q is placed outside a large neutral conducting sheet. At any point in the interior of the sheet the electric field produced by charges on the surface is directed:

Correct AnswerverifiedShow Answer

Positive charge Q is placed on a conducting spherical shell with inner radius R1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is:

Correct AnswerverifiedD

A round wastepaper basket with a 0.15-m radius opening is in a uniform electric field of 300 N/C, perpendicular to the opening. The total flux through the sides and bottom, in N . m2/C, is:

Correct AnswerverifiedShow Answer

Choose the INCORRECT statement:

Correct AnswerverifiedE

A physics instructor in an anteroom charges an electrostatic generator to 25 μ\muμ C, then carries it into the lecture hall. The net electric flux in N .m2/C through the lecture hall walls is:

Correct AnswerverifiedShow Answer

A conducting sphere of radius 0.01 m has a charge of 1.0 * 10-9 C deposited on it. The magnitude of the electric field in N/C just outside the surface of the sphere is:

Correct AnswerverifiedShow Answer

Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N . m²/C through the outer surface of the shell is:

Correct Answer
verified

The table below gives the electric flux in N .m²/C through the ends and round surfaces of four gaussian surfaces in the form of cylinders. Rank the cylinders according to the charge inside, from the most negative to the most positive.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

The flux of the electric field through a 2.0 m² portion of the yz plane is:

Correct Answer
verified

Correct Answer
verified

A point charge is placed at the center of a spherical Gaussian surface. The electric flux $\phi$ _E is changed if:

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
D

Correct Answer
verified

A 3.5-cm radius hemisphere contains a total charge of 6.6 * 10^-⁷ C. The flux through the rounded portion of the surface is 9.8 *10⁴ N .m²/C. The flux through the flat base is:

Correct Answer
verified

Correct Answer
verified

Positive charge Q is placed on a conducting spherical shell with inner radius R₁ and outer radius R₂. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is:

Correct Answer
verified
D

A round wastepaper basket with a 0.15-m radius opening is in a uniform electric field of 300 N/C, perpendicular to the opening. The total flux through the sides and bottom, in N . m²/C, is:

Correct Answer
verified

Correct Answer
verified
E

A physics instructor in an anteroom charges an electrostatic generator to 25 $\mu$ C, then carries it into the lecture hall. The net electric flux in N .m²/C through the lecture hall walls is:

Correct Answer
verified

A conducting sphere of radius 0.01 m has a charge of 1.0 * 10^-⁹ C deposited on it. The magnitude of the electric field in N/C just outside the surface of the sphere is:

Correct Answer
verified