Question 1

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 just outside the surface of the sphere is:

Accepted Answer

A) 0 N/C 
B) 450 N/C 
C) 900 N/C 
D) 4500 N/C 
E) 90,000 N/C 
A) 0 N/C 
B) 450 N/C 
C) 900 N/C 
D) 4500 N/C 
E) 90,000 N/C

Question 2

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 above 
A) toward the surface 
B) away from the surface 
C) toward Q 
D) away from Q 
E) none of the above

Question 3

The table below gives the electric flux 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.

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, 2 
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

Question 4

The area vector for a flat surface:

Accepted Answer

A) is parallel to the surface and has a magnitude equal to the length of a side of the surface. 
B) is perpendicular to the surface and has a magnitude equal to the length of a side of the surface. 
C) is parallel to the surface and has a magnitude equal to the area of the surface. 
D) is perpendicular to the surface and has a magnitude equal to the area of the surface. 
E) none of the above. 
A) is parallel to the surface and has a magnitude equal to the length of a side of the surface. 
B) is perpendicular to the surface and has a magnitude equal to the length of a side of the surface. 
C) is parallel to the surface and has a magnitude equal to the area of the surface. 
D) is perpendicular to the surface and has a magnitude equal to the area of the surface. 
E) none of the above.

Question 5

Two large insulating parallel plates carry charge of equal magnitude, one positive and the other negative, 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 and 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 and 4 and 5 tie 
A) 1, 2, 3, 4, 5 
B) 5, 4, 3, 2, 1 
C) 1 and 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 and 4 and 5 tie

Question 6

To calculate the flux through a curved surface,

Accepted Answer

A) the area vector has to be perpendicular to the surface somewhere 
B) you must divide the surface into pieces that are tiny enough to be almost flat 
C) the surface must be spherical 
D) the surface cannot be curved very much; then you can treat it as though it were flat 
E) actually the flux through a curved surface cannot be calculated. 
A) the area vector has to be perpendicular to the surface somewhere 
B) you must divide the surface into pieces that are tiny enough to be almost flat 
C) the surface must be spherical 
D) the surface cannot be curved very much; then you can treat it as though it were flat 
E) actually the flux through a curved surface cannot be calculated.

Question 7

A point particle with charge q is placed inside a cube but not at its center.The electric flux through any one side of the cube:

Accepted Answer

A) is zero 
B) is q/$\varepsilon$0 
C) is q/4$\varepsilon$0 
D) is q/6$\varepsilon$0 
E) cannot be computed using Gauss' law 
A) is zero 
B) is q/$\varepsilon$0 
C) is q/4$\varepsilon$0 
D) is q/6$\varepsilon$0 
E) cannot be computed using Gauss' law

Question 8

A conducting sphere of radius 5.0 cm carries a net charge of 7.5 µC.What is the surface charge density on the sphere?

Accepted Answer

A) 2.4 x 10-2 C/m2 
B) 1.4 x 10-2 C/m2 
C) 9.5 x 10-4 C/m2  
D) 2.4 x 10-4 C/m2 
E) 6.0 x 10-5 C/m2 
A) 2.4 x 10-2 C/m2 
B) 1.4 x 10-2 C/m2 
C) 9.5 x 10-4 C/m2  
D) 2.4 x 10-4 C/m2 
E) 6.0 x 10-5 C/m2

Question 9

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 surface 
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 surface

Question 10

Charge Q is distributed uniformly throughout a spherical insulating shell.The net electric flux through the inner surface of the shell is:

Accepted Answer

A) 0 
B) Q/$\varepsilon$0 
C) 2Q/$\varepsilon$0 
D) Q/4 $\pi$$\varepsilon$0 
E) Q/2 $\pi$$\varepsilon$0 
A) 0 
B) Q/$\varepsilon$0 
C) 2Q/$\varepsilon$0 
D) Q/4 $\pi$$\varepsilon$0 
E) Q/2 $\pi$$\varepsilon$0

Question 11

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 $\pi$$\varepsilon$0R2 
B) Q/ $\pi$$\varepsilon$0R2 
C) 3Q/4 $\pi$$\varepsilon$0R2 
D) Q/8 $\pi$$\varepsilon$0R2 
E) none of these 
A) Q/4 $\pi$$\varepsilon$0R2 
B) Q/ $\pi$$\varepsilon$0R2 
C) 3Q/4 $\pi$$\varepsilon$0R2 
D) Q/8 $\pi$$\varepsilon$0R2 
E) none of these

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/$\varepsilon$0 
B) q/4 $\pi$$\varepsilon$0 
C) q/4$\varepsilon$0 
D) q/6$\varepsilon$0 
E) q/16$\varepsilon$0 
A) q/$\varepsilon$0 
B) q/4 $\pi$$\varepsilon$0 
C) q/4$\varepsilon$0 
D) q/6$\varepsilon$0 
E) q/16$\varepsilon$0

Question 13

Two large conducting parallel plates carry charge of equal magnitude, one positive and the other negative, 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 and 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 and 4 and 5 tie 
A) 1, 2, 3, 4, 5 
B) 5, 4, 3, 2, 1 
C) 1 and 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 and 4 and 5 tie

Question 14

Consider Gauss law: .Which of the following is true?

Accepted Answer

A) must be the electric field due to the enclosed charge 
B) If q = 0 then everywhere on the Gaussian surface 
C) If the three particles inside have charges of +q, +q and -2q, then the integral is zero 
D) On the surface is everywhere parallel to 
E) If a charge is placed outside the surface, then it cannot affect at any point on the surface 
A) must be the electric field due to the enclosed charge 
B) If q = 0 then everywhere on the Gaussian surface 
C) If the three particles inside have charges of +q, +q and -2q, then the integral is zero 
D) On the surface is everywhere parallel to 
E) If a charge is placed outside the surface, then it cannot affect at any point on the surface

Question 15

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

Accepted Answer

A) 0 
B) Q/$\varepsilon$0 
C) 2Q/$\varepsilon$0 
D) Q/4$\varepsilon$0 
E) Q/2 $\pi$$\varepsilon$0 
A) 0 
B) Q/$\varepsilon$0 
C) 2Q/$\varepsilon$0 
D) Q/4$\varepsilon$0 
E) Q/2 $\pi$$\varepsilon$0

Question 16

The flux of the electric field (24 N/C)+ (30 N/C)+ (16 N/C)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/C 
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

Question 17

Which of the following graphs represents the magnitude of the electric field as a function of the distance from the center of a solid charged conducting sphere of radius R?

Accepted Answer

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

Question 18

A particle with charge 5.0$\mu$C is placed at the corner of a cube.The total electric flux through all sides of the cube is:

Accepted Answer

A) 0 N.m2/C 
B) 7.1 *104 N.m2/C 
C) 9.4 *104 N.m2/C 
D) 1.4 *105 N.m2/C 
E) 5.6 * 105 N.m2/C 
A) 0 N.m2/C 
B) 7.1 *104 N.m2/C 
C) 9.4 *104 N.m2/C 
D) 1.4 *105 N.m2/C 
E) 5.6 * 105 N.m2/C

Question 19

A hollow conductor is positively charged.A small uncharged metal ball is lowered by a silk thread through a small opening in the top of the conductor and allowed to touch its inner surface.After the ball is removed, it will have:

Accepted Answer

A) a positive charge 
B) a negative charge 
C) no appreciable charge 
D) a charge whose sign depends on what part of the inner surface it touched 
E) a charge whose sign depends on where the small hole is located in the conductor 
A) a positive charge 
B) a negative charge 
C) no appreciable charge 
D) a charge whose sign depends on what part of the inner surface it touched 
E) a charge whose sign depends on where the small hole is located in the conductor

Exam 23: Gauss Law

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 just outside the surface of the sphere is:

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:

The table below gives the electric flux 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.

The area vector for a flat surface:

Two large insulating parallel plates carry charge of equal magnitude, one positive and the other negative, 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.

To calculate the flux through a curved surface,

A point particle with charge q is placed inside a cube but not at its center.The electric flux through any one side of the cube:

A conducting sphere of radius 5.0 cm carries a net charge of 7.5 µC.What is the surface charge density on the sphere?

Choose the INCORRECT statement:

Charge Q is distributed uniformly throughout a spherical insulating shell.The net electric flux through the inner surface of the shell is:

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:

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:

Two large conducting parallel plates carry charge of equal magnitude, one positive and the other negative, 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.

Consider Gauss law: .Which of the following is true?

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

The flux of the electric field (24 N/C)+ (30 N/C)+ (16 N/C)through a 2.0 m2 portion of the yz plane is:

Which of the following graphs represents the magnitude of the electric field as a function of the distance from the center of a solid charged conducting sphere of radius R?

A particle with charge 5.0 μ\muμ C is placed at the corner of a cube.The total electric flux through all sides of the cube is:

A hollow conductor is positively charged.A small uncharged metal ball is lowered by a silk thread through a small opening in the top of the conductor and allowed to touch its inner surface.After the ball is removed, it will have:

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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 just outside the surface of the sphere is:

The flux of the electric field (24 N/C)+ (30 N/C)+ (16 N/C)through a 2.0 m² portion of the yz plane is:

A particle with charge 5.0 $\mu$ C is placed at the corner of a cube.The total electric flux through all sides of the cube is: