ILQ Chapter23

8/7/2019 ILQ Chapter23

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Halliday/Resnick/Walker

Fundamentals of Physics 8th edition

Classroom Response System Questions

Chapter 23 Gauss Law

Interactive Lecture Questions


2/35

23.2.1. The end of a garden hose is enclosed in a mesh sphere of

radius 4 cm. If the hose delivers five liters per minute, how muchwater flows through the sphere each minute?

a) 0.0013 liters

b) 0.67 liters

c) 3.2 liters

d) 5.0 liters

e) 20 liters


3/35

23.2.1. The end of a garden hose is enclosed in a mesh sphere of

radius 4 cm. If the hose delivers five liters per minute, how muchwater flows through the sphere each minute?

a) 0.0013 liters

b) 0.67 liters

c) 3.2 liters

d) 5.0 liters

e) 20 liters


4/35

23.2.2. The a solid brass sphere of radius 3 cm is placed 0.5 m directly

below a water faucet. The flow of water from the faucet is twoliters per minute. How much water flows through the sphere each

minute?

a) zero liters

b) 0.018 liters

c) 0.09 liters

d) 2 liters

e) 6 liters


5/35

23.2.2. The a solid brass sphere of radius 3 cm is placed 0.5 m directly

below a water faucet. The flow of water from the faucet is twoliters per minute. How much water flows through the sphere each

minute?

a) zero liters

b) 0.018 liters

c) 0.09 liters

d) 2 liters

e) 6 liters


6/35


7/35


8/35

23.3.1. When you calculate the electric flux through a Gaussian

surface, of what are you determining the flow through the surface?

a) charge

b) electric current

c) electric energy

d) electric field

e) None of the above answers are correct.


9/35

23.3.1. When you calculate the electric flux through a Gaussian

surface, of what are you determining the flow through the surface?

a) charge

b) electric current

c) electric energy

d) electric field

e) None of the above answers are correct.


10/35

23.3.2. Consider the five situations shown. Each one contains either a chargeq or a charge

2q. A Gaussian surface surrounds the charged particle in each case. Considering the

electric flux through each of the Gaussian surfaces, which of the following comparativestatements is correct?

a)

b)

c)

d)

e)

2 4 1 3 = > =

1 3 2 4 = > =

2 1 4 3 > > >

3 4 2 1 = > =

4 3 2 1 > > >


11/35

23.3.2. Consider the five situations shown. Each one contains either a chargeq or a charge

2q. A Gaussian surface surrounds the charged particle in each case. Considering the

electric flux through each of the Gaussian surfaces, which of the following comparativestatements is correct?

a)

b)

c)

d)

e)

2 4 1 3 = > =

1 3 2 4 = > =

2 1 4 3 > > >

3 4 2 1 = > =

4 3 2 1 > > >


12/35


13/35

23.3.3. When a particle with a charge Q is surrounded by a spherical

Gaussian surface, the electric flux through the surface is

S. Considerwhat would happen if the particle was surrounded by a cylindrical

Gaussian surface or a Gaussian cube. How would the fluxes through the

cylindrical Cyl and cubic Cubic surfaces compare to S?

a)

b)

c)

d)

e)

S Cubic Cyl = >

S Cyl Cubic > =

S Cyl Cubic = =

S Cubic Cyl < <

S Cubic Cyl > >


14/35

23.4.1. A spherical Gaussian surface of radiusR is surrounding a

particle with a net charge q. If the spherical Gaussian surface isreplaced by a cube, under what conditions would the electric flux

through the sides of the cube be the same as through the spherical

surface?

a) under all conditions

b) if the sides of the cube are of lengthR

c) if the sides of the cube are of length 2R

d) if the diagonals of the cube are of length 2R

e) under no conditions


15/35

23.4.1. A spherical Gaussian surface of radiusR is surrounding a

particle with a net charge q. If the spherical Gaussian surface isreplaced by a cube, under what conditions would the electric flux

through the sides of the cube be the same as through the spherical

surface?

a) under all conditions

b) if the sides of the cube are of lengthR

c) if the sides of the cube are of length 2R

d) if the diagonals of the cube are of length 2R

e) under no conditions


16/35

23.4.2. Using Gauss law, find the approximate magnitude of the

electric field at the surface of a cube that has 0.10-m sides and auniform volume charge density = 2.0 109 C/m3.

a) 0.042 N/C

b) 7.1 N/C

c) 23 N/C

d) 44 N/C

e) 116 N/C


17/35


electric field at the surface of a cube that has 0.10-m sides and auniform volume charge density = 2.0 109 C/m3.

a) 0.042 N/C

b) 7.1 N/C

c) 23 N/C

d) 44 N/C

e) 116 N/C


18/35

23.4.3. Gauss law may be written: . Which of

the following statements concerning the charge q is true?

a) The charge q is the sum of all charges.

b) The charge q is the sum of all charges on the Gaussian surface.

c) The charge q is the sum of all charges inside the Gaussian surface.

d) The electric field due to q is zero inside the Gaussian surface.

e) The charge q is the amount of charge present whenever the electric

field is constant.

0

q E dA

= =


19/35

23.4.3. Gauss law may be written: . Which of

the following statements concerning the charge q is true?

a) The charge q is the sum of all charges.

b) The charge q is the sum of all charges on the Gaussian surface.

c) The charge q is the sum of all charges inside the Gaussian surface.

d) The electric field due to q is zero inside the Gaussian surface.

e) The charge q is the amount of charge present whenever the electric

field is constant.

0

q E dA

= =


20/35

23.6.1. A conducting shell with an outer radius of 2.5 cm and an inner

radius of 1.5 cm has an excess charge of 1.5 107

C. What is thesurface charge density on the inner wall of the shell?

a) 1.5 109 C/m2

b) 2.9 1010 C/m2

c) 4.8 1010 C/m2

d) 8.5 10

9 C/m2

e) None of the above answers is correct.


21/35

23.6.1. A conducting shell with an outer radius of 2.5 cm and an inner

radius of 1.5 cm has an excess charge of 1.5 107

C. What is thesurface charge density on the inner wall of the shell?

a) 1.5 109 C/m2

b) 2.9 1010 C/m2

c) 4.8 1010 C/m2

d) 8.5 10

9 C/m2

e) None of the above answers is correct.


22/35

23.6.2. A metal sphere with a net charge Q is at the center of an insulating sphere of radiusR. What is the

magnitude of the electric field at a point located at r>R?

a)

b)

c)

d)

e)

0

14

QERr

=

20

1

4

QE

r=

20

1

4

Q

E R=

0

1

4

QE

r=

0

1

4

QE

R

=


23/35

23.6.2. A metal sphere with a net charge Q is at the center of an insulating sphere of radiusR. What is the

magnitude of the electric field at a point located at r>R?

a)

b)

c)

d)

e)

0

14

QERr

=

20

1

4

QE

r=

20

1

4

Q

E R=

0

1

4

QE

r=

0

1

4

QE

R

=


24/35


electric field at the center of a circular face of a solid cylinder thathas a length of 0.050-m, a radius of 0.020 m, and a uniform

volume charge density = 2.0 109 C/m3.

a) 0.42 N/C

b) 11 N/C

c) 23 N/C

d) 33 N/C

e) 76 N/C


25/35


electric field at the center of a circular face of a solid cylinder thathas a length of 0.050-m, a radius of 0.020 m, and a uniform

volume charge density = 2.0 109 C/m3.

a) 0.42 N/C

b) 11 N/C

c) 23 N/C

d) 33 N/C

e) 76 N/C


26/35

23.7.2. A straight, copper wire has a length of 0.50 m and an excess

charge of 1.0 105

C distributed uniformly along its length.Find the magnitude of the electric field at a point located 7.5 10

3 m from the midpoint of the wire.

a) 1.9 1010 N/C

b) 7.3 108 N/C

c) 6.1 1013 N/C

d) 1.5 106 N/C

e) 4.8 107 N/C


27/35

23.7.2. A straight, copper wire has a length of 0.50 m and an excess

charge of 1.0 105

C distributed uniformly along its length.Find the magnitude of the electric field at a point located 7.5 10

3 m from the midpoint of the wire.

a) 1.9 1010 N/C

b) 7.3 108 N/C

c) 6.1 1013 N/C

d) 1.5 106 N/C

e) 4.8 107 N/C


28/35

23.8.1. An infinite slab of electrically insulating material has a thickness t. The slab

has a uniform volume charge density . Which one of the following expressions

gives the electric field at a point P at a depth t drelative to the surface?

a)

b)

c)

d)

e)

0

tE

=

0

dE

=

0( )E

t d

=

0

( )t dE

=

0

Et

=


29/35

23.8.1. An infinite slab of electrically insulating material has a thickness t. The slab

has a uniform volume charge density . Which one of the following expressions

gives the electric field at a point P at a depth t drelative to the surface?

a)

b)

c)

d)

e)

0

tE

=

0

dE

=

0( )E

t d

=

0

( )t dE

=

0

Et

=


30/35

23.8.2. A large sheet of electrically insulating material has a uniform charge density .

Lets compare the electric field produced by the insulating sheet with that produced

by a thin metal (electrically conducting) slab with /2 charge density distributed onone large surface of the slab and /2 distributed over the surface on the opposite

side. How does the electric field at a distance dfrom each surface compare?

a) The electric field near the insulating sheet is four times that near the conducting slab.

b) The electric field near the insulating sheet is twice that near the conducting slab.

c) The electric field near the insulating sheet is the same as that near the conducting slab.

d) The electric field near the insulating sheet is one half that near the conducting slab.

e) The electric field near the insulating sheet is one fourth that near the conducting slab.


31/35

23.8.2. A large sheet of electrically insulating material has a uniform charge density .

Lets compare the electric field produced by the insulating sheet with that produced

by a thin metal (electrically conducting) slab with /2 charge density distributed onone large surface of the slab and /2 distributed over the surface on the opposite

side. How does the electric field at a distance dfrom each surface compare?

a) The electric field near the insulating sheet is four times that near the conducting slab.

b) The electric field near the insulating sheet is twice that near the conducting slab.

c) The electric field near the insulating sheet is the same as that near the conducting slab.

d) The electric field near the insulating sheet is one half that near the conducting slab.

e) The electric field near the insulating sheet is one fourth that near the conducting slab.


32/35

23.9.1. A spherical shell has an outer radius of 0.10 m and an inner

radius of 0.040 cm. Within the shell is a charge q =

2.0 109

C.What is the surface charge density on the outer surface of the

shell?

a) 2.0 109 C/m2

b) 9.9 109 C/m2

c) 1.6 108 C/m2

d) 3.8 1010 C/m2

e) 8.0 108 C/m2


33/35

23.9.1. A spherical shell has an outer radius of 0.10 m and an inner

radius of 0.040 cm. Within the shell is a charge q =

2.0 10

9

C.What is the surface charge density on the outer surface of the

shell?

a) 2.0 109 C/m2

b) 9.9 109 C/m2

c) 1.6 108 C/m2

d) 3.8 1010 C/m2

e) 8.0 108 C/m2


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23.9.2. A total charge of 6.50 C is uniformly distributed within a

sphere that has a radius of 0.150 m. What is the magnitude anddirection of the electric field at 0.300 m from the surface of the

sphere?

a) 2.89 105 N/C, radially inward

b) 9.38 105 N/C, radially outward

c) 1.30 106 N/C, radially inward

d) 6.49 105 N/C, radially outward

e) 4.69 105 N/C, radially inward


35/35

23.9.2. A total charge of 6.50 C is uniformly distributed within a

sphere that has a radius of 0.150 m. What is the magnitude anddirection of the electric field at 0.300 m from the surface of the

sphere?

a) 2.89 105 N/C, radially inward

b) 9.38 105 N/C, radially outward

c) 1.30 106 N/C, radially inward

d) 6.49 105 N/C, radially outward

e) 4.69 105 N/C, radially inward

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ILQ Chapter23

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