FINAL EXAM MODULE 22 PRACTICE
SCRIPT 2026 QUESTIONS WITH ANSWERS
GRADED A+
⫸ A very long (nearly infinite) wire is made of an insulating material.
The wire carries a charge, Q, which is distributed evenly along the entire
length of the wire, giving it a uniform linear charge density, . A
Gaussian cylinder of length L and radius R is coaxial with the wire and
encloses a portion of the charged wire. What is the charge enclosed by
the Gaussian cylinder? Answer: =gamma*L
⫸ A solid sphere of radius R is made of an insulating material. It holds
a charge, Q, which is distributed evenly throughout the sphere and gives
it a uniform volume charge density . What is the magnitude of the
electric field produced by the charged sphere inside the sphere at a radial
distance r from the sphere's center, where 0 < r < R? Answer: = pr/ 3e0
⫸ A thin, spherical shell of radius R is made of an insulating material.
This spherical shell holds a net charge of Q, which is distributed
uniformly over the surface of the spherical shell. What is the surface
charge density, , of this charged spherical shell? Answer: =Q/ 4piR^2
⫸ A metal conducting sphere of radius R holds a total charge Q. What
is the magnitude of the electric field produced by the charged sphere
inside the sphere at a radial distance r from the sphere's center, where 0
< r < R? Answer: E=0
, ⫸ A very large (nearly infinite) plane sheet is made of an insulating
material. The sheet carries a charge, Q, which is distributed evenly over
the entire surface area, giving it a uniform surface charge density, . A
Gaussian cylinder of length L and cross-sectional area A encloses a
portion of the charged sheet, as shown in the figure. What is the charge
enclosed by the Gaussian cylinder? Answer: = oA
⫸ A positive point charge q is surrounded by an imaginary sphere of
radius r, centered on the charge, as shown in the figure. Compare the
electric flux through this sphere to the electric flux through an imaginary
sphere of radius 2r, if it enclosed the same charge q. Answer: The
electric flux through the sphere of radius r is equal to the electric flux
through a sphere of radius 2r
⫸ A positive point charge q is surrounded by an imaginary sphere of
radius r, centered on the charge, as shown in the figure. If you replaced
the positive point charge with an equal but negative point charge, what is
true about the electric flux through the sphere? Answer: The electric flux
would be negative
⫸ A solid cylinder of length L and radius R is made of an insulating
material. This cylinder holds a net charge of Q that is evenly distributed
throughout the cylindrical volume. What is the volume charge density, ,
of this charged cylinder? Answer: p=Q/ piR^2L
⫸ A wire of length L is made of an insulating material. This wire holds
a net charge of Q that is distributed uniformly along the length of the
wire. What is the linear charge density, , of this charged wire? Answer:
gamma= Q/L
SCRIPT 2026 QUESTIONS WITH ANSWERS
GRADED A+
⫸ A very long (nearly infinite) wire is made of an insulating material.
The wire carries a charge, Q, which is distributed evenly along the entire
length of the wire, giving it a uniform linear charge density, . A
Gaussian cylinder of length L and radius R is coaxial with the wire and
encloses a portion of the charged wire. What is the charge enclosed by
the Gaussian cylinder? Answer: =gamma*L
⫸ A solid sphere of radius R is made of an insulating material. It holds
a charge, Q, which is distributed evenly throughout the sphere and gives
it a uniform volume charge density . What is the magnitude of the
electric field produced by the charged sphere inside the sphere at a radial
distance r from the sphere's center, where 0 < r < R? Answer: = pr/ 3e0
⫸ A thin, spherical shell of radius R is made of an insulating material.
This spherical shell holds a net charge of Q, which is distributed
uniformly over the surface of the spherical shell. What is the surface
charge density, , of this charged spherical shell? Answer: =Q/ 4piR^2
⫸ A metal conducting sphere of radius R holds a total charge Q. What
is the magnitude of the electric field produced by the charged sphere
inside the sphere at a radial distance r from the sphere's center, where 0
< r < R? Answer: E=0
, ⫸ A very large (nearly infinite) plane sheet is made of an insulating
material. The sheet carries a charge, Q, which is distributed evenly over
the entire surface area, giving it a uniform surface charge density, . A
Gaussian cylinder of length L and cross-sectional area A encloses a
portion of the charged sheet, as shown in the figure. What is the charge
enclosed by the Gaussian cylinder? Answer: = oA
⫸ A positive point charge q is surrounded by an imaginary sphere of
radius r, centered on the charge, as shown in the figure. Compare the
electric flux through this sphere to the electric flux through an imaginary
sphere of radius 2r, if it enclosed the same charge q. Answer: The
electric flux through the sphere of radius r is equal to the electric flux
through a sphere of radius 2r
⫸ A positive point charge q is surrounded by an imaginary sphere of
radius r, centered on the charge, as shown in the figure. If you replaced
the positive point charge with an equal but negative point charge, what is
true about the electric flux through the sphere? Answer: The electric flux
would be negative
⫸ A solid cylinder of length L and radius R is made of an insulating
material. This cylinder holds a net charge of Q that is evenly distributed
throughout the cylindrical volume. What is the volume charge density, ,
of this charged cylinder? Answer: p=Q/ piR^2L
⫸ A wire of length L is made of an insulating material. This wire holds
a net charge of Q that is distributed uniformly along the length of the
wire. What is the linear charge density, , of this charged wire? Answer:
gamma= Q/L
