Question 1

According to Gauss's law, what is the total electric flux $$\Phi_E$$ through a closed surface that encloses a net charge $$Q_{in}$$?

Accepted Answer

$$\Phi_E = \frac{Q_{in}}{\$$epsilon_0$$}$$

Question 2

Which of the following statements about conductors in electrostatic equilibrium is correct?

Accepted Answer

Excess charge resides only on the surface of the conductor.

Question 3

A long, straight wire carries a uniform linear charge density $$\lambda. $$Using Gauss's law and cylindrical symmetry, what is the magnitude of the electric field at a distance $$r$$ from the wire (outside the wire)?

Accepted Answer

$$E = \frac{\lambda}{2\pi\$$epsilon_0$$ r}$$

Question 4

Which of the following is NOT a type of symmetry that makes Gauss's law easy to apply?

Accepted Answer

Rectangular symmetry

Question 5

A point charge $$q is $$placed at the center of a spherical Gaussian surface of radius $$R. $$What is the electric flux through the surface?

Accepted Answer

$$\frac{q}{\$$epsilon_0$$}$$

Question 6

If a closed surface encloses no net charge, what is the total electric flux through the surface?

Accepted Answer

It is zero.

Question 7

A large, flat, non-conducting sheet has a uniform surface charge density $$\sigma. $$What is the magnitude of the electric field just above the surface?

Accepted Answer

$$E = \frac{\sigma}{2\$$epsilon_0$$}$$

Question 8

Which of the following best describes electric flux?

Accepted Answer

The amount of electric field passing through a surface.

Question 9

A hollow conducting sphere is given a net positive charge. Where does the excess charge reside?

Accepted Answer

On the outer surface.

Question 10

A solid non-conducting sphere of radius $$R$$ has a uniform charge density $$\rho. $$What is the electric field at a distance $$r \u003c R$$ from the center?

Accepted Answer

$$E = \frac{\rho r}{3\$$epsilon_0$$}$$

Question 11

Which of the following is a correct application of Gauss's law?

Accepted Answer

Calculating the electric field for highly symmetric charge distributions.

Question 12

A cube encloses a net charge $$Q_{in}. If $$the electric field is uniform and perpendicular to one face, what is the net electric flux through the cube?

Accepted Answer

$$\frac{Q_{in}}{\$$epsilon_0$$}$$

Question 13

Why is the electric field inside a conductor zero in electrostatic equilibrium?

Accepted Answer

Because any nonzero field would cause charges to move until equilibrium is reached.

Question 14

A spherical shell of radius $$R$$ carries a total charge $$Q$$ uniformly distributed on its surface. What is the electric field at a point inside the shell ($$r \u003c R$$)?

Accepted Answer

$$E = 0$$

Question 15

Which of the following is a necessary condition for using Gauss's law to easily calculate the electric field?

Accepted Answer

The charge distribution must be highly symmetric.

Gauss's Law and Electric Flux: Symmetry and Applications

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