Question 1

Which of the following best describes Gauss's Law?

Accepted Answer

The net electric flux through any closed surface is proportional to the net charge enclosed by that surface.

Question 2

What is the mathematical expression for Gauss's Law in integral form?

Accepted Answer

$$\int \vec{E} \cdot d\vec{A} = \frac{Q_{enclosed}}{\$$epsilon_0$$}$$

Question 3

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

Accepted Answer

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

Question 4

If a closed surface encloses equal amounts of positive and negative charge, what is the net electric flux through the surface?

Accepted Answer

$$0$$

Question 5

A cube of side $$a = 0.1 m is $$placed in a uniform electric field $$E = 2.0 	imes 10^3$ N/C oriented in the x$-direction. What is the net electric flux through the surface of the cube?

Accepted Answer

$$0$$

Question 6

Which of the following is true about the electric field inside a conductor in electrostatic equilibrium?

Accepted Answer

The electric field inside the conductor is zero.

Question 7

What is the electric field at a distance $$r$$ from an infinite line of charge with linear charge density $$\lambda$$?

Accepted Answer

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

Question 8

What is the electric field at a distance $$y$$ from an infinite plane of charge with surface charge density $$\sigma$$?

Accepted Answer

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

Question 9

Which of the following is a correct statement about electric flux?

Accepted Answer

Electric flux depends on both the magnitude of the electric field and the orientation of the surface.

Question 10

A closed surface encloses three charges: $$+Q$$, $$-Q$$, and $$+2Q. $$What is the net electric flux through the surface?

Accepted Answer

$$\frac{2Q}{\$$epsilon_0$$}$$

Question 11

Which Gaussian surface would be most appropriate to use for finding the electric field due to an infinite plane of charge?

Accepted Answer

A cylinder with its axis perpendicular to the plane

Question 12

If the net electric flux through a closed surface is zero, which of the following must be true?

Accepted Answer

The net charge enclosed by the surface is zero.

Question 13

A non-uniform electric field passes through a closed surface. If the net charge inside the surface is zero, what can be said about the net electric flux?

Accepted Answer

The net electric flux is zero.

Question 14

Which of the following is the correct expression for surface charge density $$\sigma$$?

Accepted Answer

$$\sigma = \frac{Q}{A}$$

Question 15

A spherical Gaussian surface of radius $$r$$ encloses a charge $$q. If $$the radius is doubled, what happens to the net electric flux through the surface?

Accepted Answer

It remains the same.

Question 16

Which of the following is the correct expression for the volume charge density $$\rho$$?

Accepted Answer

$$\rho = \frac{Q}{V}$$

Question 17

A closed surface encloses a net charge $$Q. $$What is the net electric flux through the surface?

Accepted Answer

$$\frac{Q}{\$$epsilon_0$$}$$

Question 18

Which of the following is the correct expression for linear charge density $$\lambda$$?

Accepted Answer

$$\lambda = \frac{Q}{L}$$

Question 19

A closed surface encloses no net charge, but the electric field is nonzero at some points on the surface. What is the net electric flux through the surface?

Accepted Answer

$$0$$

Question 20

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 have a high degree of symmetry.

Gauss's Law and Electric Flux: Applications and Concepts

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