# Worksheet: Gauss’s Law

In this worksheet, we will practice relating the electric flux through a closed surface to the charge contained by that surface.

Q1:

A point charge of 10 µC is at an unspecified location inside a cube of side length 2.0 cm. Find the net electric flux through the surfaces of the cube.

• A N⋅m2/C
• B N⋅m2/C
• C N⋅m2/C
• D N⋅m2/C
• E N⋅m2/C

Q2:

The electric field in a region is given by , where , , and . What is the net charge enclosed by the shaded volume shown? • A C
• B C
• C C
• D C
• E C

Q3:

The cross-sections of the closed surfaces (a), (b), (c), and (d), are shown in the accompanying diagrams.    Find the electric flux through the closed surface (a).

• A N⋅m2/C
• B N⋅m2/C
• C N⋅m2/C
• D N⋅m2/C
• E N⋅m2/C

Find the electric flux through the closed surface (b).

Find the electric flux through the closed surface (c).

• A N⋅m2/C
• B N⋅m2/C
• C N⋅m2/C
• D N⋅m2/C
• E0 N⋅m2/C

Find the electric flux through the closed surface (d).

Q4:

Two large rectangular aluminum plates of area 200 cm2 face each other with a space between them. The facing areas of the plates are charged with equal amounts of opposite charges, totaling 40.0 µC. Find the flux through a circle of radius 2.00 cm between the plates when the normal to the circle makes an angle of with a line perpendicular to the faces of the plates.

• A N⋅m2/C
• B N⋅m2/C
• C N⋅m2/C
• D N⋅m2/C
• E N⋅m2/C

Q5:

A point charge of 12 µC is located at the center of a cube. If there are no other charges present, what is the electric flux through one face of the cube?

• A N⋅m2/C
• B N⋅m2/C
• C N⋅m2/C
• D N⋅m2/C
• E N⋅m2/C

Q6:

The electric flux through a side of a cubical box is N⋅m2/C. What is the total charge enclosed by the box?

• A C
• B C
• C C
• D C
• E C

Q7:

There is a net inward electric flux of N⋅m2/C through the surface of a sphere of radius 8.5 cm. How much charge is inside the sphere?

• A C
• B C
• C C
• D C
• E C

Q8:

Consider a uranium nucleus to be sphere of radius m with a charge of 92 distributed uniformly throughout its volume. An electron is located m from the center of the nucleus.

What is the magnitude of the electric force exerted on an electron?

What is the magnitude of the acceleration of the electron?

• A m/s2
• B m/s2
• C m/s2
• D m/s2
• E m/s2