# Worksheet: Charge Enclosed in a Spherically Symmetric Region

In this worksheet, we will practice using Gauss' law to relate the electric flux through a closed surface to the amount of charge enclosed by that surface.

Q1:

The electric flux through a spherical surface is N⋅m2/C. What is the net charge enclosed by the surface?

• A C
• B C
• C C
• D C
• E C

Q2:

A charge of +3.0 µC is put on the surface of a hollow aluminum spherical ball which has a radius of 5.0 cm. The charge is in equilibrium at the outer surface of the ball.

Determine the magnitude of the electric field produced by this charge at a point 1.0 cm from the center of the aluminum ball.

• A N/C
• B0 N/C
• C N/C
• D N/C
• E N/C

Determine the magnitude of the electric field produced by this charge at a point 10 cm from the center of the aluminum ball.

• A0 N/C
• B N/C
• C N/C
• D N/C
• E N/C

Q3:

A charge of µC is distributed uniformly over the surface of a spherical volume of radius 10.0 cm.

Determine the electric field due to this charge at a distance of 2.0 cm from the center of the sphere.

• A N/C
• B N/C
• C0 N/C
• D N/C
• E N/C

Determine the electric field due to this charge at a distance of 5.0 cm from the center of the sphere.

• A N/C
• B N/C
• C0 N/C
• D N/C
• E N/C

Determine the electric field due to this charge at a distance of 20.0 cm from the center of the sphere.

• A N/C
• B N/C
• C0 N/C
• D N/C
• E N/C