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 2 . 5 × 1 0 6 N⋅m2/C
  • B 5 . 0 × 1 0 6 N⋅m2/C
  • C 2 . 1 × 1 0 6 N⋅m2/C
  • D 1 . 1 × 1 0 6 N⋅m2/C
  • E 1 . 5 × 1 0 6 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.