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Worksheet: Gauss’s Law

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 E i = 𝑎 ( 𝑏 + 𝑐 𝑥 ) , where 𝑎 = 2 0 0 / N m C , 𝑏 = 2 . 0 m , and 𝑐 = 2 . 0 . What is the net charge enclosed by the shaded volume shown?

  • A 6 . 6 × 1 0 1 0 C
  • B 6 . 0 × 1 0 1 0 C
  • C 8 . 0 × 1 0 1 0 C
  • D 8 . 9 × 1 0 1 0 C
  • E 9 . 6 × 1 0 1 0 C

Q3:

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