Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Charge Enclosed in a Spherically Symmetric Region

Sample Question Videos

Worksheet • 3 Questions • 2 Videos

Q1:

The electric flux through a spherical surface is 4 . 0 × 1 0 4 N⋅m2/C. What is the net charge enclosed by the surface?

  • A 3 . 5 × 1 0 7 C
  • B 5 . 0 × 1 0 7 C
  • C 2 . 1 × 1 0 7 C
  • D 4 . 1 × 1 0 7 C
  • E 2 . 8 × 1 0 7 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 0 N/C
  • B 4 . 0 × 1 0 6 N/C
  • C 0 . 7 2 × 1 0 6 N/C
  • D 2 . 5 × 1 0 6 N/C
  • E 1 . 8 × 1 0 6 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.

  • A 2 . 7 × 1 0 6 N/C
  • B 2 . 3 × 1 0 6 N/C
  • C 0 N/C
  • D 1 . 6 × 1 0 6 N/C
  • E 1 . 3 × 1 0 6 N/C

Q3:

A charge of 3 0 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 0 N/C
  • B 7 . 6 × 1 0 6 r N/C
  • C 1 . 5 × 1 0 6 r N/C
  • D 3 . 0 × 1 0 6 r N/C
  • E 2 . 3 × 1 0 6 r N/C

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

  • A 0 N/C
  • B 4 . 1 × 1 0 6 r N/C
  • C 1 . 1 × 1 0 6 r N/C
  • D 3 . 0 × 1 0 6 r N/C
  • E 2 . 3 × 1 0 6 r N/C

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

  • A 6 . 7 × 1 0 6 r N/C
  • B 9 . 0 × 1 0 6 r N/C
  • C 0 N/C
  • D 3 . 2 × 1 0 6 r N/C
  • E 1 . 5 × 1 0 6 r N/C
Preview