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Lesson: Electric Potential of a Charged Sphere

Worksheet: Electric Potential of a Charged Sphere • 4 Questions

Q1:

A 0.500-cm-radius plastic sphere, used in a static electricity demonstration, has a uniformly distributed 40.0-pC charge on its surface. What is the electric potential just outside the sphere’s surface?

Q2:

A Van de Graaff generator has a 2.00-m-diameter metal sphere with a charge of 5.00 mC on it.

What is the potential near its surface?

At what distance from its center is the potential 1.00 MV?

The charge of an electron is C and the charge of a proton is C. An oxygen atom with eight protons and three missing electrons is released near the Van de Graaff generator. What is the electrical potential energy of this atom when it is at a distance from the generator for which the potential of the electric field around the generator is 1.00 MV?

Q3:

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
  • B N/C
  • C0 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.

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

Q4:

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
  • C N/C
  • D N/C
  • E0 N/C
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