Worksheet: Electric Potential of a Ring of Charge

In this worksheet, we will practice calculating the absolute electric potential at a given displacement from a ring of charge.

Q1:

A uniformly charged ring of radius 10 cm is placed on a nonconducting table. It is found that 3.0 cm above the centroid of the half-ring the potential is 3.0 V, taking zero potential to be at infinity. How much charge is contained in the half-ring?

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

Q2:

A rod bent into the arc of a circle of radius 0.500 m subtends an angle 2𝜃 at the center 𝑃 of the circle as shown. Each 𝜃 equals 30. If the rod is charged uniformly with a total density 0.033 C/m, what is the magnitude of the electric field at 𝑃?

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

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