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Worksheet: Electric Potential of 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 4 . 6 × 1 0 1 1 C
  • B 2 . 3 × 1 0 1 1 C
  • C 6 . 2 × 1 0 1 1 C
  • D 3 . 5 × 1 0 1 1 C
  • E 7 . 7 × 1 0 1 1 C

Q2:

A rod bent into the arc of a circle of radius 0.500 m subtends an angle 2 𝜃 at the center 𝑃 of the circle as shown. Each 𝜃 equals 3 0 . 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 . 2 × 1 0 6 N/C
  • B 9 . 2 × 1 0 8 N/C
  • C 6 9 × 1 0 8 N/C
  • D 6 . 2 × 1 0 8 N/C
  • E 6 3 × 1 0 8 N/C