Worksheet: Absolute Electric Potential

In this worksheet, we will practice calculating the absolute electric potential at different positions due to combinations of radial electric fields.

Q1:

Find the absolute electric potential at point 𝑃 shown in the diagram. Use 8 . 9 8 8 × 1 0 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

  • A 3 . 1 × 1 0 V
  • B 1 . 5 × 1 0 V
  • C 1 . 3 × 1 0 V
  • D 5 . 5 × 1 0 V
  • E 7 . 0 × 1 0 V

Q2:

A particle has a charge of 2.5 mC. Find the absolute electric potential at a point that is 15 cm away from the particle. Use 8 . 9 8 8 × 1 0 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

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

Q3:

Which of the following formulas correctly relates the absolute electric potential 𝑉 caused by a charged particle to the charge of a particle 𝑞 , the distance from the particle 𝑟 , Coulomb’s constant 𝑘 , and the electric field due to a particle 𝐸 ?

  • A 𝑉 = 𝑘 𝑞 𝑟
  • B 𝑉 = 𝑘 𝑞 𝑟
  • C 𝑉 = 𝐸 𝑟
  • D 𝑉 = 𝑘 𝑞 𝑟
  • E 𝑉 = 𝑘 𝑞 𝑟

Q4:

Two charged objects are separated by a distance of 45 μm. One object has a charge of 2.2 mC and the other object has a charge of 1 . 9 mC. What is the absolute electric potential at the point halfway between the objects? Use 8 . 9 8 8 × 1 0 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

  • A 0 V
  • B 1 . 9 × 1 0 V
  • C 1 . 2 × 1 0 V
  • D 1 . 2 × 1 0 V
  • E 5 . 4 × 1 0 V

Q5:

An electron passes an object with a charge of 3.3 mC, and at the point of the electron’s closest approach distance 𝑑 , the value of the absolute electric potential due to the object is 2.8 µV. Find 𝑑 . Use 8 . 9 8 8 × 1 0 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

  • A 0.30 m
  • B 0.011 m
  • C 1 . 1 × 1 0 m
  • D 0.035 m
  • E 3 . 5 × 1 0 m

Q6:

Two charged objects, each with a charge of 28 µC, are separated by a distance of 15 mm. What is the absolute electric potential at the point halfway between the objects? Use 8 . 9 8 8 × 1 0 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

  • A 0 V
  • B 6 . 7 × 1 0 V
  • C 3 . 4 × 1 0 V
  • D 8 . 9 × 1 0 V
  • E 6 . 7 × 1 0 V

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