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 8.988×10 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

  • A3.1×10 V
  • B7.0×10 V
  • C1.5×10 V
  • D5.5×10 V
  • E1.3×10 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 8.988×10 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

  • A1.5×10 V
  • B1.5×10 V
  • C2.5×10 V
  • D1.0×10 V
  • E3.7×10 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?

  • A𝑉=𝑘𝑞𝑟
  • B𝑉=𝐸𝑟
  • C𝑉=𝑘𝑞𝑟
  • D𝑉=𝑘𝑞𝑟
  • E𝑉=𝑘𝑞𝑟

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 8.988×10 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

  • A1.2×10 V
  • B0 V
  • C5.4×10 V
  • D1.9×10 V
  • E1.2×10 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 8.988×10 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

  • A0.035 m
  • B0.30 m
  • C0.011 m
  • D3.5×10 m
  • E1.1×10 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 8.988×10 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

  • A0 V
  • B6.7×10 V
  • C6.7×10 V
  • D3.4×10 V
  • E8.9×10 V

Q7:

The diagram shows two charges; one is 145 mC and the other, 𝑞, is negative but of unknown magnitude. At point 𝑃, the absolute electric potential due to the charges is zero.

Find the value of the unknown charge 𝑞. Answer to three significant figures.

Determine how far along the horizontal line between the charges, from the position of the 145 mC charge, the absolute electric potential due to the charges is zero. Answer to three significant figures.

Q8:

An object with a charge of 1.0 C is at a horizontal distance of 1.0 m from an object with a charge of 2.0 C. A point 𝑃 is 0.25 m away from the 1.0 C charge object, along the line connecting the objects’ centers. How far vertically from 𝑃 is the nearest point where the absolute electric potential due to the objects’ charges is zero? Answer to two significant figures.

Q9:

The absolute electric potential at a point 48 cm away from a charged particle is 1.5 nV. Find the charge of the charged particle. Use 8.988×10 N⋅m2/C2 for the value of Coulomb’s constant. Answer to two significant figures.

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