Worksheet: Electric Field Equipotential Lines

In this worksheet, we will practice identifying equipotential lines of electric fields and their relations to changes of energy of particles in such fields.

Q1:

The diagram shows a pair of charged plates, one of which is regularly shaped and the other is irregularly shaped and has a nonuniform charge. Some areas in the electric field between the plates are uniform and other areas are nonuniform. Which of the following sets of points are at the same potential as each other?

  • A 𝑉 = 𝑉 = 𝑉    and 𝑉 = 𝑉 = 𝑉 = 𝑉    
  • B 𝑉 = 𝑉 = 𝑉 = 𝑉    
  • C 𝑉 = 𝑉   and 𝑉 = 𝑉  
  • D 𝑉 = 𝑉  

Q2:

Two surfaces, with equal uniformly distributed total charge, are positioned parallel to each other. The center of one surface is positioned at a greater distance from the surface it faces, as shown in the diagram. Four lines are shown, and the ends of each line intersect the points π‘Ž and 𝑏 . Which of the lines could be an equipotential line of the electric field between the surfaces?

  • ALine III
  • BLine I
  • CLine II
  • DLine IV

Q3:

An electron moves along the dashed path shown in the diagram of the electric field equipotential lines of two equal magnitude charges with opposite signs.

Is the electron’s initial kinetic energy zero or nonzero?

  • AZero
  • BNonzero

Does the absolute electric potential change along the path traveled by the electron?

  • AYes
  • BNo

Does the electric potential energy change along the path traveled by the electron?

  • AYes
  • BNo

Does the electron’s kinetic energy change as it travels along the path that it follows?

  • ANo
  • BYes

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