Lesson Worksheet: Electric Field Equipotential Lines Physics

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:

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 a and b. Which of the lines could be an equipotential line of the electric field between the surfaces?

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

Q2:

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?

  • A𝑉=π‘‰οŒ½οŒΏ and 𝑉=𝑉
  • B𝑉=𝑉=𝑉=π‘‰οŒΊοŒΌοŒ½οŒΎ
  • C𝑉=𝑉=π‘‰οŒ½οŒΏο€ and 𝑉=𝑉=𝑉=π‘‰οŒΎο‚οƒο…
  • D𝑉=π‘‰οŒΊοŒ»

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?

  • ANonzero
  • BZero

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

Q4:

The two charged objects shown in the diagram have charges of π‘žοŠ§ and π‘žοŠ¨ respectively. Lines of equal absolute electric potential around the objects are shown.

Do the charges π‘žοŠ§ and π‘žοŠ¨ have like signs or opposite signs?

  • ALike signs
  • BOpposite signs

Which of the following statements about the magnitudes of charges π‘žοŠ§ and π‘žοŠ¨ is correct?

  • Aπ‘ž=π‘žοŠ§οŠ¨
  • Bπ‘ž<π‘žοŠ§οŠ¨
  • Cπ‘ž>π‘žοŠ§οŠ¨

Q5:

The two charged objects shown in the diagram have charges of π‘žοŠ§ and π‘žοŠ¨ respectively. Lines of equal absolute electric potential around the objects are shown.

Do the charges π‘žοŠ§ and π‘žοŠ¨ have like signs or opposite signs?

  • AOpposite signs
  • BLike signs

Which of the following statements about the magnitudes of charges π‘žοŠ§ and π‘žοŠ¨ is correct?

  • Aπ‘ž=π‘žοŠ§οŠ¨
  • Bπ‘ž<π‘žοŠ§οŠ¨
  • Cπ‘ž>π‘žοŠ§οŠ¨

Q6:

An initially stationary electron moves along the path between the points 𝐴 and 𝐡 shown in the diagram of the electric field equipotential lines of two equal negative charges.

Is the magnitude of the absolute electric potential at point 𝐡 less than, equal to, or greater than at point 𝐴?

  • AGreater than
  • BLess than
  • CEqual to

Is the electric potential energy at point 𝐡 greater than, equal to, or less than at point 𝐴?

  • ALess than
  • BGreater than
  • CEqual to

Is the electron’s kinetic energy at point 𝐡 less than, equal to, or greater than at point 𝐴?

  • ALess than
  • BEqual to
  • CGreater than

Q7:

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

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

Q8:

An electron moves along the path between the points A and B shown in the diagram of the electric field equipotential lines of two equal-magnitude charges with opposite signs. Point A is at the midpoint between the two charges. The electron has no horizontal velocity component.

At point A, is the magnitude of the absolute electric potential zero or nonzero?

  • ANonzero
  • BZero

Does the electric potential energy increase, decrease, or remain constant as the electron moves from A to B?

  • AIncreases
  • BRemains constant
  • CDecreases

Is the magnitude of the absolute electric potential at point B less than, equal to, or greater than at point A?

  • ALess than
  • BEqual to
  • CGreater than

Is the electron’s kinetic energy at point B less than, equal to, or greater than at point A?

  • AEqual to
  • BGreater than
  • CLess than

Q9:

An initially stationary electron moves along the path between the points A and B shown in the diagram of the electric field equipotential lines of two equal-magnitude charges with opposite signs. The electron is nearer to the negative charge. Point B is at the midpoint between the two charges.

Is the magnitude of the absolute electric potential at point B less than, equal to, or greater than at point A?

  • AEqual to
  • BLess than
  • CGreater than

Is the electric potential energy at point B greater than, equal to, or less than at point A?

  • AGreater than
  • BLess than
  • CEqual to

Is the electron’s kinetic energy at point B less than, equal to, or greater than at point A?

  • ALess than
  • BGreater than
  • CEqual to

Q10:

An initially stationary electron moves along the path between the points A and B shown in the diagram of the electric field equipotential lines of two equal-magnitude charges with opposite signs. The electron is nearer to the negative charge.

Is the magnitude of the absolute electric potential at point B less than, equal to, or greater than at point A?

  • AEqual to
  • BGreater than
  • CLess than

Is the electric potential energy at point B greater than, equal to, or less than at point A?

  • ALess than
  • BEqual to
  • CGreater than

Is the electron’s kinetic energy at point B less than, equal to, or greater than at point A?

  • AGreater than
  • BEqual to
  • CLess than

This lesson includes 7 additional questions for subscribers.

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