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Electrostatic and Gravitational Fields of Force

Electric potential and the work done on a charge

  • 3 things to know
  • A2 Unit 4 Section A

Overview

Recall questions on Electric potential and the work done on a charge.

What you need to know

Answer each one before you reveal it.

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Key term

Give the equation for the electric potential due to a point charge and define every symbol.

Key term

Is electric potential a scalar or a vector quantity?

Key term

What is the electric potential at an infinite distance from a charge?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the electric potential at a point.

    Model answer

    Electric potential at a point is the work done per unit positive charge in bringing a small test charge from infinity to that point.

  2. 2

    Give the equation for the electric potential due to a point charge and define every symbol.

    Model answer

    Vₑ = Q/(4πε₀r), where Vₑ is the potential in volts, Q the charge in coulombs, ε₀ the permittivity of free space and r the distance from the charge in metres.

  3. 3

    State the unit of electric potential.

    Model answer

    The volt. That is one joule per coulomb.

  4. 4

    Is electric potential a scalar or a vector quantity?

    Model answer

    A scalar, so potentials from several charges are added as ordinary numbers with their signs.

  5. 5

    What is the electric potential at an infinite distance from a charge?

    Model answer

    Zero, since that is the reference point from which the work is measured.

  6. 6

    Why can the electric potential near a charge be negative?

    Model answer

    A negative charge attracts a positive test charge, so work is released rather than done in bringing it from infinity.

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