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Electrostatic and Gravitational Fields of Force

Electric potential and potential energy

  • 3 things to know
  • Component 2

Overview

Electric potential at a point, unit of electric potential and sign of the electric potential near an isolated negative charge.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation for the electric potential at a distance r from a point charge.

Key term

Define the electric potential at a point.

Key term

What is the unit of electric potential?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the electric potential at a point.

    Model answer

    The electric potential at a point is the work done in bringing a unit positive charge from infinity to that point.

  2. 2

    What is the unit of electric potential?

    Model answer

    Electric potential is measured in volts, and one volt is one joule per coulomb.

  3. 3

    State the equation for the electric potential at a distance r from a point charge.

    Model answer

    The potential is Vₑ = (1/4πε₀)(Q/r), where Vₑ is in volts, Q is the charge in coulombs and r is the distance in metres.

  4. 4

    Calculate the electric potential 0.30 m from a point charge of +4.0 nC.

    Model answer

    The potential is Vₑ = 9.0 × 10⁹ × 4.0 × 10⁻⁹ ÷ 0.30 = 120 V. Substituting back, Q = Vₑ r/k = 120 × 0.30 ÷ 9.0 × 10⁹ = 4.0 nC.

  5. 5

    What is the sign of the electric potential near an isolated negative charge?

    Model answer

    The potential is negative everywhere around it, because work is released rather than done in bringing a positive test charge in from infinity.

  6. 6

    Where is the electric potential taken to be zero, and why is that choice made?

    Model answer

    It is taken as zero at infinity, because that is where a test charge is completely free of the influence of the charge producing the field.

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