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Electric Fields

Coulomb's law

  • 3 things to know
  • Unit A2 2

Overview

Recall questions on the statement of the law and the equation in both its ε₀ and k forms with the values of both constants, what the sign of the answer means, the inverse square behaviour, worked force calculations for laboratory charges and for the hydrogen atom, and when a charged sphere may be treated as a point charge.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Give the equation for the force between two point charges and define each symbol.

Key term

Give the value and unit of the permittivity of free space.

Key term

How is Coulomb's law written using the constant k?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State Coulomb's law.

    Model answer

    The force between two point charges is proportional to the product of the charges and inversely proportional to the square of the distance between them.

  2. 2

    Give the equation for the force between two point charges and define each symbol.

    Model answer

    F = q₁q₂/(4πε₀r²), where F is the force in newtons, q₁ and q₂ the charges in coulombs, r their separation in metres and ε₀ the permittivity of free space.

  3. 3

    Give the value and unit of the permittivity of free space.

    Model answer

    ε₀ is 8.85 × 10⁻¹² F m⁻¹.

  4. 4

    How is Coulomb's law written using the constant k?

    Model answer

    F = kq₁q₂/r², where k is equal to 1/(4πε₀).

  5. 5

    Calculate the value of k from ε₀.

    Model answer

    k = 1 ÷ (4π × 8.85 × 10⁻¹²) = 1 ÷ 1.112 × 10⁻¹⁰, which is 8.99 × 10⁹ N m² C⁻².

  6. 6

    What does a positive value of the force calculated from Coulomb's law indicate?

    Model answer

    That the force is repulsive, which happens when the two charges have the same sign.

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AA current I is a charge q passing in time t.
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Coulomb is a quantity of charge.
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