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Charge and Field

Radial fields and the inverse square law

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on F = kqQ/r² and E = kQ/r², the electric force constant and the permittivity of free space ε₀, force and field calculations, attraction and repulsion, tripling the separation, field patterns around a negative charge and a pair of opposite charges, charged spheres as point charges, zero field inside a hollow conductor, surface charge, and sharp points.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Write the equation for the electric force between two point charges.

Key term

Why does excess charge on a solid conductor sit on its outer surface?

Key term

State the value of the electric force constant k and the relationship that defines it.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Write the equation for the electric force between two point charges.

    Model answer

    The force is F = kqQ/r², where q and Q are the charges, r is their separation and k is the electric force constant.

  2. 2

    State the value of the electric force constant k and the relationship that defines it.

    Model answer

    The electric force constant is k = 1/(4πε₀), and its value is 8.98 × 10⁹ N m² C⁻².

  3. 3

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

    Model answer

    The permittivity of free space is ε₀ = 8.85 × 10⁻¹² C² N⁻¹ m⁻², which may also be written as F m⁻¹.

  4. 4

    Write the equation for the electric field strength at a distance r from a point charge Q.

    Model answer

    The field strength is E = kQ/r², directed radially away from Q if Q is positive.

  5. 5

    Calculate the force between charges of 2.0 × 10⁻⁸ C and 3.0 × 10⁻⁹ C placed 0.050 m apart in air.

    Model answer

    F = kqQ/r² = 8.98 × 10⁹ × 2.0 × 10⁻⁸ × 3.0 × 10⁻⁹ ÷ (0.050)² = 2.2 × 10⁻⁴ N.

  6. 6

    Calculate the electric field strength 0.050 m from a point charge of 2.0 × 10⁻⁸ C.

    Model answer

    E = kQ/r² = 8.98 × 10⁹ × 2.0 × 10⁻⁸ ÷ (0.050)² = 7.2 × 10⁴ V m⁻¹.

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The two charges .
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AThe neutron has lepton number 0.
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There are 2π rad in a full circle.
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