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Electric and Magnetic Fields

Inverse-square behaviour and combining fields

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on how force and field strength change with separation, the log-log test for an inverse-square law, and finding a resultant field from two charges.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What gradient is expected from a log E against log r graph, and what happens if two charges and their separation are all doubled?

Numbers

What is one similarity and one difference between Coulomb's law and Newton's law of gravitation?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    The separation of two point charges is trebled. What happens to the force between them?

    Model answer

    It falls to one ninth of its original value, because the force varies as 1/r².

  2. 2

    Both of two point charges are doubled and their separation is also doubled. What happens to the force?

    Model answer

    It is unchanged, because the product of the charges increases by a factor of four while the r² term also increases by a factor of four.

  3. 3

    What shape is a graph of electric field strength against distance from a point charge?

    Model answer

    It is a curve that falls steeply at small distances and then flattens, approaching zero asymptotically as an inverse-square relationship.

  4. 4

    What graph would you plot to test whether measured field strengths obey an inverse-square law?

    Model answer

    A graph of field strength against 1/r², which gives a straight line through the origin if the law holds.

  5. 5

    If log E is plotted against log r for a point charge, what gradient is expected?

    Model answer

    A gradient of −2, because E is proportional to r⁻².

  6. 6

    Two charges of +3.0 nC each are held 5.0 cm apart in a vacuum. What is the force between them?

    Model answer

    F = 8.99 × 10⁹ × (3.0 × 10⁻⁹)² ÷ (0.050)² = 3.2 × 10⁻⁵ N, and the force is repulsive.

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